Answers
[tex] A = \dfrac{(B + b)h}{2} [/tex]
where B = larger base, b = smaller base, and h = height.
For this trapezoid, you have
B = 10 + 7 + 7 = 24
b = 10
h = 9
[tex] A = \dfrac{(24 + 10) \times 9}{2} [/tex]
[tex] A = 153 [/tex]
Related Questions
[tex] - 30 = 2(x - 97)[/tex]
Answers
In order to find out the answer to this question, we can distribute
[tex]-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197 [/tex]
Flip your problem around!
[tex]2x - 194 = -30 [/tex]
Add by [tex]194 [/tex] on each of your sides
Like: [tex]2x - 194 + 194 \\ \\ \\ -30 + 194 [/tex]
Cancel out: [tex]-194 + 194 [/tex] because they would give you the outcome of [tex]0[/tex]
Keep: [tex]-30 + 194 [/tex] because that'll give you: [tex]164 [/tex]
Your problem becomes: [tex]2x = 164 [/tex]
Now, we have to divide by [tex]2[/tex] on each of the sides
Like: [tex] \frac{2x}{2} = \frac{164}{2} [/tex]
Cancel: [tex] \frac{2x}{2} [/tex] because it will give you a outcome of [tex]1[/tex]
Keep: [tex] \frac{164}{2} [/tex] because this will give you your answer
[tex]Answer: x = 82 [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Jackets R us is having a 35% off sale at its outlet store this month.todd is figuring the sale price of a winter jacket normally priced at $89.99.
a. Estimate the sale price. Describe how you found your estimate.
b. calculate the amount that todd will pay for the jacket.
Answers
Bill had a salary of $48,000 last year. This year his salary is $49,920. What is the percent increase of Bill's salary?
Answers
A finance company offers a 36-month installment loan with an APR of 10.5%. Jerry wishes to use the loan to finance an engagement ring for $21,500. After first using Table 13-1 to find the finance charge, calculate the monthly payment.
Answers
What’s the answer for this question?
Answers
what is the slope of a line that is perpendicular to the line that passes through (1,0) and is parallel to y=3x+5
Answers
We need to first find the slope. Since we're already given an equation, we can simply find it within there :)
We're given an equation in slope intercept form (y = mx + b) so we can simply look in the "m" spot. Therefore, we know that the slope is 3.
Since our slope is perpendicular to the given line, we must find the negative reciprocal of the slope.
A negative reciprocal is simply a number flipped over and then given a negative (or a negative is removed).
An example is here : slope = 8 → negative reciprocal of slope = -1/8
So, our negative reciprocal of "3" is -1/3.
Therefore, our new slope is -1/3.
Now, since it passes through (1, 0) then this is how we are going to find out y-intercept to input it into our new equation.
y = mx + b
Simply plug in everything (including slope and y)
0 = (-1/3)(1) + b
Simplify.
0 = -1/3 + b
Add 1/3 to both sides.
1/3 = b
Therefore, our y-intercept is b.
Now that we have all of the needed variables for our new equation, simply plug everything into an all new equation :)
y = mx + b
y = -1/3x + 1/3
~Hope I helped!~
A rectangle is 3 times as long as it is wide. The perimeter is 40 feet. Find the dimensions.
Answers
3 + 3 + 1 + 1 = 8.
So 40 divided by 8 = 5. So
the width is 5, and the length is 15. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)
From my understanding, the width would be five and the length fifteen.
Happy to help!
~Brooke❤️
y 2 + 5y Choose the constant term that completes the perfect square trinomial.
Answers
The constant term that completes the perfect square trinomial is 6.25.
Explanation:To complete the square for the given expression y² + 5y, we take half of the coefficient of the linear term (5/2) and square it to find the value to be added. Half of 5/2 is 5/4, and squaring it gives 25/16. Adding 25/16 to the expression yields a perfect square trinomial: y² + 5y + 25/16 = (y + 5/4)².
To write it in standard form, we convert 25/16 to 1.5625. Therefore, the constant term that completes the perfect square trinomial is 1.5625, or 6.25 when expressed as a decimal.
BIG Nicks Moving Company unloaded 72% of the 300 boxes they delivered in 30 minutes. How many boxes did they unload each minute?
Answers
72% of 300 is 216. Knowing that it took 30 minutes to unload 216, we can now divide 216 by 30 to find how many boxes were, on average, delivered each minute! This gets us an answer of 7.2 boxes per minute, hope I helped!
300 × 72 ÷ 100 = 216 (downloaded boxes)
300:100=X:72
X=216
216÷ 30 minuti= 7,2 downloaded box in 1 minute
Which of the numbers 4, 5, or 6 is a solution of x+7>12
Answers
Given a triangle with vertices U(6, −1), W(0, −5), and X(4, −9), and Y is the midpoint of segment UW and Z is the midpoint of segment WX comma what is the length of YZ?
Answers
Here we have to use the distance formula
Please see the image attached with the solution , for the figure
Firstly we have to find the length of line segment XU
and the triangle has a property that the length of line segment that connects the midpoint of the two sides is half the length of the third side.
It means here
Length of YZ = half the length of XU
So lets find the length of XU
[tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}= \sqrt{(6-4)^2 +(-1+9)^2} =\sqrt{4+64} [/tex]
[tex] =\sqrt{68} [/tex]
[tex] =2\sqrt{17} [/tex]
Now the length of YZ = half of [tex] =2\sqrt{17} [/tex]
So length of YZ = [tex] =\sqrt{17} [/tex]
A Ferris wheel has a circumference of 440 feet. What is the approximate diameter of the Ferris wheel? Use 3.14 for pi
Answers
440 / 3.14 = d
140 1/7 = d
Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He starts out with only 2 guppies, and the function y equals 2 times 4 to the x models the number of guppies he will have after x months. Which graph represents this function?
Answers
The domain of this function is the set of all real numbers and the range are all positive reals.
The function is close to zero for negative values of X, but for positive values it grows rapidly.
Below is a graph of the aforementioned function:
y = 2 * (4 ^ x)
For x between -1.5 and 0.5 and for x between -6.5 and 5.5
In this exercise we have to recognize the graphics given in the images and in this way identify which functions are being represented, in this way we have to:
[tex]y = 2 * (4 ^ x)[/tex]
What is the exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable (unknown) in the exponent and the real number (greater than zero and different than one) in the base.
So we know that the graphs are of exponential functions and their form is given by:
[tex]y=a^x[/tex]
With this form we have that the function of the graph is:
[tex]y = 2 * (4 ^ x)[/tex]
See more about exponencial function at brainly.com/question/21822047
This figure is made up of a quadrilateral and a semicircle.
What is the area of this figure?
Use 3.14 for pi. Round your answer to the nearest tenth.
A.) 22.8 units²
B.) 40.4 units²
C.) 45.5 units²
D.) 74.5 units²
Answers
Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of AB is
[tex]AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}[/tex]
The length of AD is
[tex]AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}[/tex]
Since AB=AD, therefore ABCD is a square. The area of the of square is
[tex]A_1=a\times a=\sqrt{29}\times \sqrt{29} =29[/tex]
The area of square is 29 units².
The area of a semicircle is
[tex]A_2=\frac{\pi}{2}r^2[/tex]
Since AB is the diameter of the semicircle, therefore the radius of the semicircle is
[tex]r=\frac{d}{2}=\frac{\sqrt{29}}{2}[/tex]
The area of the semicircle is
[tex]A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825[/tex]
The area of the figure is
[tex]A=A_1+A_2=29+11.2825=40.3825\approx 40.4[/tex]
Therefore the area of the figure is 40.4 units². Option B is correct.
calculate the interquartile range of the following data set: 36, 54, 49, 39, 41, 48, 50
Answers
Answer:
14
Step-by-step explanation:
greatest common factor of 3 in 10
Answers
Hope this helped.
The greatest common factor of 3 and 10 is 1.
Greatest common factorThe greatest common factor (GCF) of two or more numbers is the largest number that is a factor of all the numbers.
The greatest common factor (GCF) of 3 and 10 is 1. There are no common factors other than 1 that evenly divide both 3 and 10.
Because 3 and 10 do not have any common prime factors, The greatest common factor of 3 and 10 is 1.
Learn more on gcf : https://brainly.com/question/36881642
#SPJ3
Simplify. (4x4 + 7x2 + 6x) - (x3 - 7x + 10)
A) 4x4 + 6x -10
B) 3x3 + 6x + 10
C) 3x7 +14x3 - 4x
D) 4x4 - x3 + 7x2 + 13x - 10
Answers
Dora is purchasing a $162,000 home with a 30-year mortgage at 5.15%. What is her monthly principal and interest payment?
A. $829.23
B. $884.56
C. $807.81
D. $876.09
Answers
Answer:
Option B is the answer.
Step-by-step explanation:
The formula for EMI is :
[tex]\frac{p\times r\times (1+r)^{n} }{(1+r)^{n} -1}[/tex]
Here p = 162000
r =[tex]5.15/12/100=0.004292[/tex]
n = [tex]30\times12=360[/tex]
Now putting the values in the formula we get,
[tex]\frac{162000\times 0.004292\times (1+0.004292)^{360} }{(1+0.004292)^{360} -1}[/tex]
[tex]\frac{162000\times 0.004292\times (1.004292)^{360} }{(1.004292)^{360} -1}[/tex]
= $884.60 close to option B.
So, option B is the answer.
Over a 12 hour period the students estimate that 2,400 bees will leave the hive. How many bees should they expect to travel west?
Answers
2400/10
hope this helps
identify the type for each quadrilateral
Answers
1. Quadrilateral 5: Square (4 equal sides, 4 right angles)
2. Quadrilateral 8: Parallelogram (2 sets of parallel sides, opposite sides not equal)
3. Quadrilateral 11: Trapezoid (1 set of parallel sides, opposite sides not equal, no right angles)
The image shows three quadrilaterals, each labelled with a number:
1. Quadrilateral 5: This shape has four equal sides and four right angles. Therefore, it is a square.
2. Quadrilateral 8: This shape has two sets of parallel sides, but its opposite sides are not equal in length. It also does not have four right angles. Therefore, it is a parallelogram.
3. Quadrilateral 11: This shape has only one pair of parallel sides. Its opposite sides are not equal in length, and it does not have four right angles. Therefore, it is a trapezoid.
The picture frames shown are both squares. The area of the smaller frame is 1/4 the area of the larger frame. Find the side length of the larger frame.
Answers
side of smaller frame =
[tex] \sqrt{9 } = 3in[/tex]
side of larger frame
[tex] = \sqrt{36} = 6in[/tex]
The side length of the larger frame will be 12 inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that the area of the smaller frame is 36 square inches and the area of the smaller frame is 1/4 times the area of the larger frame.
The area of the larger frame will be calculated as:-
1/ 4 x Area of larger frame = Area of the smaller frame
Area of the larger frame = 36 x 4
Area of the larger frame = 144 square inches
a² = 144
a = √144
a = 12 inches
Therefore, the length of the larger frame is 12 inches.
To know more about an area follow
https://brainly.com/question/25092270
#SPJ2
The graph shows Susan’s distance from her office, in yards, as she runs errands, over time, in minutes.
For which values of t (time) is Susan’s distance from her office decreasing from 70 yd to 0 yd?
A.
from t = 0 to t = 6
B.
from t = 10 to t = 12
C.
from t = 16 to t = 22
D.
from t = 22 to t = 26
Answers
A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.
Answers
So, the whole angle of the circle would be 2pi. To find the area of a sector, you can use the formula A=R*Angle
17pi/2= R* 17pi/90
R=45
A=45^2 * pi
A=90 pi or 282.6
Answer:
17pi/2= R* 17pi/90
R=45
A=45^2 * pi
A=90 pi or 282.6
Step-by-step explanation:
Simplify 8 over -3 divided by -4 over 9
Answers
8/-3 * 9/-4
72/12 = 6
Answer:
2/3
Step-by-step explanation:
you take the problem and write it down then flip the last fraction and multiply them together.
Yvonne purchased a jacket at Right Price, and the lowest price on the tag was $4. This was the sale price, which was calculated by taking 75% off of the original price. What was the original price of Yvonne's jacket?
Answers
Angelo rode his bike around a bike trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo said he rode his bike a total of 8/4 Miles. Teresa said he was wrong and that he actually rode 2 miles. Who is correct?
Answers
8/4 = 2
The ratio of girls to boys who participated in the geography bee was 5:4 there were 36 total students how many were boys
Answers
Answer:
There are 16 boys and 20 girls
what rational number between 9.5 and 9.7
Answers
Your answer is the number 9.6.
9.5 < 9.6
9.7 > 9.6
This is rational because it can be expressed entirely.
Hope this helps you.
Have a great day!
Tubas, trombones and French horns are bass instruments. Fully stretched out, the length of a tuba is 18 feet. The length of a trombone is 8 13/14, and the length of a French horn is 17 3/14. The tuba is how much longer than the French horn? And the French horn is how much longer than the trombone?
Answers
The length of the Tuba is 11/14 feet longer than the length of the French horn.
The length of the French is 8 ²/₇ feet longer than the length of a Trombone horn.
What is subtraction?It absolutely indicates subtracting something from a commodity, group, location, etc. Subtracting from an assemblage or a list of ways is known as subtraction.
Tubas, trombones, and French horns are bass devices. Fully pulled out, the measurement of a Tuba is 18 feet. The measurement of a trombone is 8¹³/₁₄ feet, and the measurement of a French horn is 17³/₁₄ feet.
The difference between the length of the Tuba and the French horn is given as,
⇒ 18 - 17 ³/₁₄
⇒ 18 - 241/14
⇒ (252 - 241) / 14
⇒ 11/14 feet
The difference between the length of the French and the Trombone horn is given as,
⇒ 17 ³/₁₄ - 8 ¹³/₁₄
⇒ 241/14 - 125/14
⇒ 116 / 14
⇒ 8 ²/₇ feet
The length of the Tuba is 11/14 feet longer than the length of the French horn.
The length of the French is 8 ²/₇ feet longer than the length of a Trombone horn.
More about the subtraction link is given below.
https://brainly.com/question/4319655
#SPJ2
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Answers
Alternate Interior Angles: Angles that are in the interior of the parallel lines, and are diagonal in the transversal.
So, angles <3 and <6 are alternate interior. <4 and <5 are alternate interior.
I hope this helps!
~kaikers
Answer:
angle 5 and angle 4
Step-by-step explanation: