All categories

3 years ago

A triangle has sides measuring 2 inches and 7 inches. If x represents the

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

Answer:

5<x<9.

Step-by-step explanation:

The third side can not be bigger than the sum of the other two sides, hence the less than 9. But it also has to add to 2 to be bigger than 7, so it has to be greater than 5.

You might be interested in

The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice

Svetach [21]

Answer:

The radius of the circles are $4\ m$ and $8\ m$

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

$\pi x^{2} +\pi y^{2}=80\pi$

$x^{2} +y^{2}=80$ -----> equation A

Remember that

$x=2y$ -----> equation B

substitute equation B in equation A and solve for y

$(2y)^{2} +y^{2}=80$

$4y^{2} +y^{2}=80$

$5y^{2}=80$

$y^{2}=16$

$y=4\ m$

Find the value of x

$x=2y$

$x=2(4)=8\ m$

therefore

The radius of the circles are $4\ m$ and $8\ m$

4 0

3 years ago

Segment AB has endpoints on the coordinate grid where A is (- 18, 5) and B is (- 4, 5) Point Z is located exactly 1/8 of the dis

fenix001 [56]

Given:

Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).

Point Z is located exactly 1/8 of the distance from A to B.

To find:

The value of the x-coordinate of point Z.

Solution:

Point Z is located exactly 1/8 of the distance from A to B.

AZ:AB=1:8

AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7

It means point Z divided segment AB in 1:7.

Using section formula, the x coordinate of point Z is

$x-coordinate=\dfrac{mx_2+nx_1}{m+n}$

$x-coordinate=\dfrac{1(-4)+7(-18)}{1+7}$

$x-coordinate=\dfrac{-4-126}{8}$

$x-coordinate=\dfrac{-130}{8}$

$x-coordinate=-16.25$

Therefore, the required x-coordinate of point Z is -16.25.

3 0

3 years ago

Esmerelda bought a bag of jelly beans. There were 24 green jelly beans, which made up 8%, percent of all the jelly beans in the

Margarita [4]

So, let's look at the problem once again.

8%, or 8/100 of the bag were green jelly beans.

Let's see what we can do to find out a number of other jelly beans, not including the green ones.

We know that 92% of jelly-beans are not green.

92% is 11.5 times more than 8%
(92/8)

24 (or 8%) times 11.5 = 276

276 - number of jelly beans that are not green.

276 plus 24 = 300.

Answer: 300 jelly beans were in one bag.

6 0

3 years ago

-2x+6<4 or 7x+1<-13 what is the answer

Juliette [100K]

I guess x<1 and x<-2

7 0

3 years ago

Read 2 more answers

Write the slope-intercept form of an equation that passes

Hunter-Best [27]

Answer:

$y = \frac{4}{3}x-5$

Step-by-step explanation:

As the line is perpendicular to $y=-\frac{3}{4} x + 2$ , we know that the slope of the line is $\frac{4}{3}$ . As it passes through $(3, - 1)$ , we know that it should be $y = \frac{4}{3}x-5$ .

4 0

3 years ago