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3 years ago

What is the equation for this problem and the answer? Please help!!!

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

Answer:

shortest side=30 cm

longest side=40 cm

Step-by-step explanation:

shortest sides=x

longest side=x+10

perimeter=2x+x+10

100=3x+10

90=3x

30=x

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Which expression is equal to 5/(sqrt)11?

horrorfan [7]

Answer:

Option A is correct

the expression is equal to $\frac{5}{ \sqrt{11}}$ is $\frac{5\sqrt{11}} {11}$

Explanation:

Given expression is, $\frac{5}{ \sqrt{11}}$

Multiply and divide by the denominator by $\sqrt{11}$ in the given expression, we have,

$\frac{5}{\sqrt{11}} \times \frac{\sqrt{11}} { \sqrt{11}}$

$\frac{5 \cdot \sqrt{11}} {\sqrt{11} \cdot \sqrt{11}}$

use : $\sqrt{a}\cdot\sqrt{a}=(\sqrt{a} )^2 = a$

then;

$\frac{5\sqrt{11}} { (\sqrt{11})^2} =\frac{5\sqrt{11}} {11}$

Therefore, the expression is equal to $\frac{5}{ \sqrt{11}}$ is, $\frac{5\sqrt{11}} {11}$

8 0

3 years ago

Read 2 more answers

A bus covers a certain distanc in 45 minutes if it runs at a Speed of 60km/hr. What must be the speed of the bus in order to red

Ket [755]

2.66 is the speed

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8 0

1 year ago

Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q repres

goldfiish [28.3K]

Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

n + d + q = 30

n = q + 5

n = 12

d = 11

q = 7

8 0

2 years ago

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

$A\approx 22.6$

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0

2 years ago

Solve the equation for x by graphing -2x + 3 = -3(-x) - 2

adoni [48]

Answer:

x = 1

Step-by-step explanation:

There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.

Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.

(-2x +3) -(-3(-x) -2) = 0

A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...

-5x +5 = 0

So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.

6 0

2 years ago