Answer:
21.35 [tex]ft^{3}[/tex]
Step-by-step explanation:
It is given that the box is a triangular prism.
Side of Base of prism = 7 ft
Height of Base of prism = 6.1 ft
Area of a triangle is given as:
[tex]B = \dfrac{1}{2} \times \text {Base} \times \text{Height}[/tex]
[tex]\Rightarrow \dfrac{1}{2} \times 7 \times 6.1\\\Rightarrow 21.35\ ft^{2}[/tex]
Volume of a prism is:
[tex]V = B \times h[/tex]
B is the area of base of prism
h is the height of prism
Here, h = 1 foot
So, V = 21.35 [tex]\times[/tex] 1
Volume of prism is = 21.35 [tex]ft^{3}[/tex]
Sand required to fill the triangular prism shape box is 21.35 [tex]ft^{3}[/tex].
Factor completely. 81x4 - 1
Answer:
323
Step-by-step explanation:
Answer: 3x - 6^4
Step-by-step explanation:
I got the answer right
Find the total volume of the figure.
Answer:
The Volume is 2,200
Step-by-step explanation:
10+8.8= 18.8
13.7+25= 38.7
18.8+38.7= 57.5
This is the incorrect way
__________________________________________________
Correct way:
Volume= L×H×W
25 × 8.8 × 10 = 2,200
The total volume of the figure is 693 m³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given a composite figure consisting of a triangular pyramid and a triangular prism.
Total volume of the figure = Volume of pyramid + volume of prism
Volume of the pyramid = 1/3 × base area × height
Base area = 1/2 × √(13.7² - 8.8²) × 8.8
= 1/2 × 10.5 × 8.8
= 46.2 m²
Volume of the pyramid = 1/3 × 46.2 × (25 - 10)
= 231 m³
Volume of the prism = base area × height
= 46.2 × 10
= 462 m³
Total volume = 231 m³ + 462 m³ = 693 m³
Hence the total volume is 693 m³.
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148 + 2x = 180, What is x equal to?
180
148
28
18
So X equals 16
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
[tex]148 + 2x = 180 \\ 2x = 180 - 148 \\ 2x = 32 \\ \frac{2x}{2} = \frac{32}{2} \\ x = 16[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The graph shows the total number of inches of snow after different numbers of hours.
Which equation can be used to find the total number of inches of snow, y, after x hours?
A. y = 1.5x
B. y = 2x
C. y = 3x
D. y = 4.5x
Answer:
A, is the answer.
Step-by-step explanation:
If you take two points and then find the slope between them you'll find that it is 1.5.
You could also make a T-chart or plug in the x coordinates into each possible equation and see which one matches the corresponding y coordinate.
Answer:
A
Step-by-step explanation:
Please answer this ASAP need it fast.
Answer:
Step-by-step explanation:
[tex]-\frac{2}{3}a+\frac{5}{6}a-\frac{1}{6}[/tex]
Like term are [tex]-\frac{2}{3}a+\frac{5}{6}a[/tex], LCD of 3 ,6 = 6
[tex]\frac{-2*2}{3*2}a+\frac{5}{6}a-\frac{1}{6}=\frac{-4}{6}a+\frac{5}{6}a-\frac{1}{6}\\\\=\frac{(-4+5)}{6}a-\frac{1}{6}\\\\=\frac{1}{6}a-\frac{1}{6}\\[/tex]
A group of 140 high school students were asked, "Do you play a musical instrument?" The results are shown in the table below. If a musician is selected at random, what is the probability that the individual is a female student?
Males - only 24 play instruments and 41 don't
Females - only 43 play instruments and 32 don't
A. 43/140
B. 43/67
C. 43/75
D. 15/28
ANSWER:
A
Step -by -step verification:
Total number of female students that play instruments
Total number of students =43/140
If a musician is selected at random, the probability that the individual is a female student is; 15/28
How to Find the Probability?
We are given;
Total Number of High school students surveyed = 140
Number of males that play instruments = 24
Number of males that don't play instruments = 41
Number of females that play instruments = 43
Number of females that don't play instruments = 32
Thus, If a musician is selected at random, the probability that the individual is a female student is;
P(Female Student) = (43 + 32)/140 = 75/140 = 15/28
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A set of symbols that expresses a mathematical rule is called a
-base?
-square unit?
-formula?
-area?
-perimeter?
Someone please answer this
Answer:
30.35
Step-by-step explanation:
Please mark me as brainliest it would mean a lot
The 6sqrt(50) + 6 expression 1sqrt(2) written in the simplest radical form is:
Answer:
4. [tex] 36 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] 6\sqrt{50} + 6 \sqrt{2} [/tex]
= [tex] 6 \sqrt{25 \times 2} + 6 \sqrt{2} [/tex]
= [tex] 6 \times 5\sqrt{2} + 6 \sqrt{2} [/tex]
= [tex] 30 \sqrt{2} + 6 \sqrt{2} [/tex]
= [tex] \bold{36 \sqrt{2}} [/tex]
#CMIIW ^^
Mr. Schrock is flying an airplane 300 feet above the ground. You were laying on the ground 400 feet from where he dropped a senior survivor T-shirt. What is the angle of the elevation as you look at the plane?
Answer:hi
Step-by-step explanation:hi
If a circle has a diameter of 26 units, what is its area? (Use pie for
Answer:
[tex]530.93unit^2[/tex]
Step-by-step explanation:
[tex]A=\pi r^2\\=\pi *13^2\\=530.93unit^2[/tex]
Answer:
A = π169units^2 = 590.93units^2
Step-by-step explanation:
A = π r ^2
π 13^2 = π169
π169 = 590.93
A = π169units^2
9. Musa's age is two thirds of Abu's age.
If the sum of their ages is thirty years, how old is Abu?
Answer:
17
Step-by-step explanation:
Answer:
Abu is 18 years old
Step-by-step explanation: This is because 18x2/3 is 12, Musa's age, and 18+12=30.
z= -91 +14.6i
is the real part of z?
What is the imaginary part of z?
Answer:
- 91 and 14.6
Step-by-step explanation:
Given a complex number z = a + bi
Then a is the real part and b the imaginary part
Given
z = - 91 + 14.6i , then
- 91 is the real part and 14.6 the imaginary part
plz help asap ill give u 5 stars and mark u brainliest
Answer:
262.5
Step-by-step explanation:
1. do cross multiplication
2nd ans is 360 20x18 or just add 20 18 times
Answer:
262.5
Step-by-step explanation:
Sammy sold his sofa for $160 and made a loss of 20%. Find the amount he
bought it.
Person who solves this first gets brainliesr
Answer:
$200
Step-by-step explanation:
200/0.8
0.8 is the same as a loss of 20% or the same as 80%
Solve for X. picture above
Answer:
x equals 17
Step-by-step explanation:
I need help again (shock)
Answer:
Interior alternate
Step-by-step explanation:
They’re on the inside but opposite form each other
Answer:
Interior alternate
Step-by-step explanation:
9. Fill in the table below with the correct slopes:
If a line has a slope of
What is the parallel line slope? What is the perpendicular line
slope?
6
3
2
Answer:
-1/6 for the number 6 and 2/3 for -3/2
Step-by-step explanation:
You have to do the reciprocal, or just swap the numerator and denominator. but if the parallel is positive the reciprocal becomes a negative. If the parallel is negative, then the reciprocal is positive.
Glad I could help!
Find the distance between point F and point M.
A)7
B)9
C)10
D)11
Answer:
c. 10
Step-by-step explanation:
its 10 spaces away
Nina skated for 2 hour 14 mins she stopped at 8:24 what time did she start skating
Answer:
6:10
Step-by-step explanation:
To solve this problem, find the time 2 hours and 14 minutes before 8:24.
2 hours before 8:24 is 6:24.
14 minutes before 6:24 is 6:10.
Therefore, Nina started skating at 6:10.
Answer:
6:10
Step-by-step explanation:
Cuz if you do 8:24 - 2:24 you get 6:10
Ch.3 Test Savings Accounts
1. Mike deposits $5,000 in a three-year CD account that yields 3.5% annual interest,
compounded weekly. What is his ending balance at the end of three years?
Step-by-step explanation:
5000 x 3 + 3.5% of 5000 x 3 = the answer
Solve 8 = 2x + 4.
X = -4
X=-1
x = 0
X=7
Answer:
x = -1
Step-by-step explanation:
Write it in exponential form, 2^3 = 2^x+4
Since base is the same, Set the exponents equal, 3 = x + 4
Move the terms, variable goes to the left side and change the sign -x + 3 = 4
Subtract and calculate, -x = 1
Change the signs on both sides, x = -1
Answer:
x=-1
Step-by-step explanation:
i took the test
What is the following quotient?
2- √8
4+ 12
Answer:
C 69 gooba
Step-by-step explanation:
A cup chocolate chips weigh about 9 ounces. A recipe calls for 3 3/4 cups of chocolate chips. About how many ounces of chocolate chips are needed?
Hurry Due Today
Answer:
A cup chocolate chips weighs about 9 ounces.
=> 3 cups of chocolate chips weigh about 9 x 3 = 27 ounces.
=> 3/4 cup of chocolate chips weigh about 9 x 3/4 = 27/4 = 6.75 ounces.
=> 3 and 3/4 cups of chocolate chips weigh about 27 + 6.75 = 33.75 ounces.
Hope this helps!
:)
Answer: 77 + (3 x 4) - (27+56782) +23459 x 21=92,784,273
Step-by-step explanation: hope that solves the problem you are looking for. you are welcome. hope that you get smarter because of me.
A segment is m units long. Find the distance between the midpoints of the first and the last parts in each case. a The segment is divided into three equal parts
Answer:
(2/3)m units
Step-by-step explanation:
The segment is m units long. After dividing it into 3 three equal parts, each part is m/3 units long. The midpoint of the first part is located at (m/3)/2 = m/6 units from the beginning of the segment. The midpoint of the last part is located at (2/3)m + m/6 = (5/6)m units from the beginning of the segment. Then, the distance between the midpoints of the first and the last parts is (5/6)m - m/6 = (2/3)m units
Line can be divided into segments.
The distance between the two midpoints is 2m/3
The length of the segment is given as:
[tex]\mathbf{Length = m}[/tex]
The length of each segment, after dividing them into 3 segments is:
[tex]\mathbf{Segment = \frac m3}[/tex]
The midpoint of the first segment is:
[tex]\mathbf{First= \frac m6}[/tex]
The midpoint of the third segment is the sum of the first two segments, and the half a segment
So, we have:
[tex]\mathbf{Third = \frac m3 + \frac m3 + \frac m6}[/tex]
[tex]\mathbf{Third = \frac{5m}{6}}[/tex]
So, the distance between the two midpoints is:
[tex]\mathbf{Distance = \frac{5m}{6} - \frac{m}{6}}[/tex]
[tex]\mathbf{Distance = \frac{5m - m}{6}}[/tex]
[tex]\mathbf{Distance = \frac{4 m}{6}}[/tex]
[tex]\mathbf{Distance = \frac{2m}{3}}[/tex]
Hence, the distance between the two midpoints is 2m/3
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Can someone help me with these
Answer:
1) b=2 [tex]\sqrt{2}[/tex] a= 8 2) x=y= 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
1) since the triangle is isosceles, b=2[tex]\sqrt{2}[/tex] and a= 2[tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex] which is 8
2) x and y equal eachother and is 4/[tex]\sqrt{2}[/tex] which is 2[tex]\sqrt{2}[/tex]
Can someone please help me with this⁉️ the math question is in the picture and I’m so confused.
Answer:i think it’s a=az(b)
Step-by-step explanation:
PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!
Answer:
The first one. -4<=x<2
Step-by-step explanation:
PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!
A right triangle has legs measuring 18 in. and 26 in.
What is the length of the hypotenuse?
Round to the nearest tenth.
(A) 18.8 in.
(B) 31.6 in.
(C) 44.0 in.
(D) 100.0 in.
Step-by-step explanation:
You will have to use pythagorean theorem
18^2+26^2=x^2
324+676=1000
Then sqaure root of 1000 is 31.623.
If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?
Answer:
10 < x <22
Step-by-step explanation:
The smallest side must be larger than the difference of the two sides
16-6 = 10
x>10
The largest side must be smaller then the sum of the two sides
6+16 =22
x< 22
Put this together
10 < x <22
Answer:
10 < c < 22
Step-by-step explanation:
Remember the Triangle Inequality Theorem.
For a triangle with sides a, b, and c:
- a + b > c
- a + c > b
- b + c > a
Let's arbitrarily say a = 6 and b = 16. Then:
a + b > c
6 + 16 > c
c < 22
a + c > b
6 + c > 16
c > 10
b + c > a
16 + c > 6
c > -10
Thus, the range of possible lengths of the third side, c, is 10 < c < 22.