Answer:
640 units squared
Step-by-step explanation:
The shape below is a trapezoid.
The formula for the area of a trapezoid is average of the bases times the height.
The bases are the parallel lines that make up 2 of the sides of the trapezoid.
The height is the line dotted line that creates right angles and is the distance between the two bases.
The bases are 24 and 40.
To find the average, we add them together and divide by 2
(24+40)/2=64/2=32
Now, we multiply 32 by the height, which is given as the length of 20.
32*20=640
the area of the trapezoid is 640 units squared
Hope this helps!
Please help!
Passes through (- 1, - 8) and perpendicular to x + 3y = - 6
What is the equation?
Answer:
y = 3x - 5
Step-by-step explanation:
1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:
[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]
So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:
[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]
Find an explicit formula for the arithmetic sequence -5, 13, 31,
49,....
Note: the first term should be b(1).
B(n)=(blank)
Answer:
b(n) = -23 + 18n
Step-by-step explanation:
NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.
The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.
Since you have b(1), you look at what your first term is. Plug -5 into a(1).
To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.
So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)
All we need to do now is simplify.
1. Distribute: -5 + 18n - 18
2. Add like terms: -23 + 18n
Hope this helped and made sense lol.
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 5 seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
A) s=32t
B) 224 ft/s
Step-by-step explanation:
A)
In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between time, t, and speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:
y=mx+c
s=mt+c
32=1m+c
c=32-m
160=5m+C
160=5m+32-m
128=4m
m=32
c=32-m
=32-32=0
So our equation is s=32t
B)
s=32t
s=32(7)=224 ft/s
Identify the type of triangle by looking at the sum of the angle
measures.
145 + 20 + 15 = 180°
Answer:
Scalene triangle because it's all sides are unequal
Answer:
Scalene triangle
Step-by-step explanation:
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold.
Complete question :
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.
Answer:
(2y + 4x) - $100
Step-by-step explanation:
Given that:
Cost of supply = $100
Supplies :
binders, sales price = $4
Pencils, sales price = $2
Number of binders sold = x
Number of pencils sold = y
The revenue from sale :
(Cost of pencils * number of pencils) + (cost of binders * number of binders)
Revenue = 2y + 4x
Profit, p = Revenue - Cost of supply
p = (2y + 4x) - $100
PLS HELP
Identify the area of a regular hexagon with side length 17 in. rounded to the nearest tenth.
Answer:
750.8in squared
Step-by-step explanation:
The area of a regular polygon is one-half times the length of the apothem times the perimeter.
Notice that the formula combines the areas for the six triangles that fit inside the hexagon.
The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.
The interior angles of the hexagon have a measure of 120°
, so the angles at the base of the triangle (and the third angle) have measure 60°
.The height forms a 30°−60°−90°
triangle, which has one leg equal to half of the hexagon side, or 8.5 in.
, and the other leg equal to 8.53–√ in
The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.
Find the perimeter of the hexagon.
P=6(17)
Simplify.
P=102in.
The formula for the area is A=12aP
. Substitute the known values and simplify.
A=12(8.53–√)(102)
=433.53–√in2
Round to the nearest tenth as 750.8 in
Therefore, the area of the regular hexagon with side length 17in.
is A≈7508. in2
.
Marissa went on a trip and drove her car throughout the day. The graph below shows Marissa's distance from the starting point of her trip for different segments of time
What’s the answer to this please?
A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph below shows Marissa's distance from the starting point of her trip for different segments of time.
A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ6
The question seems incomplete, the missing part has been below:
A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.
B. What is Marissa's distance from the starting point at the end of her trip?
What are the x-input values of this relation? (1, 4), (2, 5), (3, 6) Choose all that apply.
1
2
3
4
5
6
pleaseee
Answer:
1, 2 and 3
Step-by-step explanation:
First you must know that the coordinate of a point is expressed as (x, y) wgere
x serves as the input value (domain)
y serves as the output values
Given the coordinates (1, 4), (2, 5), (3, 6), the input values will be the values at the x coordinates of the points that is 1, 2 and 3.
which of the following are trigonometric identities?
Candice opens a savings account with money from her
birthday. She initially put in $75. Each year her
balance increases by 25%. Write an equation to show
how much money Candice will have in their account in
x years.
A baker recorded the number of batches of
cookies he made on each of seven days. He
baked a different number of batches of cookies
each day. This box-and-whisker plot
summarizes his data.
Number of Cookies
+
9 10 11 12 13 14 15
1 2
3
4
5
6
7
8
The baker baked 20 batches of cookies on the
eighth day. He redraws the box-and-whisker plot
to include his data. Which statement comparing
the new box-and-whisker plot to the original box-
and-whisker plot is NOT true?
A. The median increased.
B. The lower extreme increased.
C. The upper extreme increased.
D. The value of the interquartile range
increased
Answer:
B. The lower extreme increased.
Step-by-step explanation:
From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.
The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.
The lower extreme isn't affected as the obtained value isn't below 5.
The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase
WHAT IS THE TOTAL SURFACE AREA OF THE SQUARE PYRAMID???? THIS IS THE LAST QUESTION AND I ONLY HAVE 13 POINTS SO PLEASE ANSWER CORRECTLY!!!! :DD WILL GIVE BRAINLIEST AND 5 STARS AND THANKS IF YOUR RIGHT
Answer:
The answer is 203 cubed in
Step-by-step explanation:
7 x 11 = 77
77 x 2 = 154
7 x 7 = 49
154 + 49 = 203
Phil's Frozen Yogurt Shop
A yogurt cup costs
$3.00 plus Phil
charges $0.50 per
topping.
y= cost $
x= # of toppings
what is the solution of x+4=10
Answer:
x=6
Step-by-step explanation:
the legs of a right triangle are congruent and the hypotenuse is
.
[tex]7 \sqrt{3} [/tex]
units long . find the length of each leg.
plss help me with this I'm really bad at math
Answer:
Step-by-step explanation:
Length of each leg = hypotenuse/√2
= 7√3/√2 units
= 7√6/2 units
What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)
plz help with this asap
Answer:
17
Step-by-step explanation:
6+15 =21
DB = A F
CB = A F -4
CB = 21-4 = 17
what is 2 x (√3)/3 x (√3)/3 ?
Answer:
2/3
Step-by-step explanation:
2*√3/3*√3/3
√3/3*√3/3=1/3
2*1/3=2/3
Which of the following equations shows how to correctly calculate the volume, V, in cubic centimeters, of the prism below?
A.V = (9)(12) × 18
B.V = × 9
C.V = × 12
D.V = × 18
Answer:
A
Step-by-step explanation:
Divide 20x^4 by 10x^2
Answer:
The answer for this equation is 2x⁶.
Step-by-step explanation:
In order to solve the equation, you have to Take out the Constants.
[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]
Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.
[tex] {2x}^{4} {x}^{2} [/tex]
And now you have to Use the product rule:
[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]
[tex]2x ^{4 + 2} [/tex]
and lastly, you have to simplify 4 + 2 to 6.
[tex] {2x}^{6} [/tex]
Therefor, the answer for this equation is 2x⁶.
Answer:
i have questine
Step-by-step explanation:
MY LAST QUESTION PLEASE HELP
Find the measures of a and b in the figure.
Answer:
55
Step-by-step explanation:
62+63=125
180-125=55
15 POINTS 15 POINTS !5 POINTS
Answer:
I AM SO SORRY but I need that point soo plsss Im sooo sorry
Answer:
The answer is (x+2)²+(y-3)²=29.
Hope it helps uh
help its for someone!!
Answer:
b 17/18
Step-by-step explanation:
Solve the one's in bracket then later solve everything together
whats 10 times 10? also 6 times 6
Answer:
10 x 10 = 100
6 x 6 = 36
:)
Answer:
10*10=100 | 6*6=36
Step-by-step explanation:
Well, 100/10=10
36/6=6
--------------
10+10+10+10+10+10+10+10+10+10=50+50=100
6+6+6+6+6+6=18+18=36
Leonard has 5 times as many stamps as Alison. Melissa has 7 more stamps than Leonard. If Alison has q stamps, how many stamps does Melissa have?
please i need help in geometry please help
Answer:
∠AOB = 112°
Step-by-step explanation:
mentally draw line segment OC
that line bisects 124° so ∠OCB = 1/2(124°) = 62°
ΔOCB is isosceles because OB = OC
∠OBC = 62° because it is equal to ∠OCB
all triangle interior angles add up to 180°
∠BOC = 180° - 62° - 62° = 56°
∠AOC = 56° because OC was a bisector of ∠AOB
∠AOB = 56° + 56° = 112°
Rodrigo buys a jacket that is on sale for 1/4 off the original price of 80$.he has a coupon for an additional 10% off.how much does Rodrigo pay for the jacket
Answer:
Price after off =80- 1/4 * 80 = 80-20 = $60
Coupon discount = 60*10/100 = $6
So, he have to pay, 60-6 = $54
4.
The number of hours h that it takes m men to assemble x machines varies directly as the number of
machines and inversely as the number of men. If four men can assemble 12 machines in four hours,
how many men are needed to assemble 36 machines in eight hours?
Answer:
5 men
Step-by-step explanation:
4m × 4h = 12
xm × 8h=36
x m = 4.5
need help with surface area
The City of Killeen utilities charges for water usage per gallon on a monthly basis as listed below.
Up to 500 gallons ($0.15/gallon)
More than 500 gallons - 1000 gallons ($0.33/gallon)
How much will Mrs Lapid pay if she uses 795 gallons in a particular month?
Answer:
$172.35
Step-by-step explanation:
The computation of the amount need to pay for 795 gallons is shown below
Up to 500 gallons it charges $0.15 per gallon
And, for more than 500 gallons till 1000 gallon, it charges $0.33 per gallon
So for 795 gallon, the total amount would be
= 500 × $0.15 - (795 - 500) × $0.33
= $75 + $97.35
= $172.35