All categories

3 years ago

A triangle has sides represented by 7, x, and x−1. If the perimeter is 28, find the length of the longest side.

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

x (11 unit) is the longest side

Step-by-step explanation:

Given:

Sides;

7, x, and x−1

Perimeter = 28

Find:

Longest side

Computation:

Perimeter = sum of all sides

So,

7 + x + (x -1) = 28

2x + 6 = 28

x = 11

So,

x -1 = 11 - 1 = 10 unit

x (11 unit) is the longest side

You might be interested in

What fractions are equal to two thirds?

Arte-miy333 [17]

Two thirds can equal: 4/6, 6/9, 8/12, 10/15, etc.

7 0

3 years ago

Several years ago, 43% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Ne4ueva [31]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set of hypothesis :

$H_0: p=0.43\\\\ H_a:p\neq0.43$

Confidence interval for population proportion is given by :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where

n= sample size

$\hat{p}$ = sample proportion

and $z_c$ is the two-tailed z-value for confidence level (c).

As per given ,

Sample size of parents : n= 1085

Number of parents indicated that they were satisfied= 466

Sample proportion : $\hat{p}=\dfrac{466}{1085}\approx0.429$

Critical value for 90% confidence interval : $z_c=1.645$ ( by z-value table)

Now, the 90% confidence interval :

$0.429\pm (1.645)\sqrt{\dfrac{0.429(1-0.429)}{1085}}\\\\=0.429\pm 0.0247\\\\=(0.429-0.0247,\ 0.429+0.0247)\\\\=(0.4043,\ 0.4537)$

Thus , the 90% confidence interval: (0.4043, 0.4537).

Since 0.43 lies in 90% confidence interval , it means we do not have enough evidence to reject the null hypothesis .

i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.

3 0

3 years ago

If a =6 and b=8 and c=10 how do you solve using A2+b2=c2 A(square)+b(square)=c(square)

Korvikt [17]

The answer I think is 12+16=20

5 0

3 years ago

Read 2 more answers

The net below shows the dimensions of a triangular pyramid with equilateral base. The height of each triangle is 7.2 and the bas

Doss [256]

Answer:

25.98units³

Step-by-step explanation:

Area of the triangular prism = Base Area * Height of the pyramid

A = BH/3

Get the area of the triangle

Area of the triangle = 1/2 Base * height

Base of the triangle = 5

height = √5²-2.5²

h = √25-6.25

h = √18.75

h = 4.33

Area of the triangle = 1/2 * 4.33 * 5

Area of the triangle = 10.82

Base area = 10.82

Get the area of the triangular pyramid

Area of the triangular pyramid = 10.82*7.2/3

Area of the triangular pyramid = 25.98units³

Hence the area triangular pyramid is 25.98units³

6 0

3 years ago

First one to answer receives 100 points and brainiest!

larisa [96]

Answer and Step-by-step explanation:

116 b.

$2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24$

1280 × 24 = 30720

30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.

116 c.

$16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72$

3584 × 72 = 258048

258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.

116 d.

$125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24$

16250 × 24 = 390000

390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.

#teamtrees #PAW (Plant And Water)

4 0

3 years ago