Answers
Sum of two interior angles=exterior angle
[tex]\\ \rm\Rrightarrow 45+65=y[/tex]
[tex]\\ \rm\Rrightarrow y=110[/tex]
Linear pairs have sum 180[tex]\\ \rm\Rrightarrow x+y=180[/tex]
[tex]\\ \rm\Rrightarrow x+110=180[/tex]
[tex]\\ \rm\Rrightarrow x=70[/tex]
Related Questions
For a party, Susan estimated there would be 14 people in attendance, but only 12 showed up. What was the percent error in her estimation?
10.7%
16.7%
10.3%
7.1%
Answers
Answer:
16.7% (rounded)
Step-by-step explanation:
Step 1. Make a proportion, which is 2/12 times x%/100
Step 2. Cross multiply = 2*100/12
Step 3. Solve = 16.(6) or, 16.7% rounded!
(2 / 12) x 100 = 16.6 recurring
round up to 16.7
I need help will u determine the surface area of this pyramid
50 points
Answers
Answer:
[tex]224mm^{2}[/tex]Basic fact:
area of a triangle = b x h /2
Step-by-step explanation:
we know the three main values
10mm
8mm
8mm
10 x 8 / 2
10 x 8 = 80
80/ 2 = 40
there are 4 of these
40 x 4 = 160
the base is l x w
8 x 8 = base
base = 64
64 + 160 = surface area
surface area = [tex]224mm^{2}[/tex]
the equation for this pyramid would be:
4LH (length x height) + LW( length x width)
or
4lh ( 8 x 10) + lw (8 x 8
Find the Area of the figure below
Answers
Answer: 26.3^2
Step-by-step explanation:
rectangle:
5*4 = 20
semicircle:
6.28
20+6.28 = 26.28. rounded = 26.3
100 POINTS! FULLY CORRECT AND EXPLANITORY ANSWERS OLNY!
Akari has a punch bowl with a volume of 130,000/3 π cm^3. She is hosting a party where she’ll be offering guests two different sizes of cylindrical cups.
The bowl is completely full when Akari begins serving the punch.
Note: 1 cm^3=1 mL
A. Cup A has a diameter of 10 cm. and a height of 20 cm. Find Volume of Cup A.
B. Determine how many cups the punch bowl will fill using Cup size A.
Round the number of scoops to the nearest whole number, and make certain to show your work.
C. Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of B.
D. Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.
THIS QUESTION HAS 4 PARTS (A,B,C, and D) REMEMBER TO ANSWER THEM ALL! Thank you!
Answers
Answer:
volume of a cylinder = [tex]\pi r^2h[/tex] (where r is the radius and h is the height)
diameter = [tex]2r[/tex] (where r is the radius)
A) volume of Cup A = [tex]\pi \times 5^2\times20=500\pi \textsf{ cm}^3[/tex]
B) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]
[tex]\implies \dfrac{130000}{3}\pi \div 500\pi=\dfrac{260}{3}=87 \textsf{ (nearest whole number)}[/tex]
C) volume of Cup B = [tex]\pi \times 10^2\times20=2000\pi\textsf{ cm}^3[/tex]
D) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]
[tex]\implies \dfrac{130000}{3}\pi \div 2000\pi=\dfrac{65}{3}=22 \textsf{ (nearest whole number)}[/tex]
#1
Diameter=10cm
Radius=r=5cmHeight=20cm=h[tex]\\ \rm\Rrightarrow V=\pi r^2h[/tex]
[tex]\\ \rm\Rrightarrow V=\pi 25(20)[/tex]
[tex]\\ \rm\Rrightarrow V=500\pi cm^3[/tex]
#2
Total cups:-
130000/3π÷500π =87cups#3
Radius=r=10cmHeight=20cm[tex]\\ \rm\Rrightarrow V=\pi 100(20)[/tex]
[tex]\\ \rm\Rrightarrow V=2000\pi cm^3[/tex]
#4
Total cups
130000/3 π÷2000π=22cupsWhy does this happen?
Answers
Answer:
It is an exponential function
Step-by-step explanation:
With every growing value of x, it will multiply itself that many number of times.
please help me answer
Answers
Answer:
Graph C with values below
Step-by-step explanation:
To do this you substitute x with the values of x given to solve for y:
-3:
-2:
y= [tex]\frac{1}{2}[/tex](-2)³-2(-2)+1y= ([tex]\frac{1}{2}[/tex]×-8)+4+1y= -4+5y= 10:
y= [tex]\frac{1}{2}[/tex](0)³-2(0)+1y = 0+0+1y= 12:
y= [tex]\frac{1}{2}[/tex](2)³-2(2)+1y= ([tex]\frac{1}{2}[/tex]×8)-4+1y= 4-4+1y=1Using these values we can fill out the table and see the It must be graph C that is the correct curve.
Look at the picture, please answer
Find the volume of the composite figure to the nearest whole number
= __ ft³
Answers
Answer:
Step-by-step explanation:
Think of the figure as two different figures, the first figure being a rectangular prism with the measurements of 6ft x 2ft x 3ft and the second figure being another rectangular prism with the measurement of 2ft x 4ft x 5ft. The volume of the first prism is 36ft^3 and the second is 40ft^3. Therefore the figure's volume is 76ft^3.
PLEASE HELP WILL GIVE BRAINLIEST
Below is the table of values of a function. Write the output when the input is n.
Answers
If we look at the rest of the input and output, we also realize that:
output = input + 5
Thus if the input is 'n' then the output is 'n+5'
Hope that helps!
16) Which expression represents the phrase?
'The product of 5 and 6 reduced by t."
A) 5 - 60
B) 5(6 - t)
C) 546 + t)
D) 5 + 60
Answers
Answer:
The correct answer is B.
HELP
Angel has a rectangular garden that is 15 feet longer than it is wide. A cement path that is 4 feet wide surrounds the garden. The total area of the path is 632 sq. ft. what are the dimensions of the garden?
Answers
Answer:
43 ft. long, 28 ft. wide, area is 1204 sq. ft.
Explanation:
I had to draw a diagram for this, and I scribbled all over it, so bear with me as I try to describe this:
The garden is x+15 ft long, and x ft wide. The path is x+23 ft long, and x+8 ft wide, because the path adds 4 ft all around. If you cut the path into smaller rectangles, and find the area of the rectangles, the path is concluded have an area of 16x+184 sq. ft. We already know the area of the path is 632 sq. ft, which in equation form is 16x+184=632. If you solve for x, you get 28 ft. That means the width of the garden is 28 ft. If the length is 15 ft. longer than the width, the length is 43 ft. I also calculated the area for just in case you need it. Let me know if this was helpful in the comments.
two random samples of 25 people were asking how many 12 oz cans of soda they consume each week first sample contains both males and females aged 12 to 19 and females aged 20 to 39 thee results are shown in the table below. Sample 1: 16 11 9 12 11 10 10 8 15 0. 2 15 14 7 11 5 14 20 3 11 13 7 0 5 21. Sample 2: 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4. (Show all work on these questions) A: Find the mean and MAD of Sample 1. B: how many data points in s1 are closer than one MAD from the mean of Sample 1. C: find the mean abs made of Sample 2. Part D: same thing as part b but with Sample 2.
Answers
Answer:
One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.
Step-by-step explanation:
A company makes wax candles shaped like rectangular prisms. Each candle is 7 cm long, 2 cm wide, and 10 cm tall. If the company used 5740 cm of wax, how
many candles did they make?
Answers
Answer:
They made 41 candles.
Step-by-step explanation:
v=l×w×hv=10×7×2v=140 cm cubedlastly I divided 5740 by 140 ( the volume of one candle)therefore I got 41 candles were made from 5740 cm cubed of wax
Classify the following triangle. Check all that apply.
Answers
Answer:
acute and obtuse and scalene are the answers
if ad=30 and dc=30 what is the length of bd
Answers
BD =√30 +√30
BD = 2√30
Here you go
The diagram below shows the dimensions of a rectangular house with a
rectangular backyard.
40 ft House
Backyard
50 ft
30 ft
80 ft
What is the total area, in square feet, of the house and backyard?
A
200
B
400
с
4,000
D
5,200
Answers
Answer:
Your labels are weird and I can't tell what the dimensions are.
Step-by-step explanation:
Remember that the area of rectangles is the length times width. So The long side times the short side. There are two rectangles here so find the area of both and add them up.
Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?
12p + 7t = 62
7p + 12t = 62
12p = 62 – 7t
7p = 62 – 12t
.
Answers
Answer:
12p + 7t = 62
Step-by-step explanation:
A car travels 60 km at 30 km/hr and then a further 180 km at 160 km/hr. Find the total time taken.
Answers
Answer: 76.8km/hr
Explanation:
PT1
sp1 - 30km/hr
d1 - 60km
60 divided by 30 = 2hrs
PT2
sp2 - 160km/hr
d2 - 180km
180 divided by 30 = 1hr, 7min, 30sec (1.125)
PT3
Total Time Taken - 2hrs + (1:07:30) 1.125 = 3.125hrs
Avg. Speed - (60km + 180km) divided by 3.125hrs
60km + 180km = 240
240km divided by 3.125 = 76.8km/hr
Dora goes to a store and buys a phone originally priced at $45. The store is running a discount of 18%. What is the price of the phone after the discount?
Answers
Answer: 8.1 $
Step-by-step explanation: 18 percent of 45 is 8.1 ez math hope this helps.
Find the measurement of the missing side. Round all answers to the nearest tenth.
Answers
59.29+ 59.29= c squared
118.58= c squared
10.9 = c
DIG DEEPER! A truck produces 22 pounds of carbon dioxide for every gallon of diesel
fuel burned. The fuel economy of the truck is 18 miles per gallon. Write and graph a
function that describes the relationship between carbon dioxide produced y and distance
traveled x.
Answers
Answer:
y=22 x=18
Step-by-step explanation:
Find Two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer
Answers
Answer:
9 and 10
Step-by-step explanation:
To start, let's have what we know:
a and b are two consecutive positive integers
a = first integer
b = second integer, 1 greater than variable a
b = a + 1
b^2 = 19 + 9a
To solve this, we would only have to substitute values in
b^2 = 19 + 9a
(a+1)^2 = 19 + 9a
a^2 + 2a +1 = 19 + 9a
-9a -19 -19 - 9a
a^2 -7a - 18 = 0
a^2 + 2a - 9a - 18
a(a + 2) - 9(a+2) = 0
(a - 9)(a + 2) = 0
So solving this, we would get a = 9 or a = -2. Since this is supposed to be a positive integer, a will be 9.
Solving for b,
b = a + 1
= 9 + 1
= 10
Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it!
Solve for C⁰... photo above
Answers
Answer:
c = 9
Step-by-step explanation:
Since angle d and 59 are on a right angle (indicated by the small square)
We can equate the sum of these angles to 90:
d+59=90
Now we subtract 59 from both sides:
d+59-59=90-59
d=31
Since angles d,c and 140 are on a straight line we can equate the sum of these 3 to 180:
c+d+140=180
Substitute d with 31 from previous working out:
c+31+140=180
Simplify:
c+171=180
Subtract 171 from both sides:
c+171-171=180-171
Simplify:
c= 9
Two trains, train A and train B,weigh a total of 240 tons. Train A is heavier than train B. The difference of their weights is 70 tons. What is the weight of each train?
Answers
Answer:
Train A : 155 tons ; Train B : 85 tons
Step-by-step explanation:
Call train A as A, train B as B
A + B = 240t
A - B = 70t
Add these 2 together, we get :
A + B + A - B = 310t
2A = 310t (B-B = 0)
So, A = 155
B = 240 - 155 = 85
Quadrilateral MNOP has vertices M(-3,4), N(-1,4), O(4,-5), P(2,-5). What is the approximate perimeter of the quadrilateral?
Answer Choices:
A. 15 units
B. 18 units (Found out it was wrong)
C. 22 units
D. 25 units
*PLEASE HELP ME WITH THIS! (ONLY IF YOU CAN!)*
Answers
The perimeter of a shape is the sum of its side lengths
The perimeter of the quadrilateral is approximately 25 units
How to determine the perimeterThe vertices of the quadrilateral MNOP are given as:
M = (-3,4)
N = (-1,4)
O = (4,-5)
P = (2,-5)
Start by calculating the lengths of the side lengths using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]MN = \sqrt{(-1 +3)^2 + (4 -4)^2} = 2[/tex]
[tex]NO = \sqrt{(4+1)^2 + (-5 -4)^2} \approx 10.3[/tex]
[tex]OP = \sqrt{(2-4)^2 + (-5 +5)^2} =2[/tex]
[tex]PM = \sqrt{(-3-2)^2 + (4+5)^2} \approx 10.3[/tex]
The perimeter is then calculated as:
[tex]P = 2 + 10.3 + 2 +10.3[/tex]
Add
[tex]P = 24.6[/tex]
Approximate
[tex]P = 25[/tex]
Hence, the perimeter of the quadrilateral is approximately 25 units
Read more about perimeter at:
https://brainly.com/question/17297081
What is the equivalent radian measure of 540°? One-third radians StartFraction 3 Over pi EndFraction radians StartFraction pi Over 3 EndFraction radians 3 pi radians.
Answers
The equivalent radian measure of 540° is calculated to be 3π using the relation between degree and radian.
what is the relation between radian and degree?The value of 180° is equivalent to π radian.
π radian= 180°
as we know that
180° = π radian
1° = π/180 radian
540° = 540* π/180
3π radian
therefore, The equivalent radian measure of 540° is 3π.
to get more about degree and radian refer to:
https://brainly.in/question/37465526
Answer:
d on edge
Step-by-step explanation:
Find the amount paid for the loan.
$2400 at 10.5% for 5 years.
Answers
Answer:
0.525
Step-by-step explanation:
10.5%x5
by definition p%=p/100
10.5/100x5
divide the numbers
0.105x5
multiply the numbers
0.525
Answer:
0.525 is correct answer. Please Mark it as brainlist answer.
In a coordinate plane, what is the distance between the points (−8,−5) and (7,−5)?
Answers
HELP ASAP
On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile? HINT. Remember Keep, Change, Flip
• 2/5
• 5/8
• 1 3/5
• 2 1/2
Answers
Answer:
5/8
Step-by-step explanation:
please mark brainliest
Convert 12/5 into a decimal
Answers
Answer:
2.4
Step-by-step explanation:
12/5 as a decimal is 2.4
Hope this helps!
Answer:
2.4
Step-by-step explanation:
You can either use long-division or a calculator! There's no way to write the exact steps, but let me know if you need them because I can try to write them out for you!
decrease 70 in the ratio 3:2
Answers
Answer:
105
Step-by-step explanation:
