Answer:
78 ft squared
Step-by-step explanation:
To find the area of trapezoid, we could use this formula:
.5*height*(sum of bases)
We know both the base lengths. They are 10 and 16 ft.
The height can be found by looking at that right triangle whose base is (16-10) ft or 6 ft.
So we want to find the height which is opposite the 45 degree angle and we have the adjacent side's measurement of 6ft.
This has the tangent ratio written all over it since tangent of an angle is opposite side's measurement over adjacent side's measurement.
tan(45)=height/6
1=height/6
6=height
6ft=height
The answer is:
.5*height*(sum of bases)
.5*6 ft*(10 ft+16 ft)
3 ft(26 ft)
78 ft squared
Note: That one right triangle is an isosceles right triangle so we didn't need trigonometry.
Sarah goes to dinner with two friends the total cost of dinner is $61.92 her friends pay 2/3 of the total cost exactly how much does Sarah pay
Answer:
the amount paid by Sarah is $20.64
Step-by-step explanation:
Given that
The total cost of the dinner is $61.92
And her friends pay 2 by 3
We need to find out the amount paid by Sarah
Since her friends pay 2 by 3 of the total cost
That means the remaining should be paid by Sarah i.e. 1 by 3
So, we need to multiply 1 by 3 with the total cost of the dinner i.e.
= 1 ÷3 × $61.92
= $20.64
Hence, the amount paid by Sarah is $20.64
Find the area of the figure. (Sides meet at right angles.)
Answer:
A=13*6 -5*3
A=78-15
A= 63
Step-by-step explanation:
Step 1- 4×3=12
Step 2- 4×3=12
Step 3- 13×3=39
Step 4- 12+12+39=63
Answer-63cm^2
Please helpp ASAP
Plsss helpp ASAP
Extra 100 points and brainliest
Answer:
C
Step-by-step explanation:
I think
If thats not right I apologize
10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right
Answer:
1) $15 more
2) Formula: 1/2 (2+5) 10
Area: 35
Step-by-step explanation:
1) 30-15=15
2) 1/2 (2+5) 10 = 35
Evaluate the expression g – (-v) for g = 7 and v = 5.
Answer:
12
Step-by-step explanation:
7−(−5)
=7−(−5)
=7+5
=12
2х - 7y = 14
Find the x and y- intercepts then graph them.
Fully simplify the fraction in the photo.
No links.
x ( x-1 )
———
5
I hope this helps, have a great day!
i need help asapppppppppppppp
Michelle took 9 hours of surfing lessons in August. This was 1/6the number of hours of surfing lessons Jack took in August. How many hours of surfing lessons did Jack take?
Answer: about 2 hours or 9/6
Step-by-step explanation: you take 9/1 and multiply 1/6
The coordinates for a quadrilateral are (0.0), (-1,2), (1,6) and 2,4). Determine the type of
quadrilateral.
Answer:
parallelogram
Step-by-step explanation:
2(3w-5y) expanded
please
The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.
In general terms:
m(n + p) = mn + mp
In this exercise:
Let's apply the distributive property:
[tex]\mathsf{2(3w - 5y)}[/tex]
[tex]= \mathsf{2(3w) - 2(5y)}[/tex]
[tex]= \boxed{\mathsf{6w - 10y}}[/tex]
Answer: 6w - 10y
Please help me
Kali and Kim each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Kali spent $32 on 2 rose bushes and 14 shrubs. Kim spent $26 on Il rose bushes and 2 shrubs. What is the cost of one rose bush and the cost of one shrub?
Answer:
$2 for 1 rose bush and $2 for one shrub
Step-by-step explanation:
32=2x+14y
26=11x+2y
32=2(2)+14(2)
32=4+28
32=32
26=11(2)+2(2)
26=22+4
26=26
Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool
Answer:
The cost of one rose bush is $2 and the cost of one shrub is $2.
Step-by-step explanation:
Let r represent the cost of 1 rose bush and s the cost of 1 shrub.
Kali's expenditure
2r + 14s = 32
Divide each term by 2
r + 7s = 16 ------ (i)
Kim's expenditure
11r + 2s = 26 ------ (ii)
From equation (i)
r = 16 - 7s
11(16 - 7s) + 2s = 26
176 - 77s + 2s = 26
-75s = 26 - 176
-75s = -150
s = -150/-75 = 2
r = 16 - 7s = 16 - 7(2) = 16 - 14 = 2
The cost of one rose bush is $2 and the cost of one shrub is $2
Each Serving of pasta is 1/2 pound. Drag to correct equation to each amount to show how many 1/2 pound serving Can be made
Step-by-step explanation:
4 pounds is 4÷1=8
2
5 pounds is 5÷1=10
2
John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00
Answer:
The correct answer is $515,840.00
Step-by-step explanation:
Answer:
The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.
Step-by-step explanation:
The increment is 4% each year.
What is increment?
Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.
What is lease?
A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.
What is hundredth?
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.
We use the formula,
[tex]A=P(1+\frac{R}{100})^{n}[/tex]
[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]
The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.
To know more about lease, hundredth, increment here
https://brainly.com/question/14804073
#SPJ2
how do you find the volume of a figure ?
Each of the figures are similar. Find the missing length
Answer:
x = 80
Step-by-step explanation:
3/12 = x/20
3x = 240
x = 80
i need help
please :)
have a good day
Answer:
I think it's probably 5 hikes
if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle
Answer:
28 ft
Step-by-step explanation:
the perimeter of the rectangle is 28 feet
VERY URGENT I HAVE A TEST! Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answer:
Sorry i just needed points.
Step-by-step explanation:
please help me out :))
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
HELP!!! answer quickly pls
Answer:
the first option
Step-by-step explanation:
hope it helps!!!
Answer:
it is y=2x+5 because replacing a point such as (-2;1) the remaining equation is 1=1, which is right
Step-by-step explanation:
If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).
Answer:
B
Step-by-step explanation:
f(x) - g(x)
= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL
= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1
= 2x² - 4x - 3 - x² + 16 ← collect like terms
= x² - 4x + 13 → B
The perimeter of an equilateral triangle with side length x - 3 can be represented by the expression 3(x - 3) and the perimeter of a square with side length 2x + 1 can be represented by the expression 4(2x + 1). Which of the following expressions represents the total perimeter of the two shapes? Your answer 11x + 5 11X-5 5x + 13 3x-2
A:11× + 5
B:11×-5
C:5×+13
D:3×-2
Megan is the manager of a computer shop she organises a sale with 18% off all tables Megan changes the price of own table from £389 to £330.98 has Megan changed the price probably
Answer:
this is easy. all you have to do is figure out what 18% of 389 is and then subtract that answer from 389. the easy trick i use is to make a fraction with the numerator being a question mark and the denominator being 389 (displayed below). then you would make a second fraction with 18 as the numerator and 100 being the denominator (displayed below). you would then multiply 389 with 18 and divide by 100 to get the numerator of the first fraction (which is 70.02). now you subtract 70.02 from 389 (being 318.98). this would mean that Megan has not done the math correctly.
Step-by-step explanation:
?/389 = 18/100
389 x 18 = 7002
100/7002 = 70.02
389 - 70.02 = 318.98
Sabina had Rs. 50,000. She deposited some amount of it in Sanima Bank
5% p.a. and rest in Agriculture Development bank at 4% p.a. After 3 years
she withdrew her money which amounted to Rs 57080. Find the interes
separately she got from each bank.
Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.
Answer:
The distance between Mary's house and her grandmother's house is approximately 49.73 miles.
The 3 traveled the following distances:
Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.
Step-by-step explanation:
Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.
Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that
[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]
[tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]
Mary's route was 49.73 square miles, to sum it up.
Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]
As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.
Answer:
49.73
Mary, Theo, Nancy
Step-by-step explanation:
Approximately how many miles did Mary drive to her grandmother’s house?
✔ 49.73
Order the distances that each family member drove to their grandmother’s house from least to greatest.
✔ Mary, Theo, Nancy
50 points
Please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?
A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2
Answer:
height [h]=6cm
Volume of cone =1/3 πr²h
128πcm³=1/3×π×r²×6
128×3/6=r²
r=√64
r=8cm
Now
slant height (l)=√{8²+6²}=10cm
again
.Total surface area :πrl+πr²=π×8(10+8)=144πcm²
its exact surface area is C. 144π cm²
[tex]\green{\boxed{-answer-}}[/tex]
Thats kinda hard but here maybe this one
C) 104π cm2
I dont really know well have a nice day man
Please help! No links
Find the area of the figure.
area: __ units^2
Answer:
33 units^2
Step-by-step explanation:
42 is the whole area and the triangle area is 9
so 42-9=33
What is the surface area of a cube with a side length of 3/4 inch? Use the expression 6s 2, where is the side length of the cube
Answer: The surface area of the cube would be 3^3/4.
Step-by-step explanation:
A cube has 6 faces [ 6 surfaces ]. Each surface has a square shape.
The area of 1 surface= (side)^2= 3/4 · 3/4= 9/16 sqr.in.
Surface area of cube =9/16 · 1/6= 54/16.
divide both top and bottom (54 and 16) by 2. you should end up with 27/8.
27/8 = 3^3/4 sqr. in.
Hope this helps.
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y