Find the area of the triangle below.Be sure to include the correct unit in your answer.Side: 15 ydSide: 12 ydHeight: 5 yd

Answers

Answer 1

The area of a triangle is given by the formula:

$\frac{1}{2}(\text{base x altitude)}$

Altitude is the same as the height. The base, in this case, is the side that measures 15 yards, and the height (altitude) is 5 yards. Therefore, we have:

$A=\frac{1}{2}\cdot(15yardsx5yards)=37.5yards^2$

Thus, the area of the triangle is 37.5 square yards or 37.5 yards^2.

The answer is in squ

Related Questions

Translate the verbal description to a mathematical expression: the product of a number and twelve.
need help asap

Answers

the product of a number and twelve could be rewritten as

n • 12

When presenting quantitative data with a histogram, which of the following rules should a researcher follow? Start the frequency/proportion at zero. Put a break in they-axis. Put gaps between intervals. All of the above. None of the above.

Answers

A researcher should follow all of the rules when presenting quantitative data with a histogram. This includes starting the frequency/proportion at zero, putting a break in the y-axis, and putting gaps between intervals.

When creating a histogram, there are several important rules to follow in order to ensure that the data is accurately presented. These rules include starting the frequency/proportion at zero, putting a break in the y-axis, and putting gaps between intervals. Additionally, the bin width should be uniform and the x-axis should have a label. Furthermore, the histogram should have a title that describes the data being presented. Finally, the researcher should be sure to include a legend that explains the different colors and symbols used in the histogram. Following these guidelines will ensure that the data is accurately and effectively presented.

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what is 1 5/6−3/4 in simplest form?

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The mixed fraction and fraction expression 1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1 ⁵/₆ - 3/4

Convert the mixed fraction number into a fraction number. Then we have

⇒ 1 ⁵/₆ - 3/4

⇒ 11/6 - 3/4

⇒ (22 - 9) / 12

⇒ 13 / 12

The mixed fraction and fraction expression 1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

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what is the nth term in a cube number sequence

Answers

Answer:

cube numbers: 1, 8, 27, 64, 125, ... - the nth term is. triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots).

Step-by-step explanation:

IF IT HELPED UH PLEASE MARK ME A BRAINLIEST :-)

Tecside real estate, inc. is a research firm that tracks the cost of apartment rentals in southwest virginia. in mid-2002, the regional average apartment rental rate was $895 per month. assume that, based on the historical quarterly surveys, it is reasonable to assume that the population standard deviation is $225. in a current study of apartment rental rates, a sample of 180 apartments in the region provided the apartment rental rates.a. do the sample data enable tecside real estate, inc. to conclude that the population mean apartment rental rate now exceeds the level reported in 2002? the sample mean is $915 and the sample standard deviation is $227.50. make your decision based on α=0.10.b. what is the p-value?

Answers

Answer:

The decision is to fail to reject the null hypothesis

This means that the population mean apartment rental rate now does not exceeds the level reported in 2002

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = \$895$

The population standard deviation is $\sigma = \$225$

The sample size is $n = 180$

The sample mean is $\= x = \$ 915$

The sample standard deviation is $s = \$ 227.50$

The level of significance is $\alpha = 0.01$

The null hypothesis is $H_o : \mu \le \$ 895$

The alternative hypothesis is $H_a : \mu > \$895$

The test statistics is evaluated as

$t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }$

=> $t = \frac{ 915 - 895}{ \frac{225}{ \sqrt{180} } }$

=> $t =1.193$

So from z-table the p-value is obtained, the value is

$p-value = P(Z > t) = P(Z > 1.193 ) = 0.11643$

So From the value obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.

Answers

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²

Calculating the complex expressions

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) = (a + ib)²(a - ib)²

This gives

x² + y² = (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²

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Help me with this worksheet please

Answers

The trigonometry ratio values are tan(50) = 1.19 and cos(70) = 0.34

The trigonometry ratio values

This can be calculated using a calculator

So, we have

tan(50) = 1.19 and cos(70) = 0.34

The measures of the angles

This can be calculated using a calculator

So, we have

sin(84) = 0.9945 and tan(75) = 3.7321

The trigonometry ratio values

Here, we make use of the laws of cosines and sines

So, we have

cos(X) = 15/17 = 0.8824

sin(C) = 36/45 = 0.8

The measures of the indicated angles

Here, we make use of the laws of tangents and sines

So, we have

tan(?) = 6/13 = 0.4615

? = 24.77

sin(?) = 41/59 = 0.6949

? = 44.01

Answers

Answer: b) τ = 0.3

Step-by-step explanation:

Given the data :

Amount of salt (x)____% body fat(y)

0.2 _______________20

0.3 _______________30

0.4 _______________22

0.5 _______________30

0.7 _______________38

0.9 _______________23

1.1 ________________30

The correlation Coefficient as obtained from the online pearson correlation Coefficient calculator is 0.3281 = 0.3 (to one decimal place) which implies that a weak positive correlation or relationship exists between the preferred amount of salt taken to the percentage body weight of an individual. This is because the value is positive and closer to 0 than 1. The closer the weaker the degree of correlation. With positive values implying a positive relationship (that is an increase in variable A leads to a corresponding increase in B and vice-versa).

Some one plz help this is a wuick question

Answers

the answer is c

3.3 x10 restu power minus 3

486.664946274 + 541.24664245567 =

Answers

1027.91158873

jdndjdbbdkdkdjddn

Answer:

the answer is 1027.91159

In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.

Answers

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= $\frac{18}{36}$

hence, percentage of people who liked blue cars= (18/36)*100 %

= 50%

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

Answers

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

I need help! I’ll give BRAINLIEST

Answers

Answer:

not sure if this is what you're looking for but..

Step-by-step explanation:

To find the factor pair of -15x^2 that adds to be 2x, we need to find two numbers that multiply to -15x^2 and add up to 2x. The first step is to factor out the greatest common factor (GCF) which is -x. This gives us:

-15x^2 + 2x = -x(15x - 2)

Now we need to find two numbers that multiply to -2 and add up to 15. The only pair of numbers that works is 1 and -15. Therefore, we can write:

-15x^2 + 2x = -x(15x - 2) = -x(1x - 15x)(-1)(-2)

So the factor pair of -15x^2 that adds up to 2x is (-1)(-2) which equals 2

A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro

Answers

Let the cost of a pencil be "x" and the cost of a biro be "y".

From the first statement, we can write:

2x + 3y = 50 ...(1)

Similarly, from the second statement, we can write:

3x + 4y = 70 ...(2)

We now have two equations with two unknowns. We can solve for x and y using elimination or substitution method. Let's use the elimination method:

Multiplying equation (1) by 3 and subtracting it from equation (2) multiplied by 2, we get:

(2)(3x + 4y) - (3)(2x + 3y) = (70)(2) - (50)(3)

Simplifying, we get:

2x + 5y = 40 ...(3)

Now we have two equations with two unknowns:

2x + 3y = 50 ...(1)
2x + 5y = 40 ...(3)

Subtracting equation (1) from equation (3), we get:

2y = -10

Therefore, y = -5

Substituting y = -5 in equation (1), we get:

2x + 3(-5) = 50

Simplifying, we get:

2x = 65

Therefore, x = 32.5

Hence, the cost of a pencil is 32.5 cents and the cost of a biro is -5 cents.

However, it is not possible for the cost of a biro to be negative, so there must be an error in the calculations or in the problem statement. Please check the numbers and the problem statement again.

Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month

Answers

Answer:

Continous distributions:

- A probability distribution showing the average number of days mothers spent in the hospital.

- A probability distribution showing the weights of newborns.

Step-by-step explanation:

A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).

A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.

A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.

A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.

The option that describes a continuous distribution include:

A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.

A continuous distribution simply means the probabilities of the values of a continuous random variable.

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What is the x-coordinate of the point on the line x = 3y - 1 with a y-coordinate of 4

Answers

Answer:

Step-by-step explanation:

when y = 4

x = 3(4) -1

x= 12-1 = 11

Priya rewrites the expression 8 − 24 as 8( − 3). Han rewrites 8 − 24 as2(4 − 12). Are Priya's and Han's expressions each equivalent to 8 − 24? Explain your reasoning.

Answers

The given expression is

$8y-24$

Priya rewrite the expression as

$8(y-3)$

Expanding priya's expression gives

$\begin{gathered} 8(y-3)=8\times y-8\times3 \\ 8(y-3)=8y-24 \end{gathered}$

Hence Priya's expression is equivalent to 8y - 24

Han's rewrite the expression as

$2(4y-12)$

Expanding Han's expression gives

$\begin{gathered} 2(4y-12)=2\times4y-2\times12 \\ 2(4y-12)=8y-24 \end{gathered}$

Hence, Han's expression is equivalent to 8y - 24

Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately Normally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron. What is the probability that a binding site position is between 2.0 and 3.0 microns, approximately

Answers

Answer:

0.8427

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For 2.0 microns

z = (x-μ)/σ

z = 2.0 - 2.45/0.35

= -1.28571

Probability value from Z-Table:

P(x =2.0) = 0.099271

For 3.0 microns

z = (x-μ)/σ

z = 3.0 - 2.45/0.35

z = 1.57143

P-value from Z-Table:

P(x = 3.0) = 0.94196

The probability that a binding site position is between 2.0 and 3.0 microns

= P(x = 3.0) - P(x = 2.0)

=0.94196 - 0.099271

= 0.842689

Approximately = 0.8427

Nick nas cup of syrup. He uses cup of syrup to make a bont of granota
PartA: How many bow's or granola can Nick make with cup of syrup? (4 points)
Part 8: on your own paper, draw a fraction model that shows the total number of bouts of granola that Nick can make with cup of syrup. Make sure to label the model seks
explain your model in detail to descnbe how this model visually shows the solution for Part A. (6 points). I’ll make u brainless if u help

Answers

Answer:

Step-by-step explanation:

its easyk

(-4a^3-7a^2-6a)+(-6a^3+8a-7a^2)

Answers

-10a^3-14a^2+2a is the right answer

Alicia has had 16 hints 46 at-bats in her softball games. How many consecutive hits does she need to raise
her batting average to 0.400

Answers

Answer:

Step-by-step explanation:

She has to raise 289 bats more

she raises 289 more bats

A tube of watercolor paints is $8.69, a paintbrush is $4.78, and a canvas is $6.32. If you pay with a $20 bill, how much money will the cashier give back to you?
Show your work & NO LINKS!

Answers

Answer:

0.21

Step-by-step explanation:

Answer:

$0.21

Step-by-step explanation:

The tube of watercolor paints costs

= $8.69

The paintbrush costs

= $4.78

And the canvas costs

= $6.32

Total amount

= $19.79

If we pay $20 the cashier will give back

= $20 - $19.79

= $0.21

if the cost of 4 boxes is RS 140 how many boxes can be bought for RS 210

Answers

Answer:

200

Step-by-step explanation:

Answer:

6 boxes

Step-by-step explanation:

4boxes = 140RS

x. = RS 210

x = RS210×4/140

x= 6 boxes

When would you need to arrange polynomials

Answers

When you’re simplifying after collecting like-terms or if the question asks to put each monomial in descending order

Which of the following statements are true? Select all that apply.
HELP PLEASE!

Answers

C is not correct I took the test

Solve the system by graphing y=-4x-2 -2x+y=-2 Plot both lines and point of intersection by moving the dots to the correct location

Answers

Answer:

The point of intersection is (0,-2).

Step-by-step explanation:

Equation 1: $y=-4x-2$

Equation 2 : $-2x+y=-2$

Plot the lines on the graph

Refer the attached figure

Equation 1: $y=-4x-2 ---- Red$

Equation 2 : $-2x+y=-2 ---- Blue$

Point of intersection : A point where both the lines intersect is called point of intersection.

So, Both lines intersect at point (0,-2)

So, Point of intersection is (0,-2)

Hence The point of intersection is (0,-2).

Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?

Answers

Answer:

$38.75

Step-by-step explanation:

$465/12=$38.75

graph h(x)=(x-1)^2-9

Answers

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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What is 35% of 125?