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kotykmax [81]
3 years ago
13

Which proportion can you use to find the value of a?

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

\frac{18}{a}=\frac{a}{16}

Thus, the proportion used to find the value of a is \frac{18}{a}=\frac{a}{16}

Hence, Option D is the correct answer.

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Plz answer if u can :P
Sedaia [141]

Answer:

d

Step-by-step explanation:

sqaure root of both times each other gives 5

8 0
2 years ago
Read 2 more answers
The gym teacher keeps 15 wooden bats and 9 metal bats in the equipment room. Of a student chooses a bat at random, what is the p
lbvjy [14]
1.Add the metal and wooden bats together
15+9=24
2. Create fraction
9/24
3.turn into a decimal by dividing numerator(top number) by denominator(bottom number).
9/24=0.375
4.multiply by 100 to get percentage
0.375*100=37.5

Therefore there is a 37.5 chance that he picks a metal bat
8 0
3 years ago
Mr. Harrison spent about $3600 on plane tickets for a family vacation. If each plane ticket cost $585, what is the largest numbe
Zepler [3.9K]

Answer:

6 tickets

Step-by-step explanation:

Amount spent by Mr Harrison on plane tickets = $3600

Cost of each ticket = $585

Thus, largest number of tickets purchased is;

n = 3600/585

n = 6.15

Approximating to the nearest whole number gives 6 tickets

3 0
2 years ago
A baby weighs 8lbs 10oz if her weight doubles in 6 months how much will she weigh in 6 months
Lostsunrise [7]
17 lbs and 4 oz. Because it is just doubling.
8 0
3 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

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

29.1                    0.1702

28.5                  1.0252

28.8                  0.5077

29.4                   0.0127

29.8                  0.0827

29.8                  0.0827

30.1                   0.3452

30.6                   1.1827

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

236.1                 3.4088

Mean = 236.1 / 8 = 29.51

S_{x}=\sqrt{3.4088/(8-1)}=0.6978

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

t

Finding in the t distribution table α=0.05 with df=7, we have

t_{0.05,7}=2.365

t>-t_{0.05,7} = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0
3 years ago
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