Answers
Volume of a rectangular prism=L×B×H
since the area is already given to you as 27/5units²...
volume=(27/5)×(5/2)
= 13.5 units³
Related Questions
Work out
m
and
c
for the line:
y
=
3
x
+
1
Answers
Answer: m=3
Step-by-step explanation:
Solve the right triangle. Round decimal answers to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
take angle A as reference angle
using cos rule
cos A = adjacent/hypotenuse
cos A =10/15
cos A =0.66
[tex]A=cos^{-1} (0.6666)[/tex]
A=48.194
A=48.2
angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)
48.2 + angle B + 90 =180
138.2 + angle B =180
angle B =180-138.7
angle B =41.8
for BC
using pythagoras theorem
a^2 + b^2 = c^2
AC^2 + BC^2 = AB^2
10^2 + BC^2 = 15^2
100 + BC^2 = 225
BC^2 = 225-100
BC^2 = 125
[tex]BC=\sqrt{125}[/tex]
BC=5[tex]\sqrt{5}[/tex]
BC=11.2
How many quarters does Annie have
A.35
B.49
C.3
D.7
Answers
Explanation:
Sarah has 21 more quarters than Annie.
As shown, It says That Sarah has 28 quarters.
So, if Sarah has 21 more, it means you add 21 + 28
Resulting in 49.
Hope this helps you! If available please give me a Branliest. It is much appreciated!
- Mathhotdog •~•
Answer:
n = 7
Step-by-step explanation:
sarah = m
annie = n
sarah has 21 more than annie
m = 21+n
given sarah has 28 quareters
m = 21 + n
28 = 21 + n
28 - 21 = n
7 = n
annie has 7 quarters.
Find the volume of the shape with the given dimensions 8 in by 5 in by 3 in
Answers
Answer:
V = (8 in)(5 in)(3 in) = 120 in^3
Step-by-step explanation:
The likeliest name for this shape is "rectangular prism." Let's assume that the length, L, is 8 in; the width, W, is 5 in; and the height, H, is 3 in.
Then the volume of this rectangular prism is V = L * W * H, or
V = (8 in)(5 in)(3 in) = 120 in^3
I need to find the area
Answers
180/2=90
The area is 90
Answer:
90 cm^2
Step-by-step explanation:
The area of a triangle is half of the base times height, so it is 1/2*15*12 = 7.5*12 = 90
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 5?
Answers
Answer:
The slope is 4 and the y intercept is -5/2
Step-by-step explanation:
8x-2y = 5
Solve for y to get the equation in slope intercept form
Subtract 8x from each side
8x-8x-2y =-8x+ 5
-2y = -8x+5
Divide by -2
-2y/-2 = -8x/-2 + 5/-2
y = 4x -5/2
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept
The slope is 4 and the y intercept is -5/2
what is slop of the line that passes through the ponitss (5, -4) and (7, -4)
Answers
Answer:
The slope is 0
Step-by-step explanation:
Points on the graph:
(5, -4) and (7, -4)
Slope:
m=(y2 - y1)/(x2 - x1)
m=(-4 + 4)/(7 - 5)
m= 0/2
m=0
Write the equation of the line which has a slope of -5 and passes through (-4,4). Write the answer in slope-intercept
Answers
Answer:
y = - 5x - 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, then
y = - 5x + c ← is the partial equation
To find c substitute (- 4, 4) into the partial equation
4 = 20 + c ⇒ c = 4 - 20 = - 16
y = - 5x - 16 ← equation of line
Please help me ASAP tysm
Answers
Answer:
?
Step-by-step explanation:
pleaseee help me with this questionnn
Answers
Answer:
itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567
Step-by-step explanation:
otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654
Fill in the blank: 12(8x - 4) = __X - 48
Answers
Answer:
96x
Step-by-step explanation:
12(8x - 4)
=12*8x - 12*4
=96x - 48
Answer:
96
Step-by-step explanation:
You distribute the 12 to each term, the 8x term turns into 96x after distribution.
Please help me! It is very important that I get this done but I am beyond confused!
Brandt invests an initial amount P of $180 into an account that pays interest at 2.5% compounded continuously. Carter invests $120 into an account that pays 4.8% compounded continuously. The balance of each investment, A, is calculated using the equation A=Peⁿ. The graph shows their investments over time.
When will their investments reach the same balance?
a. Their investments will never reach the
same balance.
b. Their investments will reach the same
value between years 15 and 16.
c. Their investments will reach the same
value between years 16 and 17.
d. Their investments will reach the same
value between years 17 and 18.
e. Their investments will reach the same
value between years 18 and 19.
Answers
Answer:
Step-by-step explanation:
i think it should be d 16 and 17
Math Problem Solving
statistics and probability
Answers
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
Mean Formula
[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]
[tex]\mu_x^2 = 163.84[/tex]
Variance Formula
[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]
[tex]= 174.2- 163.84\\\\=10.36[/tex]
Standard Deviation Formula
[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]
[tex]=\sqrt{10.36}\\\\=3.218[/tex]
What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32
Answers
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
5676.16 cm³
Step-by-step explanation:
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answers
Answer:
(-infinity, 9]
Step-by-step explanation:
The range of the function is 'all real numbers less than or equal to 9.' We are told that the vertex is at (-2, 9) and that the curve opens downward, which indicates that 9 is the maximum function value, and that the function can take on any value less than or equal to 9.
The domain is 'the set of all real numbers,' which is true for any polynomial.
Shape ABC has the following coordinate
A (3,9) B (27,-15) C (-12,-6)
The Image A'B'C' of a dilation has the coordinate
A' (1,3) B' (9,-5) C' (-4,-2)
What is the Scale Factor of the Dilation
Answers
In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the beginning of stage 2 was 5,000 kilometers per hour. Its speed at the end of Stage 2 will be 25,000 kilometers per hour.
If t is the time, in minutes, from the beginning of stage 2, which equation could be used to determine how long it will take for the speed of the rocket to reach 25,000 kilometers per hour, assuming it increases at the same rate for all of stage 2?
A.
5,000 = 25,000(0.043)t
B.
5,000 = 25,000(0.957)t
C.
25,000 = 5,000(1.043)t
D.
25,000 = 5,000(1.43)t
Answers
A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *
Answers
Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Please help me with this
Answers
Answer: [tex]a_{n}=4n+-3[/tex]
Step-by-step explanation:
The way arithmetic sequences are usually written is:
[tex]a_{n} =a_{1} +(n-1)d[/tex]
[tex]a_{n}[/tex] is the the term you are looking for. It has an n because we aren't looking for a specific one.
[tex]a_{1}[/tex] is the first term of the sequence. In this case that is 1.
n is the term position. Meaning if you wanted to find the fifth term you'd sub 5 in for n.
d is the common difference. In this case it is 4.
Now we can sub these values in.
[tex]a_{n} =1 +(n-1)4[/tex]
We can simplify the right part of the equation.
[tex]a_{n} =1 +(n-1)4\\a_{n} =1 +(4)(n)-(4)(1)\\a_{n}=1+4n-4\\a_{n}=4n+1-4\\a_{n}=4n+-3[/tex]
Solve 16x + 8 ≥ 12x + 20
Answers
Answer:
x ≥ 4
Step-by-step explanation:
16x + 8 ≥ 12x + 20
Subtract 12 from both sides
4x + 8 ≥ 20
Subtract 8 from both sides
4x ≥ 16
Divide both sides by 4
x ≥ 4
you have a baker that is currently at 70°F what would happen if you added water to lower the temperature by 15°
Answers
Answer:
65
Step-by-step explanation:
easy
What is the perimeter of a trapezoid?Units
Answers
Perimeter =add up all sides.
Perimeter = 5+1+5+9
=20 units
Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds? Henry's design would result in a larger flower bed because its area would be 2,500 square feet. Liani's design would result in a larger flower bed because its area would be 2,500 square feet. Henry's and Liani's designs would result in flower beds with the same area. Henry's and Liani's designs are not possible with the given amount of wood.
Answers
Answer:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Step-by-step explanation:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
B. Liani's design would result in a larger flower bed because its area would be 2,500 square feet.
C. Henry's and Liani's designs would result in flower beds with the same area.
D. Henry's and Liani's designs are not possible with the given amount of wood.
Length of wood = 200 feet
Henry's square bed design = 200 feet / 4
= 50 feet
Note: A square has 4 equal sides, hence, the division by 4
Each side of the square bed = 50 feet
Area of the square bed = length ²
= (50 feet)²
= 2,500 square feet
Liani rectangular bed design
Length = 55 feet
Width = 45 feet
Note: adding of 2 length and 2 width = 200 feet
That is,
2(55) + 2(45)
= 110 + 90
= 200 feet of wood
Area of Liani rectangular bed design = length × width
= 55 feet × 45 feet
= 2,475 square feet
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Answer:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Step-by-step explanation: magic
Megan bought beads for $9.95. She received a 10% discount. She then paid, a sales tax of 6%. How much did she pay for the beads?
Answers
9.95 - .995 = 1.00 if you round up
9.95 - .1.00 = 8.95
8.95 x .06 = .54
8.95 + .54 = $9.49 the amount she paid for the beads
100 POINTS HELP! THIS IS A PROJECT. NOT IN A RUSH.
Describe how to find the terms mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative!
Answers
Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
Can anyone help me please I really need help.
Answers
Answer:
what do u need help with
Step-by-step explanation:
ANSWE PLEASEEEEEEEEEEEEEEE
Answers
Answer:
your answer is gonna be A!! <3
Step-by-step explanation:
1 Subtract 33 from both sides.
y-3=-2x
y−3=−2x
2 Divide both sides by -2−2.
-\frac{y-3}{2}=x
−
2
y−3
=x
3 Switch sides.
x=-\frac{y-3}{2}
x=−
2
y−3
Answer:
A
Step-by-step explanation:
Plssssss HELP ME WITH THIS
Answers
f(-3) => x= -3 in f(x)
g(6) => x=6 in g(x)
f(-3)=2(-3)^2 - 3(-3)
=2(9)+9
=27
g(6)= -2(6)+4
= -12+4
= -8
Therefore, f(-3)=27 and g(6)= -8
Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?
Answers
Answer:
15
Step-by-step explanation:
Number of packets shipped out = total weight of electrical supplies / weight of individual packets
[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]
to solve convert the mixed fractions to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15
altogether i have 10 bags of sweets. the mean number of sweets in the bag is 40
Answers
Answer the question : I don't get what the question is suppose to be
Step-by-step explanation:
