A scale model of the Washington Monument is 15 inches tall and the base is 1.5 inches wide. If the actual monument is approximately 555 feet tall, which is closest to the width, in feet, of the base?
What is the measure of the missing angle?
Answer:
79
Step-by-step explanation:
ADC is a triangle.
AED and ABC are straight lines.
EB is parallel to DC.
Angle EBC=148°
Angle ADC=63°
Work out the size of angle EAB.
You must give a reason for each stage of your working out.
Answer:
[tex]\angle EAB = 85[/tex]
Step-by-step explanation:
Given
[tex]\angle EBC = 148[/tex]
[tex]\angle ADC = 63[/tex]
See attachment for triangle
Required
Find EAB
[tex]\angle AEB = \angle ADC = 63[/tex] --- corresponding angles
[tex]\angle ABE + \angle EBC = 180[/tex] --- angle on a straight line
So:
[tex]\angle ABE + 148 = 180[/tex]
This gives:
[tex]\angle ABE =- 148 + 180[/tex]
[tex]\angle ABE =32[/tex]
Considering: [tex]\triangle ABE[/tex]
[tex]\angle ABE +\angle AEB +\angle EAB = 180[/tex] --- angles ina triangle
So:
[tex]32 +63+\angle EAB = 180[/tex]
[tex]95+\angle EAB = 180[/tex]
Collect like terms
[tex]\angle EAB = 180-95[/tex]
[tex]\angle EAB = 85[/tex]
Four fifths of a number equals 11.
Answer:
13.2
Step-by-step explanation:
hope this helped
Answer:
13 3/4
Step-by-step explanation:
11 x 5/4 = 55/4 = 13 3/4
check:
13 3/4 x 4/5 = 55/4 x 4/5 = 210/20 = 11
The scatterplot below represents the amount of paper left in an office copy machine in the month of June.
Approximately, what is the amount of paper left inside the machine on 14th of June
Answer:
75
Step-by-step explanation:
What property do we use when we find equivalent fractions?
Answer:
It's called the cross multiply rule. The rule is shown below: This formula says that if the numerator of one fraction times the denominator of the other fraction equals the denominator of the first fraction times the numerator of the second fraction, then the fractions are equivalent.
Step-by-step explanation:
Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals. a) How much money was in the account after one year? b) How much money was in the account after 4 years? c) Was the amount of money earned in interest the same or different each year?
Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
Consider JKL and MNO
Which piece of information can be used to prove that AJKL - AMNO ?
Given f(X) = 4x^4+5x - 15x² - 45, find f(-3).
Answer:
i think the answer is 174
how much short of 2 metres to 107cm
Answer: 93 centimeters
Step-by-step explanation: Its 93 cm because 2 metres is equivalent 200 cm, so 200-107= 93.
please hurry i have less than five minutes
Would you expect the line in the question described above (y=−9.25x−1.75y=−9.25x−1.75 ) would have a slope that points up and to the left or up and to the right? Why?
Answer:
Up and to the left.
Step-by-step explanation:
I checked it on desmos graphing calculator
After 3 hours of steady snowfall, Rhianna measures how much snow is in her driveway. She finds there is 1/2 of an inch of snow. How many inches of snow fell each hour?
Answer:
1/6 inch per hour
Step-by-step explanation:
1/2 ÷3= 1/6
399 divided by blank equals 3.99
Answer:
100
Step-by-step explanation:
399/100= 3.99
im honestly not sure how to explain it.
Write an expression for the operation described below. r times 10
Answer:
r * 10
Step-by-step explanation:
* stands for multiplying.
If x=7 then which answers would I circle? A. X + 7 = 17 b. 7 = 17 - x c. 70 = 10x d. X/35 = 5 e. 15x = 105
Answer:
C. 70 = 10x
E. 15x = 105
Step-by-step explanation:
x = 7
Using method of elimination;
A. X + 7 = 17
Substituting the value of x;
7 + 7 ≠ 17 (Incorrect option)
B. 7 = 17 - x
Substituting the value of x;
7 ≠ 17 - 7 (Incorrect option)
C. 70 = 10x
Substituting the value of x;
70 = 10 * 7 (Correct option)
D. X/35 = 5
Substituting the value of x;
7 / 35 ≠ 5 (Incorrect option)
E. 15x = 105
Substituting the value of x;
15 * 7 = 105 (Correct option)
Jerome discovered he had made an error when he measured one of the feathers. Which data value could be the error? Explain
Answer:
3/4
Step-by-step explanation:
From the plotted number line :
The Outlier value can be determined :
Q1 = 0.25(n+1)th term
Q1 = 0.25(21)th term = 5.25th = (2 1/4 + 2)/2 = 2.125
Q3 = 0.75(21)th term = 15.75th = 2 1/2
IQR = Q3 - Q1 = 2.5 - 2.125 = 0.375 = 3/8
Q1 - 1.5(IQR) = 2.125 - (1.5*0.375) = 1.5625
Q3 - 1.5(IQR) = 2.5 + (1.5*0.375) = 3.0625
Hence, Outlier values will be :
Values < 1.5625 and
Values > 3.0625
The Outlier value in the data is 3/4
What is the solution to the system graphed below?
Answer:
The solution is (-4,-1)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The lines intersect at x = -4 and y = -1
The solution is (-4,-1)
HURRY I WILL GIVE 100 pointssss!!!
A climber is on a hike. After 4 hours he is at an altitude of 800 feet. After 12
hours, he is at an altitude of 1400 feet. What is the average rate of change? *
Answer:
First Problem: 200 ft/hour Second Problem: 3 ft/hour
Step-by-step explanation:
R = D/T
So, 800/4=200
We will check if the rate matches for the second example rate:
1400/12=200. It does, so we know we are correct
Problem 2:
R = D/T
90/30=3
Hope it helps.
please help me i dont know it
.
Answer:
c
Step-by-step explanation:
All 5 students in Mrs.Awful’s class got 50 for the test For the next test, one of the students got 100 but the remaining students all got 50. What it the average grade in the class now?
Answer:
60
Explanation:
the formula for calculating the average grade would be the total score of all students ÷ the number of students. in this case, that would be:
(100 + 50 + 50 + 50 + 50) ÷ 5
= 300 ÷ 5
= 60
so, the average grade is 60.
i hope this helps! :D
Missing leg of 75 and 60
Answer:
huh?
Step-by-step explanation:
Is this a question or what??
Natalia is was paying $165 for her cell phone plan with Sprint. She found a better deal with AT&T and switched companies and now pays $129. What is her percent savings to the nearest percent?
You have 10 gallons of lemonade to sell. 1 gallon is approxiamately 3785 cm3. Each customer uses one paper cup as shown. Hay many paper cups will you need?
the cups a cone shape with the radius of 8 cm and the height or 11 cm
A. 205
B. 312
C. 544
D. 78
Need help with the answer please
lord have mercy
please help me
Answer:
-24 and positive 2
Step-by-step explanation:
I forgot how to do this
Sorry I need this answered again because a spammer answered it the first time :/
The circulatory system helps provide energy to the body when it
A. Carries wastes to the liver and kidneys
B.carries carbon dioxide to the lungs
C.carries oxygen and nutrients to the muscles
D.carries hormones through the bloodstream
Answer:
C
Step-by-step explanation:
pls answer asap!!ty!!
Please label the missing angles below.
Answer:
Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.
Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.
Work for Triangle C: Same as B.
Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.
Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.
Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?
A 12%12%
B 22%22%
C 75%75%
D 88%
Answer:
[tex]88 \\ \\ \\ 25 - 3 = 22 \\ 22 \div 25 \times 100 = 88\%[/tex]
LOOK AT THE PIC BELOW
Answer:
TO FIND THE AREA OF A RECTANGLE, THAT IS L×B OR L× W (WIDTH/BREADTH) IS THE SAME THING. KEEP THAT IN MIND. SO : 90FT × 150FT. = 13500FTSQ. BUT WE ARENT FINISHED . YOU NEED TO FIND THE AREA OF BOTH SEMICIRCLES (SEMI MEANS HALF) , SO HENCE, THE AREA OF BOTH HALF SEMICIRCLES. THAT IS : PIRSQUARED. PI×R×R. THE RADIUS IS UNKNOWN. SO WE WILL USE THE DIAMETER TO FIND THE RADIUS SINCE THE DIAMETER IS TWICE THE RADIUS. THAT IS : 90÷2 , THAT IS = 45.SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :
PIRSQUARED = PI × R×R 3.14 × 45×45 OR 45SQUARED.THAT IS : 6,358.5 FT SQUARED. NOW 6,358.5FT SQ IS ONLY THE AREA OF ONE SEMICIRCLE. SO NOW WE KNOW THAT BOTH SEMICIRCLES HAVE A AREA OF 6,358.5 FT SQ.WE WILL ADD : 6,358.5 + 6,358.5 = 12,717.YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.
= 26,217FT SQ.
SINCE THEY ARE PROBABLY ONLY ASKING FOR THE AREA OF THE RECTANGLE, THEN THE ANSWER WOULD BE 13500FT SQ INSTEAD OF 26,217. NOT SUREAnswer:
C, 19858.5 [tex]ft^2[/tex]
Step-by-step explanation:
Imagine that these are two semi-circles on either side of a rectangle
the diameter of the semi circle is 90, and the radius is half of the diameter.
this means the radius is 45 (for both circles)
so now lets apply that to the area of a full circle, [tex]\pi r^2[/tex]
replace r with the radius [tex]\pi 45^2[/tex]
using 3.14 as pi, your answer should be 6358.5
but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25
since there's two semi circles, you would multiply this by two and now you're back to 6358.5
if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle
now calculate the area of the rectangle, which is length times width
150 * 90 = 13500
so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)