All categories

3 years ago

There are 7 green apples and 6 red apples in a basket

1 answer:

8 0

Red apples to all apples:

There are 6 red apples and 13 apples total, so the ratio it 6:13

Green Apples to All Apples:

There are 7 green apples and 13 apples total, so the ratio is 7:13.

You might be interested in

Graph function y=x+1

fiasKO [112]

Answer:

Are u asking to graph a point(s)?

Step-by-step explanation:

Ok I have the answer

3 0

3 years ago

State the Angle Relationship & Find the measure of the indicated angle that makes lines u and v parallel.

san4es73 [151]

Answer:

the indicated angle should be 121°

Step-by-step explanation:

If 2 lines are parallel to each other & a transversal intersects both of them , the corresponding angles on a same side are equal.

If the indicated angle will be equal to the given angle , they will be known as corresponding angles only when v || u.

So the indicated angle is 121°

8 0

3 years ago

The interior of a regular polygon is 5 times the exterior angle

densk [106]

Step-by-step explanation:

The interior angle of a polygon is given by

$\frac{(n - 2) \times 180}{n}$

The exterior angle of a polygon is given by

$\frac{360}{n}$

where n is the number of sides of the polygon

The statement

The interior of a regular polygon is 5 times the exterior angle is written as

$\frac{(n - 2) \times 180}{n} = 5( \frac{360}{n} )$

Solve the equation

That's

$\frac{180n - 360}{n} = \frac{1800}{n}$

Since the denominators are the same we can equate the numerators

That's

180n - 360 = 1800

180n = 1800 + 360

180n = 2160

Divide both sides by 180

The interior angle of the polygon is

$\frac{(12 - 2) \times 180}{12} = \frac{10 \times 180}{12} \\ = \frac{1800}{12}$

The answer is

Interior angle + exterior angle = 180

From the question

Interior angle = 150°

So the exterior angle is

Exterior angle = 180 - 150

We have the answer as

The polygon has 12 sides

The name of the polygon is

<h2>Dodecagon</h2>

Hope this helps you.

6 0

3 years ago

Suppose c is inversely proportional to the square of d. If c=6 when d=3⁢, find the constant of proportionality and write the for

NemiM [27]

Answer:

The constant of proportionality is 54.

k = 54

c as a function of d:

$c(d) = \dfrac{54}{d^2}$

$c(7) = \dfrac{54}{49}$

Step-by-step explanation:

We are given the following in the question:

c is inversely proportional to the square of d.

$\Rightarrow c\propto \dfrac{1}{d^2}\\\\\Rightarrow c = \dfrac{k}{d^2}\\\\\text{where k is constant of proportionality}$

When c = 6, d = 3.

Plugging the values, we get,

$6 = \dfrac{k}{3^2}\\\\\Rightarrow k = 6\times 3^2 = 54$

Thus, the constant of proportionality is 54.

c as a function of d can be written as:

$c(d) = \dfrac{54}{d^2}$

We have to find value of c when d = 7.

Putting values, we get,

$c(7) = \dfrac{54}{(7)^2}=\dfrac{54}{49}$

is the required value of c.

4 0

3 years ago

The area of rectangle ABCD is 72 square inches. A diagonal of rectangle ABCD is 12 inches and the diagonal of rectangle EFGH is

luda_lava [24]

Answer:

The area of rectangle EFGH is $242\ in^{2}$

Step-by-step explanation:

For this problem I assume that rectangle ABCD and rectangle EFGH are similar

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Let

z ------> the scale factor

The scale factor is the ratio between the diagonals of rectangles

$z=\frac{22}{12}=\frac{11}{6}$

step 2

Find the area of rectangle EFGH

we know that

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

Let

z------> the scale factor

x -----> area of rectangle EFGH

y ----> area of rectangle ABCD

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

we have

$z=\frac{11}{6}$

$y=72\ in^{2}$

substitute and solve for x

$(\frac{11}{6})^{2}=\frac{x}{72}$

$\frac{121}{36}=\frac{x}{72}$

$x=\frac{121}{36}(72)$

$x=242\ in^{2}$

4 0

3 years ago