CE and FI are parallel, give reasons to prove that DGH is isosceles

Liza needs a total of 22.23 square feet of cloth to make a bag and a towel the bag requires 5.13 square feet of cloth the height

Troyanec [42]

Answer:

5.7 feet

Step-by-step explanation:

Total cloth area recquired to make a bag and a towel is 22.23 square feet

Given the area of the cloth recquired to make the bag is 5.13 square feet.

The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet

given the height of the towel = 3 feet

let the length of the towel be x

We know that $area = length\times height$

area=3x

$3x=17.1\\x=5.7$

therefore the length of the towel is 5.7 feet

6 0

2 years ago

45x^4 + 72x^3 is factored form

Rudik [331]

Answer: 9 x 3 ( 5 x + 8 )

Step-by-step explanation:

Factor 9 x 3 out of 45 x 4 + 72x 3 .

4 0

2 years ago

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students’ attitudes toward school and stud

sineoko [7]

Answer:

The conditions for carrying out a significance test are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

Step-by-step explanation:

SRS means simple random sample; it is a sampling technique in which individuals can be chosen from the population in such a way that every individual stands an equal chance to be selected as the sample.

The conditions needed or required to carry out a significance test of the teacher's suspicion are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population

7 0

3 years ago

Read 2 more answers

Solve the following system by graphing x + y - 6= 0 x- y = 0

DochEvi [55]

Answer:

(3,3)

Step-by-step explanation:

x + y - 6= 0

x- y = 0

Add the two equations together

x + y - 6= 0

x- y = 0

-------------------

2x - 6 = 0

Add 6 to each side

2x-6+6 = 0

2x = 6

Divide by 2

2x/2 = 6/2

x = 3

Now find y

x-y = 0

3 - y = 0

y = 3

7 0

3 years ago

Read 2 more answers

A rectangle swimming pool is 8 feet deep. One side of the pool is 4.5 times longer than the other. The amount of water needed fo

wel

The side lengths of the pool 10 ft and 45 ft.

<u>SOLUTION: </u>

Given, a rectangle swimming pool is 8 feet deep.

One side of the pool is 4.5 times longer than the other.

Let the length of pool be n feet, the width will be 4.5n feet

The amount of water needed for the swimming pool is 3600 cubic ft

We have to find the dimensions of the pool. Now, we know that,

$\begin{array}{l}{\text {volume of pool}=\text {depth} \times \text {length } \times \text {width}} \\\\ {\rightarrow 3600 \text { cubic } f t=8 \text { feet } \times \text { n feet } \times(4.5 n) \text { feet }} \\\\ {\rightarrow 8 n \times 4.5 n=3600} \\\\ {\rightarrow 36 n^{2}=3600} \\\\ {\rightarrow n^{2}=100}\end{array}$

On taking square root on both sides we get,

$\begin{array}{l}{\rightarrow\sqrt{n^{2}}=\sqrt{100}} \\\\ {\rightarrow n=10 \mathrm{ft}}\end{array}$

So, the width will be $4.5 n=4.5 \times 10=45 \mathrm{ft}$

5 0

3 years ago