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3 years ago

Solve for the missing side length Need help please

Mathematics

2 answers:

natita [175]3 years ago

6 0

Answer:

Step-by-step explanation:

Let the missing side be represented as x.

Applying the triangle proportionality theorem, we have:

$\frac{15}{x} = \frac{14 - 4}{4}$

Solve for x

$\frac{15}{x} = \frac{10}{4}$

Cross multiply

$x(10) = 4(15)$

$10x = 60$

Divide both sides by 10

x = 6

babymother [125]3 years ago

3 0

Answer:

Step-by-step explanation:

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Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

horsena [70]

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

<u>Plug in the values</u>

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 2 = 3/2(x - (-1))}$

<u>Simplify and distribute</u>

$\textsf{y - 2 = 3/2(x + 1)}$

$\textsf{y - 2 = (3/2 * x) + (3/2 * 1)}$

$\textsf{y - 2 = 3/2x + 3/2}$

<u>Add 2 to both sides</u>

$\textsf{y - 2 + 2 = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 7/2}$

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

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2 years ago

For the function f(x) = 4x − 7<br> Find f(-3)

valina [46]

Answer: -4x

Step-by-step explanation:

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4 years ago

Read 2 more answers

Find the missing side round your answer to the nearest tenth

ExtremeBDS [4]

Answer:

x = 38.4

Step-by-step explanation:

tan(38) = 30/x

x = 30/tan(38)

x = 38.4

Answered by GAUTHMATH

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3 years ago

Garrett brown bought $200,000 of term life insurance at the rate of $5.40 per thousand dollar unit how much is the annul premium

EleoNora [17]

Answer:

The annual premium will be = $1080

Step-by-step explanation:

Total life insurance term amount = $200,000

The term life insurance rate per $1000 = $5.40

Let’s divide total term amount i.e. $200,000 by $1000 unit to get the total number of $1000 units in $200,000

So, $200,000 ÷ $1000 = 200

So, it is clear that 200 would be the total number of $1000 units in total term life insurance amount of $200,000.

Therefore, if rate per unit $1000 is $5.40, then we must have to multiply $5.40 by 200 to find the annual premium as the total number of $1000 units in total term life insurance amount

of $200,000 is 200.

So, $5.40 × 200 = $1080

Hence, the annual premium will be = $1080

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3 years ago

To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether the

ludmilkaskok [199]

To increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and mean and standard deviation of X is mathematically given as

$X ~ Bin(n = 6, p = 0.2)$

x= 0.9798

<h3>What is a binomial random variable?</h3>

Generally, the equation for is mathematically given as

P(coupon) = 1/5

P(coupon)= 0.2

the binomial distribution

$X ~ Bin(n = 6, p = 0.2)$

Therefore, The mean and standard deviation of X

$пВ = np \\np= 6* 0.2 = 1.2\\$

$x=\sqrt{ np(1 - p)} \\ x=\sqrt{ 6 * 0.2 + (1 -0.2)} \\$

x= 0.9798

In conclusion, mean and standard deviation of X

x= 0.9798