The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³
The given diagram is made up of a rectangular prism and a triangular prism.
The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.
Volume of triangular prism Vt = BH/3
Base area B = 0.5(5.7)(5)
Base area B = 14.25units²
Height = 4 units
Vt = 14.25 * 4
Vt = 57units³
Volume of the rectangular prism = l²h
Volume of the rectangular prism Vr = 1.7 * 1.7 * 4
Vr = 11.56units³
Volume of the shaded solid = Vt - Vr
Volume of the shaded solid = 57units³ - 11.56units³
Volume of the shaded solid = 45.4units³
Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.
Learn more on the volume of prisms here: https://brainly.com/question/12716590
Answer:
B
Step-by-step explanation:
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Answer:
74/17 = 4.35
Step-by-step explanation:
The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35
Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.
Answer:
it is not
Step-by-step explanation:
0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333
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x + 10 = - x + 28
Step-by-step explanation:
2x = 18
Divide both sides by 2
x = 9
--
△XYZ = △KLM,m
Find m
Answer:
<m is equal to the measure of <Z
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At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts
The quotient of triple a number less four and five equals two. What is the number?
Answer:
14/3
Step-by-step explanation:
The quotient of triple a number less four and five equals two. What is the number?
"triple a number" means 3x, if we say x is the "number"
"triple a number less four" means (3x-4)
"quotient of [triple a number less four] and five equals two." means
(3x-4)/5 = 2
3x-4 = 10
3x = 14
x = 14/3
===
Does ((14/3)3 - 4)/5 = 2 ???
(14 - 4)/5
10/5 = 2 YES
What is the number?
Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT
Answer:
B. <
Step-by-step explanation:
Each number in the sequence is greater than the previous number so the correct answer is b. <
An admission ticket costs $7.50 with a 5.75% tax.
Answer:
Step-by-step explanation:
Find the area of the rhombus
write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)
Answer:
y=2/3x+3
Step-by-step explanation:
parallel means it stays the same so its still 2/3
now use the equation y=mx+b
plug in the slope which is 2/3
so we get y=2/3x+b
then plug in the 2 points
1= 2/3(−3)+b
1=-6/3+b
1=-2+b
add 2 to 1 and -2
3=b
so we get y=2/3x+3
Help me please!! I don’t understand
Answer:
Step-by-step explanation:
72% of ______ days is 18 days.
Answer:
25 days
Step-by-step explanation:
lets the blank = x
Convert 72% to decimal: 0.72
0.72x = 18
x = 18/0.72
x = 25
-Chetan K
For the function F defined by F(x)=x2−2x+4, find F(2b−1).
Answer:
F(2b-1)=4b^2-8b+7
Step-by-step explanation:
F(x)=x^2-2x+4
F(2b-1)=(2b-1)^2-2(2b-1)+4
F(2b-1)=4b^2-8b+7
[tex]f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\[/tex]
If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.
Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.
$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.This year spending's is of 141.7 billion, hence, the equation is:
[tex]0.959x = 141.7[/tex]
[tex]x = \frac{141.7}{0.959}[/tex]
[tex]x = 147.8[/tex]
$147.8 billion was spent on television advertising in the previous year.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
I really need help! Please, please, PLEASE do not give me a link.
Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.
What is the total number of FICTION books that Kristen read last year?
A. 5
B. 7
C. 23
D. 25
Answer:
7 fiction and 23 non- fiction
Step-by-step explanation:
The number of non-fiction read was 5 less than 4 times the number of fiction books.
Assume fiction books are x.
An equation representing this would be:
x + (4x - 5) = 30
5x - 5 = 30
5x = 30 + 5
x = 35 / 5
x = 7 fiction books
Non-fiction books:
= 4x - 5
= 4 * 7 - 5
= 23 non - fiction books
Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.
Step-by-step explanation:
the slower plane traveled x miles in 4 hours.
the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.
so,
x + x + 320 = 3800 miles
2x =3480 miles
x =1740 miles (in 4 hours) .
that means the slower plane's speed was 435 mph.
and the faster plane's speed was 435 + 80 = 515 mph.
ax + b = c solve for x
plz help me!!!!!!!!!!!!!!!
Answer:
Go up 2, then over negative 6
Step-by-step explanation:
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
and that we use in the second equation
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she was working 14 hours on job A and 9 hours on job B.
Answer:
she is rich
Step-by-step explanation:
Graph y > 1 -3x
A
B
C
Or D
Answer:
D (You got it right.)
Step-by-step explanation:
Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.
D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)
Answer:
d
Step-by-step explanation:
Select all relations that represent function
Answer: All of the them except for the last relation.
Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.
Hope this explanation helps.
Solve for the value of R.
PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!
Answer:
r=20°
Step-by-step explanation:
Because the whole angle is 180°, you can make an equation.
105+(4r-5)=180
4r-5=75
4r=80
r=20
Give the other person brainliest ;)
helpppppppppppppppppppppppppppppppppppppppppppp
Answer:
18/66 (or 27%)
Step-by-step explanation:
6/11 chance of pink and 3/6 chance of odd number
6/11 * 3/6 = 18/66
can someone help me do this and show work
Answer:
Bank A: 24 years, Bank B: 28 years
Step-by-step explanation:
2.03x13 using standard algorithm
It came 26 by above calculation.
what does the quantity 28-8 represent?
1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______
Write equation of the line containing (-3,4) and (-1,-2)
Answer:
y=-3x+1
Step-by-step explanation:
Answer:
It will be the last one.
Step-by-step explanation: