Answers
The area A of a trapezoid is the height h times the average of the parallel bases a and b.
A = (1/2)(a + b)h
Solving for a,
2A = (a+b)h
2A/h = a+b
a = 2A/h - b
We have A=59.64, b=4, h=8.4
a = 2(59.64)/8.4 - 4
a = 10.2 yards
Answer: 10.2
Related Questions
Round to nearest hundreth
Answers
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a gallon of oil next March? Round your answer to the nearest hundredth.
Answers
Answer:
$11.10 per gallon.
Step-by-step explanation:
There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40
If the gallon price of oil goes up 50% then our answer is: 7.40×[tex]\frac{3}{2}[/tex]=[tex]\frac{22.2}{2}[/tex]=11.1
The price of oil in March will be $11.10 per gallon.
Answer: 50% of 1.85= 11.10
Step-by-step explanation:
11.10 is the correct answer
Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4
Answers
Answer:
7^8
Step-by-step explanation:
(7^2)^4
We know a^b^c = a^(b*c)
(7^2)^4 = 7^(2*4)
= 7^(8)
Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?
Answers
Answer:55.7 would be the answer.
Step-by-step explanation:
Answer:
the answer is 55.7
Step-by-step explanation:
because i got it right on edge 2021
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
Answers
What is 1/3 of 60% as a fraction
Answers
60% *0.01 = 0.6
1/3*0.6=0.2=2/10=1/5
Answer:
1/5
The fraction is 1/5.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
60%
= 60/100
= 6/10
= 3/5
Now,
1/3 of 60%
= 1/3 x 3/5
= 1/5
Thus,
The fraction is 1/5.
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Help please!!!!
What is answer? Between which two consecutive whole numbers is the square root of 200.?
Answers
Answer:17.32
Step-by-step explanation:
A cereal box has the dimensions shown. A drawing of a rectangular prism shaped cereal box with length 9 inches, width 4 inches and height 12 inches. a. Find the surface area of the cereal box.
Answers
Answer:
surface area of the rectangular shaped cereal box = 384 ft²
Step-by-step explanation:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft²
Answer:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft
Step-by-step explanation:
Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.
Answers
Answer:
whar state ment
Step-by-step explanation:
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 34 kilogram each. How many bags does he pack? A. 18 bags B. 28 bags C. 32 bags D. 36 bags
Answers
Corrected Question
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?
Answer:
C. 32 bags
Step-by-step explanation:
Total Weight of Bag bought =24 kilograms
Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.
[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]
There will be 32 small bags of 3/4 kg.
The correct option is C.
Please answer asap. Find the volume.
Answers
Answer:
5cm³
Step-by-step explanation:
Volume of rectangular prism formula= L×W×H
1/2×4×5/2=
2×5/2=
10/2=
5cm³
what is the independent value
Answers
Dependent variable – the variable being tested or measured during a scientific experiment.
Controlled variable – a variable that is kept the same during a scientific experiment.
Jenny is ordering a sandwich with one type of meat and one type of cheese, if there are 6 cheese and 5 meat , how many different combs could she order
Answers
Answer:
30
Step-by-step explanation:
what greatest common factor of 7 and 7
Answers
Answer:
the greatest common factor is 7Step-by-step explanation:
Greatest common factor of 7 and 7 is 7
What is Greatest common factor ?
The Greatest common factor is highest common factor of the given numbers .
Here the given numbers are 7 , 7. Now the steps to find the Greatest common factor are :
1) write all the factors of the give numbers :
factors of 7 = 7,1
factors of 7 = 7,1
2) write all the common factors of given numbers :
common factors of 7,7 = 1,7
3) The highest factor of all the common factor will be the Greatest common factor :
Highest number from 1,7 is 7
Therefore, greatest common factor of 7 and 7 is 7
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Factorise this expression as fully as possible
4x^2+x^3
Answers
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle of depression from her eyes to the bottom of the post is 35o . How tall is the lamppost?
Answers
Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Need help someone help !
Answers
Answer:
A = 2x^2 + 2x - 12
Step-by-step explanation:
A = (2x-4)(x+3)
(use FOIL to solve)
A = 2x^2 + 2x - 12
What is a set of ordered pairs
Answers
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
A door sign has a length of 7 inches and an area of 25 square inches. Use the numbers and symbols shown to the right to choose an equation that can be used to find the unknown width (w). Choose all that apply. Then solve.
Answers
Answer:
The equation is [tex]25=7w[/tex]The width is 3.6 inches, approximately.Step-by-step explanation:
Givens
The length of the door sign is 7 inches.Its area is 25 square inches.We know that the area of a rectangle is
[tex]A= w \times l[/tex]
Where [tex]w[/tex] is width and [tex]l[/tex] is length.
We know by given that [tex]l= 7 \ in[/tex] and [tex]A= 25 \ in^{2}[/tex], replacing these values and solving for [tex]w[/tex], we have
[tex]25=7w[/tex] (this is the equation used to solve the problem).
[tex]w=\frac{25}{7} \approx 3.6 \ in[/tex]
Answer:
The equation is Area = length × width.
The width is approximately 3.57 inches.
Step-by-step explanation:
Door sign length, l = 7 inches
Area, A = 25 square inches
Width (w) is unknow.
Since the area is the product of the length and the width,
A = l×w
25 = 7×w
Dividing both sides by 7
w = 25/7
≈ 3.57 inches
Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od
Answers
Question:
What is the area of the SHADED sector of the circle?
Image of the circle is attached.
A) 400π units²
B) 20π units²
C) 180π units²
D) 40π units²
Answer:
C) 180π units²
Step-by-step explanation:
From thr circle, we can see that the given radius is 20 and the shaded part is 162°
The formula to calculate the area of the shaded sector of a circle is =
Area of the circle * fraction of the shaded part of the circle.
We know area of a circle = πr²
Therefore, area of the shaded sector =
[tex] = \pi r^2 * \frac{162}{360}[/tex]
[tex] = 20^2 * \pi * 0.45 [/tex]
[tex] = 400 * 0.45 * \pi [/tex]
[tex] = 180 \pi [/tex]
Area of the shaded sector of the circle is 180π units²
create an equation of a line that is Direct and parallel to y= 3x + 4
Answers
Hope this helps
Answer: [tex]y=3x[/tex]
Step-by-step explanation:
parallel lines have the same slope so you can have any line that is y=3x plus a number thats not 4
EXAMPLES:
[tex]y=3x-3[/tex]
[tex]y=3x+5[/tex]
[tex]y=3x-2[/tex]
(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...
Answers
Answer:
[tex]\frac{- 39}{70}[/tex]
Step-by-step explanation:
{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
We follow the BODMAS rule
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex] LCM= 35
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex] LCM= 70
= [tex]\frac{3 - 42}{70}[/tex]
= [tex]\frac{- 39}{70}[/tex]
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
Answers
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?
Answers
What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm
Answers
Answer:
295.2 cm^3
Step-by-step explanation:
Volume of a prism = length * width * height.
Here the volume = 4.8 * 4.1 * 15
= 295.2 cm^3.
The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
What is rectangular prism?A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
What is the volume of rectangular prism?To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
According to question
Length of rectangular prism = 4.8cm
Breath of rectangular prism = 4.1cm
Height of rectangular prism = 15cm
Volume of rectangular prism = Length * Breath * height
= 4.8*4.1*15
= 295.2[tex]cm^{3}[/tex]
Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
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can help for this questing
1) 2)
Answers
Answer:
1. Median
2. Altitude
Step-by-step explanation:
Medians- Bisect the side (Split the side into two equal parts)
Altitude- Makes a right angle
1. Splits the side into two equal parts. Anwser: Median
2. Makes a right angle Answer: altitude
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?
Answers
Answer:
180 teachers
Step-by-step explanation:
In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:
% teachers #teachers
45 81
100 x
we apply the rule of three:
x = 100 * 81/45
x = 180
which means that there are a total of 180 teachers at Russell High
Elsie starts a food blog. In the first month, there are 46 new subscribers. Each month after that, the number of new subscribers
increases by 15 more than the number of new subscribers in the previous month. At this rate, what will be the total number of
subscribers after 8 months?
788
394
151
848
Answers
Answer:C 151
Step-by-step explanation:
7 * 15=105 + 46=151
Answer: 788
Step-by-step explanation:
match the type of graph with its description
Answers
Answer:u tell me doc
Step-by-step explanation:
“And I do appreciate you being ‘round”
Answers
Answer:
LMJ and NMO
Step-by-step explanation:
Think of it as an X, top and bottom are vertical, and so are both sides together.
Answer:
LKJ and NMO
Step-by-step explanation:
Vertical angles are formed from the same lines and are opposite each other
LKJ and NMO are formed from the same lines and are opposite each other
