Answer:
Step-by-step explanation:
1. x^2-x-20=3x-15
x=5, x=1 substitute
y=3*5-15 = 0
y=3*(-1)-15 = -18
Solution: (5,0) & (-1,-18)
2. x^2+2x+3=x+5
x=-2, x=1 substitute
y= -2+5 = 3
y=1+5 = 6
Solution: (-2,3) & (1,6)
A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground feet from the base of the building. How high up the wall does the ladder reach?
Answer:
15 feet..
taking base as 8m
Given: ladder = 17 m and base = 8 m
The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.
Let’s say you did not know that this was a standard 8–15–17 right triangle.
This is how you can figure it out:
hypotenuse(h)22 = side2112 + side2222
Let side11 = base and side22 = wall
1722 = 822 + wall22
wall = 172−82−−−−−−−√172−82
wall = 289−64−−−−−−−√289−64
wall = 225−−−√225
wall = 15 feet
Height of wall is 15 feet
Given:
Length of ladder = 17 feet
Base distance from ladder = 8 feet (Missing information)
Find:
Height of wall
Computation:
Length of ladder = hypotenuse
Base distance from ladder = Base
Height of wall = Perpendicular
Using Pythagorean theorem
[tex]Perpendicular = \sqrt{Hypotenuse^2 - Base^2}[/tex]
By putting values
[tex]Perpendicular = \sqrt{17^2 - 8^2}[/tex]
[tex]Perpendicular = \sqrt{289 - 64} \\\\Perpendicular = \sqrt{225} \\\\Perpendicular = 15[/tex]
Height of wall = 15 feet
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30 pts Answer as many as u can plz Math is fun in its own way but i'm tired and...ya
-A hoodie is on sale for $48. This sale price is 80% of the original price. What was the original price of the hoodie?
-Chris and Alex scored 46% of their team's points in last week's soccer game. The team scored a total of 50 points. How many points did Chris and Alex score?
-Penelope has $3.00 in her wallet. This is 20% of her allowance. What amount is her allowance?
-The PE classes collected canned food for a food drive last Thanksgiving. The goal was to collect 600 cans. They collected 1800 cans. What percent of their goal did they reach?
Chose the fraction that represents 20/24 in lowest terms
5/6
4/5
1/3
10/12
Answer:
5/6To reduce this fraction, simply divide the numerator and denominator by 4 (the GCF). So, 20/24 = 20÷4/24÷4 = 5/6. Thus, 2024 is equivalent to 5/6 in the reduced form.
Step-by-step explanation:
Hope it is helpful...
What kind of sequence is this? –41, –51, –61, –71
Answer:
Arithmetic
Step-by-step explanation:
Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?
Answer:
Age of Mark [tex]=10[/tex] years
Age of Mark's dad [tex]=30[/tex] years
Age of Mark's sister [tex]=8[/tex] years
Step-by-step explanation:
Let age of Mark be [tex]x[/tex] years.
Mark's dad is three times older than Mark
Age of her Mark's dad [tex]=3x[/tex]
Mark's sister is 2 years younger than Mark
Age of Mark's sister [tex]=(x-2)[/tex] years
The sum of their ages is 48.
[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]
Age of Mark [tex]=x=10[/tex] years
Age of Mark's dad [tex]=3x=3(10)=30[/tex] years
Age of Mark's sister [tex]=x-2=10-2=8[/tex] years
what is the answer to this question
Answer:
the height is 4
Step-by-step explanation:
it is a right triangle and also a perfect 3-4-5 right triangle
[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]
[tex]9 + {h}^{2} \: eqauls \: 25[/tex]
subtract 9 from 25
[tex] {h}^{2} \: equals \: 16[/tex]
then you square root 16
[tex] \sqrt{16} [/tex]
and now you height is 4
Help me on this pleaseee
2(x + 5) = 30 what does x equal?
Answer:
x = 10
Step-by-step explanation:
(2x10) + (2x5) = 30
Answer:
10
Step-by-step explanation:
2(x+5)=30
30÷2=15
15-5=10
x=10
Plot the point, (−1,−1.5).
Select the point tool. Then, click on the graph to plot the point.
Answer:
hope this helps
Step-by-step explanation:
Mai gave half of her brownies, and then half a brownie more, to Kiran. Then she gave half of what was left,
and half a brownie more, to Tyler. That left her with one remaining brownie.
Can someone please help me with this problem, I really need help.
Answer:
x = 7
Step-by-step explanation:
all we know is that she had 1 brownie at the end, in the end she gave half her brownie to tyler, so add one who will get 1 1/2, before that she split her brownies between her friends, so multiply 1 1/2 by 2 and you will get 3, before that she gave 1/2 a brownie to Kiran, so we would add 1/2 to 3 and get 3 1/2, before that she first split it in half for a her friends, so at last, multiply 3 1/2 by 2 and you will geet 7 as your final answer.
The answer would be 7!
You would take 1 and add 1/2 to it
= 1 1/2
Then, multiply by 2
= 3
Then add 1/2 to that
= 3 1/2
Then multiply 2 one more time
= 7
This is because Mai gave half of her brownie and then half more of her brownie to each person she gave it to
So you would add 1 + 1/2 and then multiply by 2
Since she did this to 2 people you would repeat one more time!
Hope this helped!
Which of the following numbers is to the right of 6 on a number line? Select all the apply
Answer:
[tex]\sqrt{47}[/tex] [tex]\sqrt{91}[/tex]
Step-by-step explanation:
The first two are too small to be greater than 6 so those are out.
Any answer with a negative is before 0, so you could rule those out
You are now left with sqrt(47) and sqrt(91)
4. if f (x) = 2x2 – 32, what is the value of f (5)?
Step-by-step explanation:
f(x)=2×2-32
f(5)=252-32
f(5)=220
IM EAT SOMETHING
Try to guess what im eating (you have 3 tries)
sour but a little sweet
DARK red
LOTS of seed
wish you luck
Answer:
Raspberry?
Step-by-step explanation:
Did I get it???
Hope you have a great day! :)
I think the answer is a pomegranate...
PLEASE HELP WILL MARK BRAINLIEST PLZ PLZ PLEASE!!
Answer:
1) C
2) B
3) A,B, and C
4) C
5) B
6) C
Step-by-step explanation:
Answer:
1. C
2. B
3. A, B, C
4. C
5. B
6. C
Step-by-step explanation:
1. You can remember the name by just looking at their positions- they alternate and they're on the exterior
2. They are supplementary meaning they add to 180°, set the angle measures up to 180 and solve for x!
76 + 2x = 180
2x = 104
x = 52
3. Equilateral trinagles have these qualities
4. Those hashes on the sides of the triangles signify those sides are the same length- that means the angles opposite of those sides share the same angle measure. If you know two angles are 35, and the last angle is 2x, you can set up an equation:
35 + 35+ 2x = 180
70 + 2x = 180
2x = 110
x = 55
5. That square means a right angle which equals 90°, like question 4, you set up an equation!
90 + 5x + 5x = 180
90 + 10x = 180
10x = 90
x = 9
6. Set up a proportion.
12 : 30 // 12(x) = 30, x = 2.5
8 : y // 8(2.5) = y, y = 20
Pls helpppp I need the answer asap
Answer:
CASH = 7284
Step-by-step explanation:
MATHEMATICS = 12345123678
CASH = ?
Find what number the letters represent:
M = 1
A = 2
T = 3
H = 4
E = 5
I = 6
C = 7
S = 8
Then, replace the numbers in the word CASH:
C = 7
A = 2
S = 8
H = 4
Therefore, the number is 7284.
Hope this helps and please mark Brainliest :)
Find the value of x in the diagram below.
A. 3
B. 5
C. 8
D. 11
Answer:
Step-by-step explanation:
I forgot the name of the theorem, but I believe its called alternate interior; I took geometry 4 years ago. This means those two angle are exactly equal to each other
100 = 13x - 4
104 = 13x
x = 8
Complete the table below to find solutions to the linear equation y=5x−5.
Use parentheses when entering ordered pairs and do not enter spaces between numbers
The solution to the equation y = 5x - 5 is given by the ordered pairs
( 0 , -5 ) , ( 1 , 0 ) , ( 2 , 5 ) , ( 3 , 10 ) , ( 4 , 15 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = 5x - 5 be equation (1)
On simplifying the equation , we get
Substitute the value of x = 0 in the equation , we get
y = 5 ( 0 ) - 5
y = 0 - 5
y = -5
So , the ordered pair is ( 0 , -5 )
Substitute the value of x = 1 in the equation , we get
y = 5 ( 1 ) - 5
y = 5 - 5
y = 0
So , the ordered pair is ( 1 , 0 )
Substitute the value of x = 2 in the equation , we get
y = 5 ( 2) - 5
y = 10 - 5
y = 5
So , the ordered pair is ( 2 , 5 )
Substitute the value of x = 3 in the equation , we get
y = 5 ( 3 ) - 5
y = 15 - 5
y = 10
So , the ordered pair is ( 3 , 10 )
Substitute the value of x = 4 in the equation , we get
y = 5 ( 4 ) - 5
y = 20 - 5
y = 15
So , the ordered pair is ( 4 , 15 )
Hence , the equations are solved
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If x = 0, then tan-Ir is
Answer:
If x<0 then tan-1(1x) equals. check-circle. Answer. Step by step solution by experts to help you in doubt clearance & scoring excellent
Two planes travel at a constant speed. Plane A travels 2,800 miles in 5 hours. Plane B travels 3,885 miles in 7 hours.
1. Which plane is faster?
Answer: First.
Step-by-step explanation:
Let's find the speed of the first airplane:
2800 ÷ 5 = 560 (miles per hour)
Let's find the speed of the second plane:
3885 ÷ 7 = 555 (miles per hour)
Thus, the first plane flies faster than the second.
Helpppppp ill mark as brainliest!!!
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface areas and Volume.
Since Box A is cube, it's volume is Side^3
hence taking the cube root of 512 , we get as,
Side length of Box A is 8 m.
hence diving 8/2 = 4 m
4 m is a side of Box B.
hence, Volume of Box B is = (4)^3 = 64 cubic metres.
Vol. Box B = 64 m^3
Answer:
The correct answer is D: 64 meters cubed
Step-by-step explanation:
You can take any example but let's say 128 times 2 times 2 which equals box A, now you must divide all dimensions by 2 and you will get 64 times 1 times 1 which adds up to 64, this will work with any example.
Use the formula C= dxd
Pix diameter = Circumference
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters.
Which measurement is closest to the circumference of the circle in meters?
A 34.54 m
B 1,519.76 m
C 379.94 m
D 69.08 m
Answer:
69.08m
Step-by-step explanation:
Circumference of a circle = πd where
d is the diameter of the circle
Given
diameter = 22metres
circumference of the circle = 3.14(22)
circumference of the circle = 69.08m
Hence the circumference of the circle is 69.08m
Answer:
d i think sorry if im wronge
Step-by-step explanation:
The maximum size of a text message is 160 characters.
A space counts as one character.
a. Write an equation in two variables that represents the
remaining (unused) characters in a text message as you type.
b. Identify the independent and dependent variables.
c. How many characters remain in the message shown?
Sorry its so long, made it a bunch of points
Answer:
a
Step-by-step explanation:
Answer:I have same problem
Step-by-step explanation:
i need answers quick!!!
2x+2y
-6b-15
10c-25
Question 6: How many miles are there in 4 kilometers?Hint: 1 km 0.6 mi
Round your answer to the nearest tenth.
O 24
O 2.4
2.40
24.0
Answer:
B
Step-by-step explanation:
C would also be the correct answer but its not rounded to the nearest tenth.
(2,8) and (1,3)
What is the equation of the line
Answer:
y=5x-2
Step-by-step explanation:
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$
Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.
What is percentage?Percentage is a "number or ratio that can be expressed as a fraction of 100".
According to the question,
An employee earned $860 over the past years. The employee needs to pay 14% for income tax and 3% for state income tax
Find an employee needs to pay in Federal income tax:
[tex]\frac{14}{100}[/tex] × 860 = 120.4
Find an employee need to pay in State income tax:
[tex]\frac{3}{100}[/tex] × 860 = 25.8
In order to find an employee earn after paying both taxes only if we sum the amount of taxes paid by an employee and subtract from earned amount by past years.
860 - (120.4 + 25.8) =713.8
Hence, Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.
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The image shows a geographic zone in Africa.
Which geographical zone is pictured in the image?
0 desert
0 forest
0 savanna
0
woodlands
Answer:
Savanna
Step-by-step explanation:
:) good luck on the test!
The Answer would be "C" Savanna
Image of the related Question
Find a cubic function with the given zeros.
3, -4, 7 (5 points)
f(x) = x3 - 6x2 - 19x + 84
f(x) = x3 - 6x2 - 19x - 84
f(x) = x3 + 6x2 - 19x + 84
f(x) = x3 - 6x2 + 19x + 84
Step-by-step explanation: its a+b which equals 182
Find the measure of the missing angle.
56
Answer:
34 degrees
Step-by-step explanation:
angles on a straight line add up to 180 degrees so over here the middle angle as we can see is 90 degrees so we add that to the 56 degrees. From adding them we get 146. 180 -146 is 34 degrees and that is our answer. :)
What is the length of segment AB?
12!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!