What is the area of the trapezoid? [A = 5(61 + b2)h]
202 ]
A) 1249.5 sq cm
B) 162.75 sq cm
C) 105 sq cm
D) 38.75 sq cm
Answer:
A = 105 cm²
Step-by-step explanation:
The area (A) of the trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] [ (b₁ + b₂)h ]
where h is the height and b₁, b₂ the parallel bases
Here h = 5 , b₁ = 24 and b₂ = 18 , then
A = [tex]\frac{1}{2}[/tex] [ (24 + 18)5 ]
= [tex]\frac{1}{2}[/tex] (42 × 5)
= [tex]\frac{1}{2}[/tex] × 210
= 105 cm²
If the quotient of 3/8 and 2 is subtracted from the product of 1 3/4 and 8/12 what is the difference please help
Answer:
47 / 48
Step-by-step explanation:
Quotient of 3/8 and 2
3/8 ÷ 2
3/8 * 1/2
= 3 /16
1 3/4 * 8/12
7/4 * 8/12
= 56/48
56/48 - 3/16
L. C. M of 48 and 16 = 48
(56 - 9) / 48
= 47 / 48
2x+8(x+3) = 3(x-13)
please show the work, i’ll mark brainliest
Answer:
x = -9
Step-by-step explanation:
2x + 8( x + 3 ) = 3( x - 13 )
Dstribute;
2x + 8 ( x + 3 ) = 3 ( x - 13 )
2x + ((8)(x)) + ((8)(3)) = ((3)(x)) - ((13)(3))
2x + 8x + 24 = 3x - 39
Combine like terms;
2x + 8x + 24 = 3x - 39
10x + 24 = 3x - 39
Inverse operations;
10x + 24 = 3x - 39
-3x -3x
7x + 24 = -39
-24 -24
7x = - 63
/7 /7
x = -9
A scale drawing of an ant uses a scale of 1 centimeter = 2.5 millimeters. If the actual ant is 10 millimeters long, find the length of the ant on the drawing.
Answer:
4 Centimeters
Step-by-step explanation:
If 1 centimeter is 2.5 millimeters, then 4 centimeters is 10 millimeters because 2.5 x 4 = 10 or 10/2.5 = 4
Kali and Ryan are selling cheesecakes for a school fundraiser. Customers can buy New York style cheesecakes and apple cheesecakes. Kali sold 12 New York style cheesecakes and 1 apple cheesecake for a total of $79. Ryan sold 14 New York style cheesecakes and 1 apple cheesecake for a total of $91. Find the cost each of one New York style cheesecake and one apple cheesecake.
Answer:
New York style cheesecake: $6 Apple cheese cake: $7
Step-by-step explanation:
Ryan and Kali sold the same amount of apple cheesecakes which means the New York cheesecakes differed in amount. Ryan sold 2 more than Kali so the difference in amount would be the cost of 2 New York cheese cakes.
Ryan made $91 and Kali made $79. Since they sold the same amount of apple cheesecakes, we can use their difference in money made to find the cost of 2 New York cheesecakes. So take away 79 from 91 and you get 12. $12 is the price of 2 New York cheesecakes. So take the 12 and divide it by 2. You get 6. $6 is the price of one New York cheesecake.
To find the amount of one apple cheesecake, you just need to multiply the amount of New York cheesecakes Kali sold by the price of 1 New York cheesecake. So 6 multiplied by 12 is equal to 72. Take the money Kali made and take away 72 from it. You get 7. 7 is the cost for one apple cheesecake. $7 for 1 cheesecake.
I hope this helps!
What’s the answer?!?!?
Answer:
24 inches
Step-by-step explanation:
You can see in the picture a triangle is formed where the sides are AB, BC, and AC.
The side lengths you have are AC = 16 and BC = 20.
You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:
[tex]16^2+b^2=20^2[/tex]
[tex]256+b^2=400\\b^2=144\\b=12[/tex]
This means that the length of AB = 12.
It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches
need help with geometry!! thank you!!
Answer:
1. is 38.85km. 2. is 155.4km
Step-by-step explanation:
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer: 20
Step-by-step explanation:
First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:
= 3 × 12 = 36 inches.
Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:
= 3 feet / 9 inch
= 36 inches / 9 inches
= 4 pieces
Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:
= 4 × 5
= 20 pieces
The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle
Answer:
The sidelength of the triangles is 6 feet and 8 feet.
Step-by-step explanation:
Given that,
The Hypotenuse of a right triangle = 10 feet
Let the shorter leg is x. It means the longer leg is (x+2).
For a right triangle,
Hypotenuse²=base²+perpendicular²
So,
[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]
The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.
Answer: -8 6
Step-by-step explanation:
Micheal plays 1/15 of a song in 1/5 of a minute. How many minutes will it take to play the whole song?
Answer:
3 minutes
Step-by-step explanation:
To find how many minutes it will take to play the whole song, multiply 1/5 by 15
15(1/5)
= 3
So, it will take 3 minutes to play the whole song
Answer:
Given :-Micheal plays 1/5 part of song in 15 minTo Find :-Time taken to complete whole song
Solution :-Let the time taken be x
Now,
x = 1/5 of 15
x = 15/5
x = 3 min
Step-by-step explanation:
[tex] \\ [/tex]
2xy +1 = 1
solve for x
Answer:
the answer of this question is 0
A. First, convert this equation into y-intercept form
y = 2x + 1
B. 2 is the slope: 1 is the y-intercept
Then, plug in 1 for y and solve
C. 1 = 2x + 1
Therefore, x is 0
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
PLEASE HELP ME WITH THIS QUESTION!!!!!!!!
I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that
3y + 7 = 5x 7x - 3y = 1
Answer:
x=-3, y=-22/3. (-3, -22/3).
Step-by-step explanation:
3y+7=5x
7x-3y=1
---------------
5x-3y=7
7x-3y=1
--------------
-5x+3y=-7
7x-3y=1
----------------
2x=-6
x=-6/2=-3
7(-3)-3y=1
-21-3y=1
3y=-21-1
3y=-22
y=-22/3
9t + 21t - 8
It needs to be factored
A store offers 20% off all items. Let x represent the original purchase price.
Answer:
what are we soposed to do?
Step-by-step explanation:
HELP ME PLEASE!!!I NEED HELP!!
Answer:
Must be recipe b.........
. Which statement about the
function y=-3x – 2 is true?
A. As the value of x increases, the value of y increases.
B. As the value of x decreases, the
value of y stays the same.
C. As the value of x increases, the value of y decreases.
D. As the value of x decreases, the value of y decreases.
Answer:
C. As the value of x increases, the value of y decreases.
Step-by-step explanation:
The slope is -3. Negative slope means:
As y increases, x decreases.
Therefore:
As y decreases, x increases.
ayoo could someone please help me with my math?? multiple selection answer:)
Which of the following options represents an equation that can be used to solve for the missing side of a right triangle? Select all that apply.
Answer:
choice 1) a^2+b^2 = C^2
and
choice5) c = sq rt(a^2+b^2)
jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?
A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers per minute. The rate of change is 3.5 kilometers per minute. The rate of change is 1 kilometer per minute
Answer:
eliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers
Which of the following expressions could be used to find the perimeter of this figure?
P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)
Answer:
A
Step-by-step explanation:
four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:
P= 4(18mm) + 2(24mm)
A
Answer:
P = 4(18 mm) + 2(24 mm)
Step-by-step explanation:
I NEED HELP PLZ!!!!!! 20 POINTS
Answer:
1 is c
2 is d
3 is a
Step-by-step explanation:
Sorry it took a bit not pretty good at these but i used an app called desmos and it basically gives the answer
what is the interest on RS. 1000 at 10 p.c.p.a for 1 year.
Answer:
Interest wil be 10% of 100 which is 10
So,
interest will be Rs.10
and total amount to be payed will be 100+10 which is Rs.110
Answer:
Interest is Rs.10
Step-by-step explanation:
Interest of Rs.100 on 10 p.c.p.a is 10% of 100
i.e., 100*10/100 = 10
Thus we have 10 as the interest
Keith is 5 years older than Trina. Two times the sum of their ages is 62. Write and solve an equation to find Keith’s age.
Answer:
Trina is 13
Kieth is 18
Step-by-step explanation:
x + 5 = Kieth's age
Divide by 2 to separate the ages:
62 ÷ 2 = 31
Subtract the difference in ages:
31 - 5 = 26
Add the 5 years to Kieth's age:
31 + 5 = 36
Divide by 2 again, to eliminate the twice of their ages
26 ÷ 2 = 13
36 ÷ 2 = 18
Trina is 13
Kieth is 18
This is what i got. Sorry if i'm wrong, lmk if i am!
Hope this helps! Brainliest if i'm correct!?
Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys?Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys? A. 33 + 42 B. 33 + 24 C. 33 + 4 × 2 D. 32 + 4 × 2
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each.
The expression that gives the total cost of the bouquets that Penny buys will be:
= (3 × $3) + (4 × $2)
Solving further will be:
= (3 × $3) + (4 × $2)
= $9 + $8
= $17
Answer:
D
Step-by-step explanation:
The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter receive?
A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?
Answer:
18ft x 20ft
Step-by-step explanation:
(I'm kinda in a rush so I can't explain right now, sorry!)
Hope that helped though :)
The actual dimensions of the house is 18 feet by 20 feet.
Scaling is used to either increase or decrease the size of a figure to create an image.
Given that a scale of 6cm to represent 12 ft. Hence:
9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.
10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.
The actual dimensions of the house is 18 feet by 20 feet.
Find out more on scaling at: https://brainly.com/question/25324744
(3,-14) and (-4,14) write an equation of the line passing through the given points
Answer:
y=-4x-2
Step-by-step explanation:
With the equation provided, you can plug in the 3 or -4 into the x-value, and will get the corresponding y-value.
Hope this helps!
find the total cost. $50 item; $10 coupon off; 10% sales tax
Answer: 44 dollars
Step-by-step explanation: