Which answer choice correctly solves for a and b?

Which Answer Choice Correctly Solves For A And B?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex]  = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a = 6[tex]\sqrt{2}[/tex]

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so

b = 6


Related Questions

Express (root 19 - root 7)(root 19 + root 7) in simplest form.

Answers

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

please help
solve for u
5u^2=-3u+2

Answers

U=-2/5, 1, hope this helps!

what is the approximate shadow in feet of the tree in the figure below.​

Answers

Answer:

224 ft

Step-by-step explanation:

The tree makes a 90° angle with the ground, so we have a right triangle.

For the 32° angle, the height of the tree is the opposite leg. The length of the shadow on the ground is the adjacent leg.

The trig ratio that relates the opposite leg to the adjacent leg is the tangent.

Let the length of the shadow of the tree on the ground be x.

tan A = opp/adj

tan 32° = 140 ft/x

x = 140 ft/tan 32°

x = 224 ft

Answer: 224 ft

In a right triangle, two sides are 12 and 13. Find the measure of the third side. Consider all cases

Answers

Answer:

Case 1

12 and 13 are legs, then find the hypotenuse.

c = [tex]\sqrt{12^2+13^2} = \sqrt{313}[/tex] ≈ 17.69

Case 2

13 is hypotenuse, 12 is a leg, find the missing leg.

b = [tex]\sqrt{13^2-12^2} = \sqrt{25} = 5[/tex]

Answer:

Solution given:

Case 1:

if base=12

hypotenuse=13

perpendicular=??

By using Pythagoras law

hypotenuse²=perpendicular²+base²

13²=perpendicular ²+12²

perpendicular ²=13²-12²

perpendicular=[tex]\sqrt{13²-12²}=\sqrt{25}=5[/tex]units

Case:2:

Case 1:

if base=12

hypotenuse=13

perpendicular=??

By using Pythagoras law

hypotenuse²=perpendicular²+base²

13²=perpendicular ²+12²

perpendicular ²=13²-12²

perpendicular=[tex]\sqrt{13²-12²}=\sqrt{25}=\bold{\large{5}}[/tex]units

Case:2:

if base=12

hypotenuse=??

perpendicular=13

By using Pythagoras law

hypotenuse²=perpendicular²+base²

hypotenuse²=13 ²+12²

hypotenuse² ²=13²+12²

hypotenuse²=[tex]\sqrt{13²+12²}=\sqrt{313}=\bold{\large{17.7}}[/tex]units

Which linear inequality is represented by the graph?

Answers

Answer:

Wow

Step-by-step explanation:

I love the question pls i also want to know the answer to it

18) Both x and y coordinates of a point in quadrant 1 are negative.

Answers

Answer:

false

Step-by-step explanation:

the first quadrant of a coordinate plane is the upper right corner

this means that both x and y coordinates of a point would have to be positive

therefore it's false

hope this helps!

How to do this question

Answers

Answer:

Step-by-step explanation:

Answered by G a u t h m a t h

Please mark it as brainliest & thank it if it helped you

PLEASE HELP!!!!!!!!

Answers

Answer:  3

Step-by-step explanation:                                                                                                          

[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex]                                                [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]                                                                                    

find the value or x.
-
a. 5
b. 11
c. 25
d. 31

Answers

11 because it is bigger than EB and smaller then DF

whats the correct ordered pair for, x+y=12 and -x=-y-10

Answers

i'm doing this as a system, ok?

x + y = 12

- x = - y - 10

x + y = 12

-x + y = -10

2y = 2

y = 1

x + 1 = 12

x = 11

so, the ordered pair is (11, 1) -> remember that the x always comes first

hope it helps :)

Answer:yes yes culo Rotox (b

Step-by-step explanation: pro gard1bas x12x14x20¿142

1+1×2+3+5×8÷3+2/3×8+1+1+4=?

Answers

Answer:

92/3

Step-by-step explanation:

PEMDAS

(Parentheses Exponents Multiplication Division Addition Subtraction)

No Parentheses

No Exponents

Multiplication:

1+ 2 +3+ 40 ÷3+ 16/3 +1+1+4

Division:

1+2+3+ 40/3 +16/3+1+1+4

Addition:

12 + 56/3 = 92/3

No Subtraction

**Assuming "/" indicates a fraction and "÷" indicates division (2/3 × 8 is different than 2 ÷ 3 × 8)

a grocer mixes 20.25 kg of green tea with 35.10 kg of ordinary tea and repacks all tea in 45 packets of equal weight. how much does each packet weigh?

Answers

Answer:

1.23 kg

Step-by-step explanation:

(20.25 kg + 35.10 kg) : 45 = 1.23 kg

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the nearest hundredth when necessary.

Answers

Answer: the perimeter is 20

Step-by-step explanation:

Distance between C and D

Sqrt (-2-1)^2 + (1- -3)^2=

Sqrt -3^2 + 4^2=

Sqrt 25 = 5

Between D and E

Sqrt(5-2)^2+(0-4)^2=

Sqrt 25 = 5

Between E and F

Sqrt(1-5)^2+(-3-0)^2=

Sqrt 25=5

It is a square

The value of the perimeter of a quadrilateral is, 20 units

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Vertices are,

C (- 2, 1), D (2, 4), E (5, 0), and F (1, - 3).

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

CD = √(- 2 - 2)² + (1 - 4)²

CD = √16 + 9

CD = √25

CD = 5

DE = √( 2 - 5)² + (4 - 0)²

DE = √9 + 16

DE = √25

DE = 5

EF = √(5 - 1)² + (0 + 3)²

EF = √16 + 9

EF = √25

EF = 5

FC = √(- 2 - 1)² + (1 + 3)²

FC = √9 + 16

FC = 5

Thus, The value of the perimeter of a quadrilateral is,

CD + DE + EF + FC

5 + 5 + 5 + 5

20 units

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

For the quadratic, y = -2(x - 1)(x + 4), the x-intercepts are

Answers

Answer:

I think (-2, 13) or (-2, 12)

I am really bad at algebra please help!!
I need it now please with explanation ☺️​

Answers

Answer:

E. 7x

Step-by-step explanation:

3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .

So they remain the same.

(e) 12x

(f) 12x²

(g) 12x²

(h) 1x

(I) 2x²

(J) 2x²

(K) -10x

(L) -20x

(M) 6x²

(N) 20x²

(O) -15x²

(P) -12x³

Your answers were wrong so i did all of them

Quick tip the power comes only when you multiply and not when you add

For example x + x = 2x

x × x = x²

All the answers

Must click thanks and mark brainliest

What is the sum of the interior angles of the octagon below?
Select one:
a. 360°
b.720°
C. 1,080
d. 800

Answers

Answer:

Option C, 1,080

Step-by-step explanation:

sum of the interior angles of the octagon,

(8-2)×180

= 6×180

= 1080

Answered by GAUTHMATH

Which of the following is true about the sequence graphed below? (and Why)

Options:

• The sequence is arithmetic because the terms have a common difference.
• The sequence is arithmetic because the terms do not have a common difference.
• The sequence is not arithmetic because the terms have a common difference.
• The sequence is not arithmetic because the terms do not have a common difference.

Answers

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

HELP ME !! find the value of x​

Answers

Answer:

ERROR

Step-by-step explanation:

a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours

Answers

1 hour = 60 minutes

3.5 hours x 60 = 210 minutes

210 minutes / 7.5 minutes per mile = 28 miles

Answer: 28 miles

Write a function rule for the table. (Help please)
is it a,b,c or d

Answers

c. f(x)=x+1 because everytime there is 1 added to the original value

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.

Answers

Answer:

1/4

Step-by-step explanation:

Count all of the vowels (this will be your numerator):

A and E

2

Count all of the letters (this will be your denominator):

A, B, C, D, E, F, G, and H

8

Write this as a fraction:

2/8

Simplify:

2/8 = 1/4

Find the area of the shaded region.

A. 160 in²
B. 160.5 in²
C. 96 in²
D. 192 in²

Answers

Answer:

C. 96 in²

Step-by-step explanation:

24x8=192

1/2 x24x8= 96

192-96=96

find the 80th term following arithmetic sequence 8,14,20,26

Answers

Answer:

The 80th term is 482

Step-by-step explanation:

8,14,20,26

This is an arithmetic sequence

Find the common difference by taking the second term and subtracting the first term

14-8 = 6

We are adding 6 each time

The formula for an arithmetic sequence is

an =a1+d(n-1)  where a1 is the first term, d is the common difference and n is the term we are looking for

a80 = 8+6(80-1)

       = 8 + 6*79

     = 8+474

    = 482

The 80th term is 482

Answer: 482

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{Rule:} \\\\\boxed{ \huge \boxed{a_n=a_1+(n-1)d }} } \ \ \\\\\\ 8 \underbrace{}_6 14 \underbrace{}_620\underbrace{}_626 ......a_{80}=? \\\\\\a_1=8 \ \ ; \ \ d=6 \\\\\\ a_{80}=8+(80-1)\cdot 6=480+8-6=482 \\\\\\\\ Answer: \boxed{\boldsymbol{ a_{80}=482}}[/tex]

Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form

Answers

In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.

Slope-intercept formula:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]

Point (0,0):

This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:

[tex]y = mx[/tex]

Slope:

When we have two points, the slope is given by the change in y divided by the change in x.

In this question, the two points are (0,0) and (-8,8).

Change in x: -8 - 0 = -8

Change in y: 8 - 0 = 8

Slope:

[tex]m = \frac{-8}{8} = -1[/tex]

Thus, the equation of the line, in slope-intercept formula, is:

[tex]y = -x[/tex]

For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520

The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].

According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:

1) Determine the Slope of the line by the Slope Equation for Secant Lines.

2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.

3) Write the resulting Equation of the Line.

Step 1:

The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:

[tex]m = \frac{8-0}{-8-0}[/tex]

[tex]m = -1[/tex]

Step 2:

The equation of the line is Slope-Intercept Form is now represented:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - Intercept.

If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:

[tex]0 = -1\cdot (0) + b[/tex]

[tex]b = 0[/tex]

Step 3:

And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].

Related question: https://brainly.com/question/18894159

A 60 foot monument casts a 25-foot shadow How long is the shadow of a 4.5 tall person?
A) 1.875 feet (it’s this one)
B) 5.555 feet
C) 2456 feet
D) 13334 feet

Answers

Answer:

A

Step-by-step explanation:

Using similarities we have

(Actual size)/(Shadow length)=60/25=4.5/x

x=4.5*25/60=1.875

Answer:

A) 1.875 feet

Step-by-step explanation:

Which function shows a fabric with a price of $1.25 per square yard?

A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $1.25, $2.00, $2.75, $3.50.
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $0.25, $1.25, $2.25, $3.25.
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (5, 4) and ends (10, 8).
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (4, 5) and ends (8, 10).

Answers

Answer:

D

Step-by-step explanation:

Took the test

Brainliest pls

Answer:

D

Step-by-step explanation:

E 2020

A box contains 28 balls of which 7 are red, 7 are blue, 14 are green.
If a ball is drawn at random, find the probability that it is neither blue nor red.

Answers

Answer:

1 /4

Step-by-step explanation:

Given that :

Number of red = 7

Number of Blue = 7

Number of green = 14

Total number of balls = 28

Probability of picking a ball that is neither red nor green.

Probability = required outcome / Total possible outcomes

P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4

toán 9 nha mọi người

Answers

Answer:

Thamkhao

Step-by-step explanation:

HELPPP PLEASE!!!

Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.

Answers

Answers:

The expression is 12n

He reads 84 books in 7 months

==================================================

Explanation:

For 1 month, he has read 12*1 = 12 books

For 2 months, he has read 12*2 = 24 books

For 3 months, he has read 12*3 = 36 books

and so on

If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.

If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.

Salvador reads 12 books each months so for n months he reads 12n books. In 7 months, n=7, so he reads 12*7 which is 84 books

Help !

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown

a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
b. If a pencil is picked at random, what is the probability that the pencil
will be green?

c. If a pencil is picked at random, what is the probability that the pencil will be red?

d. If a pencil is picked at random, what is the probability that the pencil
will be brown?

e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?

Answers

Answer:

a. p(orange) = 5/14

b. p(green) = 3/14

c. p(red) = 1/7  

d. p(brown) = 2/7  

e. p(brown or red) = 3/7

Step-by-step explanation:

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.

p(color) = (number of pencils of that color)/(total number of pencils)

p(color) = (number of pencils of that color)/14

a. If a pencil is picked at random, what is the probability that the pencil

will be orange?

p(orange) = 5/14

b. If a pencil is picked at random, what is the probability that the pencil

will be green?

p(green) = 3/14

c. If a pencil is picked at random, what is the probability that the pencil will be red?

p(red) = 2/14 = 1/7

d. If a pencil is picked at random, what is the probability that the pencil

will be brown?

p(brown) = 4/14 = 2/7

e. If a pencil is picked at random, what is the probability that the pencil

will be brown or red?

brown: 4

red: 2

brown or red: 4 + 2

p(brown or red) = 6/14 = 3/7

Other Questions
Help me with this anyone The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction. An 85-year-old retired teacher comes to your office for evaluation of weakness. You obtain a complete history, perform a thorough physical examination, and order laboratory tests. You diagnose her with hyperthyroidism. Based on her age, which of the atypical symptoms of hyperthyroidism is more likely to be seen Explain Holdens confusion about his own assertiveness. 9)[{(-90) + (-5)}2-10].2 I need help ASAP please please due Monday show work TRUE OR FALSE?WHY?The goods that the enterprise wants or intends to add to its capital stock are inventories. Consider the first month's sales data for the Midwest region.Select the correct answer from each drop-down menu.1. 852. 153. 374. 181. Significantly different from 2. Relatively close to1. inconsistent2. consistent What is the key word in the sentence?When you make a mistake, don't be abashed.O MistakeO WhenO MakeAbashed What is the equation of the parabola shown in the graph? Tech A says that the PCM monitors the pre-cat and post-cat oxygen sensors to determine catalytic converter efficiency. Tech B says that a catalytic converter can be tested by graphing the oxygen sensor readings on a scan tool or lab scope and comparing them. Who is correct About a Month And A Half I Got A 10x & 25x Aquarium I Had 9 Fish And Betta Pebbles And In Less Than a Week 1 to 2 Fish Die A Day And I Believe Its The Betta Rocks Because The Rock Package Says Medicine For Bettas But Lethal To Fish, Bc There's Medicine In The Rocks That Affect The Water And It Helps Betta Fish But Lethal To Other Fishes.I Have 2 Turtles And Almost a Month There Living In Betta Rocks And There OK. Which reaction occurs at the cathode in an electrochemical cell?A. Cu(s) Cu2+(aq) + 2eB. Cu2+(aq) + H2(g) Cu(s) + 2H+(aq)C. Cu(s) + 2H+(aq) Cu2+(aq) + H2(g)D. Cu2+(aq) + 2e Cu(s) The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, 1)?A.4x 2y = 6B.y = 2x 5C.y = 3x + 4D.2x + y = 1 Quality cost information reports ______. Multiple select question. show managers if quality control costs are poorly distributed help identify the financial cost of defects give managers an idea of where to focus quality control efforts always identify lost sales from customer ill will Find the midpoint of AC. ) The C O bond dissociation energy in CO2 is 799 kJ/mol. The maximum wavelength of electromagnetic radiation required to rupture this bond is ________. In the picture below, which lines are lines of symmetry for the figure?A. only 2B. 1, 2, and 3C. 2 and 4D. 1 and 3 homeostasis is maintained through posterior pituitary endocrine hormones that act on the ______. Which of the following is not true about Triton, the large moon of Neptune? It is more reflective than Earth's Moon. It is larger than Earth's Moon. It is in a retrograde orbit. It has a thin atmosphere. It has nitrogen geysers. what is the anode material used in the extraction of aluminium by electrolysis and why it needs to be changed at interval