It took a cheetah 45 minutes to run from Jungle A to Jungle B.
Its average speed was 80 km/h. Find the distance between
the two jungles.

Answer:

x is 11

Step-by-step explanation:

[tex]{ \tt{10 + 5 + x = 26}} \\ x = 11[/tex]

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

please check the attachment for solutions

Answer:

Step-by-step explanation:

[tex]f(x)=\frac{x+9}{7-4x} \\put ~f(x)=y\\flip~x~and~y\\f(y)=x\\y=f^{-1}(x)\\y=\frac{x+9}{7-4x} \\flip~x~and~y\\x=\frac{y+9}{7-4y} \\x(7-4y)=y+9\\7x-4xy=y+9\\-4xy-y=9-7x\\or\\4xy+y=7x-9\\y(4x+1)=7x-9\\y=\frac{7x-9}{4x+1} \\or~f^{-1}(x)=\frac{7x-9}{4x+1}[/tex]

Answer:

the number of senors is 150

Step-by-step explanation:

call the number of seniors is a

we have number of juniors is 4/3a

number of sophomores is 3/2*4/3*a=2a

number of freshmen is also =2a

sum of all studens in that school = a+4/3a+4a=950

a=150

Answer:

34

Step-by-step explanation:

Angle XYZ is an inscribed angle and arc XZ is the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc

Hence Angle XYZ = half of arc XZ

If arc XZ = 68 then angle XYZ = half of 68

68/2=34

XYZ = 34

Answer:

1 1/4 cups I think..

Step-by-step explanation:

1/4 times 4 is 1, plus another 1/4 for the 5th friend is 1 1/4 cups.

Answer:

[tex]\frac{5}{4}[/tex] or [tex]1\frac{1}{4}[/tex] cups

Step-by-step explanation:

This question asks how much total sugar will be needed for 5 servings of 1/4 cup. In other words, this is asking for 1/4 cup to be added together 5 times. However, repeated addition is just multiplication, so this can become a multiplication problem. To do this make both terms a fraction by putting 5 over 1. This looks like: [tex]\frac{5}{1} *\frac{1}{4}[/tex]. Then, simply multiply the numerators together and the denominators together. This equals [tex]\frac{5}{4}[/tex]. If needed this can be put into the mixed fraction of [tex]1\frac{1}{4}[/tex] cups.

Answer:

Price elasticity of demand = 1

Step-by-step explanation:

Old quantity demanded = 200

New quantity demanded = 150

Old price = 8

New price = 10

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

percentage change in quantity demanded = change in quantity demand / old demand × 100

= 50/200 × 100

= 0.25 × 100

= 25%

percentage change in price = change in price / old price × 100

= 2/8 × 100

= 0.25 × 100

= 25%

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

= 25% / 25%

= 1

Price elasticity of demand = 1

Answer:

Last option, y > -3/2x+1

That's the answer you're looking for

Answer:

10/3, 39/12, 19/6, 75/24, 109/36

Step-by-step explanation:

Lets simplify:

10/3 = 3 1/3

39/12 = 3 3/12 = 3 1/4

19/6 = 3 1/6

75/24 = 3 3/24 = 3 1/8

109/36 = 3 1/36

Answer:

D). The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

Given that,

Height of the tower = 98 m

Distance traveled by plane = 83 m

The distance of the take-off point from the tower = 42m

This shows that it forms a right-angled triangle with

Base(B) = 42m

Hypotenuse(H) = 83m

To find,

The height of this triangle(x) = ?

Using Pythagoras theorem, we know that,

B^2 + x^2 = H^2

⇒ x^2 = H^2 - B^2

⇒ x^2 = (83)^2 - (42)^2

⇒ x^2 = 6889 - 1764

⇒ x = [tex]\sqrt{6889 - 1764}[/tex]

∵ x = 71.58 m

Thus, the height difference from the position of the plane to the tower = 98 - 71.58

= 26.42 m

Thus, option D i.e. 'the plane's height must be 27m above the tower' is the correct answer.

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

Answer:

I assume you'd already figured out the other questions so you just don't understand the question E

Step-by-step explanation:

The product of the first 2 numbers its stating is -28 and 48, and it's asking if the product (multiply -28 by 48 to get the product) is equal to the HCF and LCM you got in the previous answer.

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA

Answer:

5000

Step-by-step explanation:

Answer:

11.55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Side a is across from angle A, and side c is the hypotenuse. The trig ratio that utilizes the side opposite and the hypotenuse is the sin of an angle, namely:

[tex]sin(30)=\frac{28}{c}[/tex] and solving that for c:

[tex]c=\frac{28}{sin(30)}[/tex] so

c = 56

Answer:

B and C

Step-by-step explanation:

A = 192

B = (563 - 200) + 8 = 371

C = 571 - 200 = 371

Answer:

1) x= -7/5  

Step-by-step explanation:

−5x-7=0

-5x=7

x=-7/5

Answer:

D

Step-by-step explanation:

To find the zero let y = 0 , that is

- 5x - 7 = 0 ( add 7 to both sides )

- 5x = 7 ( divide both sides by - 5 )

x = [tex]\frac{7}{-5}[/tex] = - [tex]\frac{7}{5}[/tex] → D

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

x = 0

Answer: 0

Step-by-step explanation:

Answer:

[tex] { - 2x}^{2} - {8x}^{3} + 6x \\ {x }^{2} - {8x}^{3} + 6x[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

scale factor= /2

Step-by-step explanation:

The scale factor is 1/2, which is equivalent to 0.5

Answer:

763 feet

Step-by-step explanation:

Volume of cylinder  = πr2h

π(18/2)^2 x 3

= 763 feet

Answered by Gauthmath

Answer:

120.40 per payment

Step-by-step explanation:

Subtract the down payment

642 - 160.40

481.60

Divide this by 4

481.60 / 4

120.40

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

Step-by-step explanation:

5r + 10 = 65

5r =65 - 10

r = 55/5

r = 11

Answer:

r=11

Step-by-step explanation:

you first have to work with the brackets and then group the like terms

5(r+2)=8+57

5r+10=65

5r/5=65-10

5r/5=55/5

r=11

I hope this helps

Answer: B

Step-by-step explanation:

The transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle ABC has undergone a transformation to form A'B'C' we need to identify the steps of transformation

So, considering the point B and B', we see, that, x-coordinate of B is at 5 and that of B' is at 1, that mean there is a shift of 4 units left,

Now, consider the y-coordinate, we see, that B is at 9 and B' is at 7 that gives a downward shifting of 2 units.

Hence, the transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

Learn more about transformation click;

https://brainly.com/question/11709244

#SPJ7

Answer:

A

Step-by-step explanation:

(f(-3+h)-f(-3))/h=(5(-3+h)^2-5(-3)^2)/h=(5*(-3+h-3)(-3+h+3))/h=-30*h/h=-30

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²