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3 years ago

100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

Mathematics

2 answers:

ivolga24 [154]3 years ago

7 0

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

$\frac{1}{2}$ × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = $\frac{30x+150}{3x+15}$ ← factor numerator and denominator

= $\frac{30(x + 5)}{3(x+5)}$ ← cancel the factor (x + 5) on numerator/denominator

= $\frac{30}{3}$

= 10

Yakvenalex [24]3 years ago

5 0

Answer:

b = 10ft

Step-by-step explanation:

Area = ½ × base × height

15x + 75 = ½ × base × (3x + 15)

30x + 150 = base × (3x + 15)

10(3x + 15) = base × (3x + 15)

base = 10

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5+15x=5( ) I'm not writing 20 characters

kompoz [17]

Answer:

(1 + 3x).

Step-by-step explanation:

We have to evaluate the missing term within the brackets in the following equation.

The equation is, 5 + 15x = 5(?)

Now, 5 + 15x

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3 years ago

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Answer:

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Step-by-step explanation: Its B because the vertex is in the middle

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3 years ago

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They

ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

$P = 2$

$G = 3$

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

This gives:

$P(G_1\ and\ G_2) = P(G_1) * P(G_2)$

$P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}$

$P(G_1\ and\ G_2) = \frac{3}{10}$

$P(P_1\ and\ P_2) = P(P_1) * P(P_2)$

$P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}$

$P(P_1\ and\ P_2) = \frac{1}{10}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

$P(Same) = \frac{3}{10} + \frac{1}{10}$

$P(Same) = \frac{3+1}{10}$

$P(Same) = \frac{4}{10}$

$P(Same) = \frac{2}{5}$

8 0

3 years ago

What dose composite mean?

Sveta_85 [38]

Adjective: Made up of various parts or elements

5 0

3 years ago

Milan invested his savings in two investment funds. the $4000 that he invested in fund a returned a 3% profit. the amount that h

mariarad [96]

Given:

Percent Amount $

Fund A 3% $4000

Fund B 1% x

Total Funds 8% $4000 + x

Find:

Fund B Investment

Solution:

$4000 * .03 + .10 * x = .08% ($4000 + x)

We already know 3 rates and one amount invested

$4000 * .03 + .10 * x = .08% ($4000 + x)

Multiply them out:

120 + (0.10 * x) = 320 + 0.08x

Now, we combine like terms.

.10x – 0.08x = 320 – 120

.02x = 200

Isolate x

x = 200 / 0.02

Divide

x = $10,000

Checking:

($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)

120 + 1000 = 320 + 800

1120 = 1120

Therefore, fund B has an investment of $10,000.

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3 years ago