A trapezoid has an area of 975 square meters. The height of the trapezoid is 50 meters, and the length of the longer base is twice that of the shorter base. Find the length of each base of the trapezoid.

Answers

Answer 1

Answer: Area of trapezoid(A) =(1/2) (b1 + b2)*h

b1= x - shorter base
b2=2x - longer base
A=975 m²
h=50 m

975 =(1/2) (x + 2x)*50
975 = 25*3x
975 = 75x
x=975/75 = 13 m

x= b1 = 13 m
b2=13*2=26 m

b1=13 m,
b2 = 26 m,

Related Questions

The surface of a mountain is modeled by the equation h(x, y) = 5000 - 0.001x² - 0.004y². A mountain climber is at the point (500, 300, 4390). In what direction should the climber move in order to ascend at the greatest rate?

Answers

Answer:

i-2.4j

Step-by-step explanation:

Given that,

The surface of a mountain is modeled by the equation as follows :

$h(x,y)=5000 -0.001x^2-0.004y^2$

A mountain climber is at the point (500, 300, 4390).

We need to find the direction in which he should move in order to ascend at the greatest rate.

To find direction, first finding the gradient of h as follows :

$\nabla h(x,y)=-0.002xi-0.008yj$

Now put x = 500 and y = 300

So,

$\nabla h(x,y)=-0.002(500)i-0.008(300)j\n\n\nabla h(x,y)=i-2.4j$

The direction of the climber is i-2.4j

Please answer ASAP. due tomorrow.

Answers

Answer:1: 36milimeters 2. 3,6 centimeters 3. 5milimeters 4. .5centimeters 5. 50milimeters 6. 5centimeters

Step-by-step explanation:

Your friend grace needs help to find the values of x,y and z in the figure below

Answers

Answers:

x = 57

y = 86

z = 37

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Work Shown:

x+123 = 180 .... since x and 123 form a straight line

x = 180-123

x = 57

y = 86 since the y and 86 angles are vertical angles

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For any triangle, the three angles always add to 180. So,

x+y+z = 180

57+86+z = 180

143+z = 180

z = 180-143

z = 37

As a check,

x+y+z = 57+86+37 = 180

which confirms the value of z

I NEED HELP ASAP PLEASE HELP

Answers

Answer: C

Step-by-step explanation:

Answer:

Answer: C

Step-by-step explanation:

When looking at the whole number, You always want to look at the tenths place to see of it's 5 or higher.

El producto de un número y 56

Answers

Answer:

x+56

Step-by-step explanation:

The product of two numbers is the result you get when you multiply them together. And refers to addition.

Write a formula that will compute the final grade for the course, using G to represent the final grade, H to represent the homework average, Q to represent the quiz average, P to represent the project grade, T to represent the test average, and F to represent the final exam grade. Note: Keep in mind how you must write the percentages that show the weighting of each category when doing computations!

Answers

Answer:

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Step-by-step explanation:

Solution:

Suppose grade breakdown for certain college course is as follow:

Homework = 15%

Quizzes = 20%

Project = 10%

Test = 40%

Final exam= 15%

Let G represent the final grade

H represents homework average,

Q represents quizzes and P represent project, T represent test average and F represent final exam.

To calculate final grade we use the formula:

Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).

This formula help us to calculate the grade we need to get.

Final answer:

The final grade, G, can be computed by adding together the weighted values of the homework average, quiz average, project grade, test average, and final exam grade. This can be represented by the formula G = 0.20*H + 0.20*Q + 0.25*P + 0.15*T + 0.20*F.

Explanation:

To compute the final grade for the course, you will need to multiply each category by its weighting percentage, then add the results together. This can be represented as the following formula:

G = 0.20*H + 0.20*Q + 0.25*P + 0.15*T + 0.20*F

In this formula, G is the final grade, H is the homework average, Q is the quiz average, P is the project grade, T is the test average, and F is the final exam grade. The coefficients (0.20, 0.20, 0.25, 0.15, and 0.20) represent the weighting percentages in decimal form for each respective category.