Answer=12
Step-by-step explanation:
The area of a rectangle is h×b.
h=11
11×b=132
b=132/11=12 units
Jake has 900 cm³ of material. He uses 14. 5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4. How much more material does Jake need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jake needs an additional Choose. Cm³ of material to make the second prism.
A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.
Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,
[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]
Substitute the values,
[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]
Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).
Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,
The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake
The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³
= 42.5 cm³
Hence, the amount of more material that is needed by Jake is 42.5 cm³.
Learn more about Ratios:
https://brainly.com/question/1504221
Please Help I'm Confused.
Answer:
The last one
Step-by-step explanation:
Look at A and A'
It moved 4 units to the right and 1 unit down
The same with B, B' and C, C'
The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
102feets
Step-by-step explanation:
sin 65=92÷x
0.906=92÷x
x=102
4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.
The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.
Regular price in dollars (r)
40
45
50
55
Restaurant's price in dollars (p)
32
37
42
47
• Write an equation that represents the relationship.
С
응
р
8
Answer:
p = r-8
Step-by-step explanation:
40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants
Find the missing length of the triangle.
Answer:
11 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] (Pythagorean Theorem)
[tex]a^{2}[/tex] + [tex]4^{2}[/tex] = [tex](12\frac{1}{3})^{2}[/tex] (square numbers)
[tex]a^{2}[/tex] + 16 = 152 [tex]\frac{1}{9}[/tex] (subtract 16, both sides
[tex]a^{2}[/tex] = 136 [tex]\frac{1}{9}[/tex] (square root both sides)
a = 11 [tex]\frac{2}{3}[/tex] or 11.66 repeating
Use the function below to find f(-4).
fx) = 2^x
Answer:
1/16
Step-by-step explanation:
plug in -4 instead of the x.
if the exponent is negative it can be written as 1/2^4
so the answer is 1/16
please guys help me if u answer it correctly I will brainlist u
Answer:
1= 40, 25, 10
2= 9,375, 46,875, 234,375
3= 234, 729, 2,187
4= 192, 384, 768
How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?
Answer:
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Step-by-step explanation:
A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Answer:
Step-by-step explanation:
An example is a^2 - b^2.
Also 64 - 49 (as 64 are both perfect squares).
The way to factor is by using the identity:
a^2 - b^2 = (a - b)(a + b) ( a + in one parentheses and - in the other)
Examples:
x^2 - 4y^2 = (x - 2y)(x + 2y) [ x is the square root of x^2 and 2y is square root of 4y^2)
144 - 16 = (12 - 4)(12 + 4)
9x^2 - 36y^2 = (3x - 6y)(3x + 6y)
PLEASE HELP!!! will give brainlisest
Answer:
[tex]\sf \dfrac{x}{8}-22[/tex]
Explanation:
[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]
remove parenthesis
[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]
expand
[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]
simplify
[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]
Answer:
[tex]\frac18x-22[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac78x-4)-3(\frac14x+6)[/tex]
Expand:
[tex]\implies \frac78x-4-\frac34x-18[/tex]
Gather like terms:
[tex]\implies \frac78x-\frac34x-4-18[/tex]
Change 3/4 into eighths:
[tex]\implies \frac78x-\frac68x-4-18[/tex]
Combine like terms:
[tex]\implies \frac18x-22[/tex]
Question is in the picture:
Answer:
its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a
Step-by-step explanation:
Answer:
A ) the Value of t is greater than 8
Step-by-step explanation:
6t>48
t>48/6
t>8
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons
Answer:
B. 25,000 tons
Step-by-step explanation:
The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.
The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
Answer:
197.92
Step-by-step explanation:
radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)
12² is 144 so 144Pi
9² is 81 (for the inner circle) so 81Pi
144 - 8 is 63Pi which in decimal form is 197.92.
One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal
Please explain your answer.
The perimeter of the triangle described in statement has a measure of 56 units long.
How to determine the perimeter of a triangle
After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:
[tex]\frac{x}{7} = \frac{x+5}{9}[/tex] (1)
Now we solve the expression for x:
9 · x = 7 · x + 35
2 · x = 35
x = 17.5
And the perimeter of the triangle is determine by summing the three sides:
p = 9 + 7 + (17.5) + (17.5 + 5)
p = 56
The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823
2-y^2=-14 solve for y express answer as an integer or in simplest radical form
Answer:
8
Step-by-step explanation:
y^2=-16
y= -16/1 % 2/1
y=-16/1 % 1/2
y = 8
Answer:
y=4
Step-by-step explanation:
its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4
Please Help Will GIve Brainlest! Locks in 1 Hour!
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
{please mark me brainiest}
if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY
Answer:
Step-by-step explanation:
The diameter to answer 3.92 A=4 pi r2 d=2r
4x + y = 10
7x + 2y = 17
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
✿————✦————✿————✦————✿
:
=
=−
✿————✦————✿————✦————✿
:
* , . .
* ℂ - .
* .
* .
* / − +.
* − / + / , +=.
* - / + /
* /
* /
*
* − = -/ + /. , .
* -/ -
* / / . .
✿————✦————✿————✦————✿
pa brainliest kung ayaw, edi wag** char
What is m _BAC?
A) 40°
B) 60°
C) 70°
D) 80°
PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER
Hello!
[(4πr³)/3]/2
r = 7,5yd
[4 *3,14*7,5³/3]/2
=> 883, 125yds ³
i need help with this
Answer:
if c=1
then,
28-1×1×1+6=33
if c=2
then,
28-2×2×2+6=26
if c=3
then,
28-3×3×3+6=7
Expression: 28 - c^3 + 6
If c = 1...
28 - (1)^3 + 6
28 - 1 + 6
27 + 6
33
If c = 2...
28 - (2)^3 + 6
28 - 8 + 6
20 + 6
26
If c = 3...
28 - (3)^3 + 6
28 - 27 + 6
1 + 6
7
Hope this helps!
If two angles are supplementary and congruent, what is the measure of each angle?
100°
180°
90°
45°
Answer:
90
Step-by-step explanation:
supplementary angles equal 180 degrees and 90+90=180
Answer:
90°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°.
Congruent means the angles are equal to each other.
Since there are two angles, and they have to be equal to each other, we can divide 180° by 2 to find the measure of each angle.
180° / 2 = 90°
Both angles have a measure of 90°.
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
UM make a graph if you want so yea
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]
[tex]\\ \rm\rightarrowtail x=3,1[/tex]
Each glass mug below has a radius of 2 inches and a height of 3.75 inches. If the mugs are
sold in sets of 4, find the total surface area of the mugs, not including
the handles.
Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs
Mensuration of SolidsGiven Data
Radius r = 2 inchesHeight h = 3.75 inchesNumber of mugs = 4Total surface area of cylinder = 2πr(r + h)
TSA of 1 mug = 2*3.142*2(2+3.75)
TSA of 1 mug = 12.568(5.75)
TSA of 1 mug = 72.266 square inches
if the total surface area of one mug is 72.266 square inches
hence the total surface area of 4 mugs will be
= 72.266*4
= 289.064 square inches
Learn more about cylinders here:
https://brainly.com/question/9554871
Please help simplify fractions
Answer:
this is easy the a sewer is 12
i need help with this 3n-4=17 show work
Answer:
The value of n = 7
Step-by-step explanation:
=> 3n-4=17
=> 3n = 17+4
=> 3n = 21
=> n = 21/3
=> n = 7
Answer:
n=7
Step-by-step explanation:
1. Solve
3n-4=17
3n-4+4=17+4
3n=21
3n/3=21/3
n=7
2. Check
3x7-4=17
21-4=17
17=17
Correct!
3. Answer
n=7
You place some money in a savings account the savings account earns 2% simple interest. explain how you can find the interest earns after x years.
Please Help! Will Give Brainlest!
Answer:
y = - 1
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values , that is
maximum value = 2 and minimum value = - 4 , then
y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
equation of midline is y = - 1
Using your answer from #7, find the perimeter of the triangle.
Answer From #7: 9
Answer:
58
Step-by-step explanation:
x=9
3(9) + 1 + 4(9) -8 + (9) - 7 = 58
What is the measure of
Answer:
25
if j 25 L is going to be 25