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3 years ago

Pleaseeee help :( this is due today (will give brainliest if explained)

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

Answer:

y= -16(t-3)²+151

maximum, 151

Step-by-step explanation:

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8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest

kolbaska11 [484]

Answer:

$3,726\ m^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

$z=\frac{x}{y}$

we have

$x=64\ m$

$y=12\ m$

substitute

$z=\frac{64}{12}$

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

$z^{2}=\frac{x}{y}$

we have

$z=\frac{64}{12}$

$y=131\ m^{2}$

substitute

$(\frac{64}{12})^{2}=\frac{x}{131}$

$x=(\frac{4,096}{144})(131)$

$x=3,726\ m^{2}$

5 0

3 years ago

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many h

tester [92]

Answer:

6 hours

Step-by-step explanation:

We can use ratios to solve

10 hours x hours

-------------- = -------------

15 logs 9 logs

Using cross products

90 = 15x

Divide by 15

90/15 = 15x/15

6 = x

6 hours

7 0

3 years ago

Read 2 more answers

How do you know that the sum of 7-1g and 7-2 is rational?

user100 [1]

The sum of 7-1 and 7-2 will be a rational number because sum of rational numbers is a rational numbers.

A rational number is a number which can be written in p/q form where q≠0.

We know that when two rational numbers is added then the sum is also a rational number. And when two rational numbers are subtracted then the difference is also a rational number.

So in the given question, lets study the term differently that is,

i) 7 - 1 is a rational number because their difference is equal to 6 and it can be written in p/q form which is 6/1.

ii) 7 – 2 is also a rational number as their difference will be 5 which is a rational and can be written in p/q form which is 5/1.

So when these two rational numbers are added their sum will also be a rational number which is 11.

Learn more about rational numbers here : brainly.com/question/12088221

#SPJ9

5 0

2 years ago

The diameter of a sphere is measured to be 4.17 in.

gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

We can find the radius using the formula

$radius = \frac{diameter}{2}$

From the question

diameter = 10.59 cm

So we have

$radius = \frac{10.59}{2}$

<h3>radius = 5.30 cm</h3>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

Volume of a sphere is given by

$\frac{4}{3} \pi {r}^{3}$

r = 5.30

The volume of the sphere is

$\frac{4}{3} ( {5.30})^{3} \pi$

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0

4 years ago

the ratio of strawberry to banana batter is 2:3. we need 30 cups of batter total. what percent of the cake batter is banana

Dovator [93]

You first do 3 + 2, which would equal 5. Then, you would just do 3/5.

3 0

3 years ago