All categories

3 years ago

Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

Answer:

The inequality is $8x+17\geq 137$

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base $b=4x+3$ and sides $s=2x+7$

The perimeter of Isosceles triangle is $P=2s+b$

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

$2(2x+7)+(4x+3)\geq 137$

$4x+14+4x+3\geq 137$

$8x+17\geq 137$

You might be interested in

Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu

MAXImum [283]

Answer:

(A)The height of each pyramid is One-half h units.

Step-by-step explanation:

Height of the Cube = h units

Volume of the Cube $=h^3 $ cubic units$

If Base of the cube =Base of the square pyramid

Base of the square pyramid = h units

$\text{Volume of a Pyramid}=\dfrac{1}{3}*Base Area*Height$

$\text{Volume of One Pyramid}=\dfrac{1}{3}*h^2*Height$

$\text{Volume of Six Pyramids}=6*\dfrac{1}{3}*h^2*Height\\=(2h^2*Height)\:cubic\:units$

Since Volume of the Cube = Volume of Six Square Pyramids

Then:

$2h^2*Height=h^3\\Height=\dfrac{h^3}{2h^2} \\$Height of each pyramid =\dfrac{1}{2}h \:Units$

5 0

3 years ago

Read 2 more answers

A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the r

dusya [7]

Step-by-step explanation:

$\text{Circumference:}\\\\C=2\pi r\\\\\text{Area:}\\\\A=\pi r^2\\\\\dfrac{A}{C}=\dfrac{\pi r^2}{2\pi r}\qquad\text{cancel}\ \pi\ \text{and}\ r\\\\\dfrac{A}{C}=\dfrac{r}{2}\\\\\bold{The\ number\ of\ areas\ of\ a\ circle\ is}\ \dfrac{r}{2}\ \bold{larger\ than\ its\ circumference}.$

$\text{For a given area and circumference}:\\\\A=153.86,\ C=43.96,\ r=7\\\\\dfrac{A}{C}=\dfrac{153.86}{43.96}=3.5=\dfrac{7}{2}=\dfrac{r}{2}\\\\\dfrac{A}{C}=\dfrac{r}{2}$

4 0

3 years ago

Which two values of x are roots of the polynomial below? x2 + 3x - 5

lesya692 [45]

Answer:

Step-by-step explanation:

The roots are the values of x for which x² + 3x - 5 = 0.

Quadratic formula:

x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2

3 0

3 years ago

A local hamburger shop sold a combined total of 763 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburgers s

Airida [17]

In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday

6 0

3 years ago

HELP A CHICKEN NUGGET OUT!

laiz [17]

-129/13

Find x then subtract 9

Mark brainliest please

3 0

2 years ago

Read 2 more answers