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3 years ago

What is the measure of y? 3 27 y Z * A y = [?] Give your answer in simplest form.

Mathematics

1 answer:

Andrews [41]3 years ago

3 0

Applying the geometric theorem, the measure of y = 9.

<h3>What is the Geometric Theorem?</h3>

The geometric theorem states that, h = √(ab), where h is the altitude of a right triangle, a nd b are the segments formed when the altitude divides the hypotenuse of a right triangle.

Thus:

y = altitude = ?

a = 3

b = 27

Substitute

y = √(3 × 27)

y = √81

y = 9

Therefore, applying the geometric theorem, the measure of y = 9.

Learn more about geometric theorem on:

brainly.com/question/10612854

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One-third of the candidates for a job were 25 years old or younger. Two-sevenths of the candidates were at least 50 years old. I

Elza [17]

Answer:

1/3 * 84 = 28 were under 25

2/7 * 84 = 24 were at least 50

28 + 24 = 52

84-52 = 32 were between 25 and 50

Step-by-step explanation:

3 0

3 years ago

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years. Five years after Brian's initial inve

pentagon [3]

Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

$A=P(1+r)^t$

$I$ = A-P

A= Amount after t years

P= Initial amount

r= Rate of interest

t= Time in year

Given that,

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.

Here P = $10,000 , r= 4%=0.04, t=10 years

The amount in his account after 10 years is

$A=10000(1+0.04)^{10}$

=$14802.44

≈$14802

Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

Here P = $10,000 , r= 7%=0.07, t=5 years

The amount in his account after 5 years is

$A=10000(1+0.07)^{5}$

=$14025.51

≈$14026

From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

6 0

3 years ago

What percent of the June budget was for Tim's Chevron and car (to the nearest tenth)?

Maurinko [17]

Answer:

D. 17.4%

Step-by-step explanation:

To find a percent, divide the part by the whole and multiply by 100.

The part is the sum of Tim's Chevron and Car:

$23 + $272 = $295 = part

The total is $1695 = whole

percent = part/whole * 100%

percent = 295/1695 * 100%

percent = 0.174041 * 100%

percent = 17.4%

Answer: D. 17.4%

7 0

3 years ago

Complete the statements. If both expressions have the same value after substituting and simplifying two different values for the

8_murik_8 [283]

When both expressions have the same value, then they are equal to each other.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

Consider the expressions 5 + 8k and 8k + 5.

Using k = 3

5 + 8k = 8k + 5

5 + 8(3) = 8(3) + 5

5 + 24 = 24 + 5

29 = 29

Using k = 5

5 + 8k = 8k + 5

5 + 8(5)= 8(5) + 5

5 + 40 = 40 + 5

45 = 45

Learn more about the equivalence on:

brainly.com/question/889935

#SPJ1

<u>Complete question:</u>

Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.

Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29

Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45

Complete the statements.

If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.

The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.

3 0

2 years ago

The number of peanuts in a 16-ounce can of Nut Munchies is normally distributed with a mean of 96.3 and a standard deviation of

andriy [413]

To calculate for the z-score we use the formula:
z=(x-μ)/σ
thus the answers to questions will be as follows:

a]<span>Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts. What is the z-score for this can of peanuts?
</span>x=100
μ=96.3
σ=2.4
z=(100-96.3)/2.4
z=1.542

b]<span>Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts. What is the z-score for this can of peanuts?
x=116
</span>μ=112.6
σ=2.8
<span>thus
z=(116-112.6)/2.8
z=1.214

c]</span><span>Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim.
This is very correct because because by definition of z-score, Munchies with 100 peanuts is 1.542 away from the mean as compared to Munchies with 116 peanuts which is 1.214 standard deviations from the mean hence the higher likelihood. </span>

6 0

3 years ago

What is the measure of y? 3 27 y Z * A y = [?] Give your answer in simplest form.​

What is the measure of y? 3 27 y Z * A y = [?] Give your answer in simplest form.