Answers
Answer:
Option B, [tex]396\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom
[tex]A = l * w[/tex]
[tex]A = 12\ units * 8\ units[/tex]
[tex]A = 96\ units^2[/tex]
Step 2: Determine the area of the back
[tex]A = l * w[/tex]
[tex]A = 9\ units * 8\ units[/tex]
[tex]A = 72\ units^2[/tex]
Step 3: Determine the hypotenuse
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex]12^2 + 9^2 = c^2\\[/tex]
[tex]144 + 81 = c^2[/tex]
[tex]225 = c^2[/tex]
[tex]\sqrt{225} = \sqrt{c^2}[/tex]
[tex]15 = c[/tex]
Step 4: Determine the area of the top
[tex]A = l * w[/tex]
[tex]A = 15\ units * 8\ units[/tex]
[tex]A = 120\ units^2[/tex]
Step 5: Determine the area of the triangles
[tex]A = \frac{h\ *\ b}{2}[/tex]
[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]
[tex]A = \frac{108\ units^2}{2}[/tex]
[tex]A = 54\ units^2[/tex]
Step 6: Determine the surface area
[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]
[tex]396\ units^2[/tex]
Answer: Option B, [tex]396\ units^2[/tex]
Related Questions
Flying against the wind, an airplane travels 2610 kilometers in 3 hours. Flying with the wind, the same plane travels 8750 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
Answer:
200 km/hr
Step-by-step explanation:
Let Va = the velocity of the airplane
Let Vw = the velocity of the wind
When flying with the wind:
(Va+Vw)*(4 hours) = 4000
4Va + 4Vw = 4000
4Vw = 4000 - 4Va
Vw = 1000 - Va
When flying against the wind:
(Va-Vw)*(7 hours) = 4200 km
7Va - 7Vw = 4200
Substitute 1000-Va for Vw and solve for Va:
7Va - 7(1000-Va) = 4200
7Va -7000 + 7Va = 4200
14Va = 11200
Va = 800 km/hr
Rate of wind:
Vw = 1000 - Va = 1000 - 800 = 200 km/hour
Help me with this im confused
Answers
Answer:
y=6x
Step-by-step explanation:
1. find the slope m. Pick two points on the line, such as (0,0) and (1,6). Plug those points into the slope formula.
m=change in y/change in x
m=6-0/1-0 Plug in (0,0)(1,6)
m=6/1 simplify
m=6
The slope is 6
2. Find the y-intercept. Since the line crosses the y-axis at 0, the y-intercept is 0.
3. Use the slope m=6 and the y-intercept b=0 to write the equation in slope-intercept form.
y=mx+b
y=6x+0 Plug in m=6 and b=0
y=6x
what is the equation that represents the sentence, twenty four is the sum of a number and six use x for the variable
Answers
Answer:
24 = x + 6
Step-by-step explanation:
24 = x + 6
Find the value of x
Please answer ASAP!!!!!
Answers
Answer:
x = 8
Step-by-step explanation:
24x = 6 x 32
24x = 192
x = 192/24
x = 8
what is the greatest ten you can multiply by 2 to get close to but not over 58?
Answers
Answer:
20
Step-by-step explanation:
20 x 2 =40
40 is under 58 and the closest to 58
the next 10 is 30 and 30 x 30 is over 58 with 60
A newborn baby weighs 3.136 times 10 superscript 3 units. which unit of measure was used? grams ounces pounds tons
Answers
Answer:
its A
Step-by-step explanation:
have you smiled today? its very important:)
Answer:
A
Step-by-step explanation:
A cheetah can run for a short time at 3 m/s (70 mph). How far can it travel in 19 s?
distance =
Answers
Answer: 57m
Step-by-step explanation: Speed is 3m/s
Time is 19seconds
distance =speed × time
Distance = 19 × 3
Answer:
57 m.
Step-by-step explanation:
In 1 second it can run 3 m
So in 19 s it can run 3*19
= 57 m.
please help me outt on this round to nearest tenth
Answers
What is the largest circle contained in a triangle where the center of the circle is the incenter of the triangle?
Answers
Answer:
In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter.
Find the measures of x and y.
2.
145°
55°
Answers
Answer:
x = 35° , y = 90°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
145° is an exterior angle of the triangle , then
y + 55° = 145° ( subtract 55° from both sides )
y = 90°
the sum of the 3 angles in a triangle = 180° , then
x + y + 55° = 180°
x + 90° + 55° = 180°
x + 145° = 180° ( subtract 145° from both sides )
x = 35°
Your cousin's age is the cube of your little sister's age. If your
cousin is 8 years old, how old is your little cousin?
Answers
Answer:
2
Step-by-step explanation:
2 times 2 times 2 equals 8
Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81
Answers
Answer:
27<AB<81
Step-by-step explanation:
The sum of two sides of a triangle have to be than the length of the third side. 27+54 is 81, so the AB has to be less than 81. Now, to find the minimum, I can say 27+x has to be greater than 54, so x has to be greater than 27. Therefore, the answer has to be between 27 and 81, so the 2nd one is correct.
Answer:
B. 27 < AB < 81
Step-by-step explanation:
Nice
If 12(x -7) = -11 then x =?
Answers
Answer:
x = 73/12
Step-by-step explanation:
Given:
[tex]\displaystyle \large{12(x-7)=-11}[/tex]
Distribute 12 in x-7:
[tex]\displaystyle \large{12x-84=-11}[/tex]
Add both sides by 84:
[tex]\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}[/tex]
Divide both sides by 12:
[tex]\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}[/tex]
Therefore, the solution is x = 73/12
Answer:
[tex]\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]
Step-by-step explanation:
[tex]12(x - 7) = -11[/tex]
Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .
[tex]12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11[/tex]
Bring -84 to the right hand side of the equation. Then,
[tex]12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
What fraction of 720 is 80
Answers
Answer:
9/36.Step-by-step explanation:
Fraction:
80/720Simplify:
80/720= 9/36Answer would be 9/36.
Helppppppp
Miguel thinks that his data do not support the article's claim because 63.5%
of the students who made the honor roll at his school do not exercise.
Using data from the table, explain what is wrong with Miguel's reasoning.
Answers
The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Miguel thinks that his data do not support the article's claim because 63.5% of the students who made the honor roll at his school do not exercise.
The percentage of the students who do not exercise will be
[tex]\rm P = \dfrac{112}{160} \times 100\\\\P = 70\%[/tex]
The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Someone pls help me I don't know what to do
Answers
Answer:
14 in
Step-by-step explanation:
area cylinder= area of base × height of cylinder
area of cylinder = (pi × radius²) × H
(sub in values )
196×pi = (pi x r²) × 1
(196×pi)/1 = pi × r²
(196×pi)/pi = r²
(pics cancel each other )
then, square root 196= r
14 in = radius
Find the volume of this triangular prism.
6 cm
7 cm
10 cm
Answers
Answer:
L×W×B
10×7×6
=420cm of triangular prism
HELP will give brainliest
complete the worksheet 2-18
Answers
Answer: 1/10, 1/7, 2/9, 2/5, 7/11, 1/4, 1/10, 1/7, 1/9, 1/2 , 1/8, 1/12, 0/1, 0/0
1/13, 1/3, 1/4
Step-by-step explanation: i think i know all the answers
Need help plezzzzzzzzzzzzzzzz
Answers
Answer:
The answer is B. 60°
Step-by-step explanation:
The Unit Circle.
A = sin^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex]) = 60°
which number has the least value? (a) 5.61 (b) 16.5 (c) 56.1 (d) 51.6
Answers
Answer:
(a) 5.61
Step-by-step explanation:
Rearrange from smallest to largest:
☟︎︎︎
5.61 < 16.5 < 51.6 <56.1
Solve for x. Your answer must be simplified
x/7 ≥ -6??
Answers
X>_42
Explanation:
If tan 8
3
what does sin 8 = ?
4
Answers
Answer:
The answer is option B
3/5
Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?
Answers
By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.
How to apply a scale factor?The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.
We have:
8 in = 10ft
1 ft = (8/10) in
This means that each feet in the real life, will be represented with (8/10) inches in the model.
Now we know that the real height is 12ft, then the model's height will be:
12* (8/10) in = 9.6 in
So the correct option is B.
If you want to learn more about scale factors, you can read:
https://brainly.com/question/3457976
Answer:
9.6
Step-by-step explanation:
took usatest prep got a 100%
Solve based on the diagrams.
2. What is the mode of this data set?
Answers
Answer:
5 is the mode of the data set.
Step-by-step explanation:
When finding the numbers of a bar graph like this, we count each x and the placement to find the number and amount of times it is shown.
Ex. There is 4 x's above 5. Meaning there are four, 5's. 5, 5, 5, 5.
The mode of a data set, is the number that appears the most often.
So, we can see that the 5 has the most x's, we know that 5 apears the most. Making 5, the mode.
Apply the 45°-45°-90° Triangle Theorem to find the length of a leg of a right triangle if the length of the hypotenuse is 8/2
inches.
Answers
Answer:
d
Step-by-step explanation:
d
Describe the transformation that maps the pre-image (ΔA) to the image (ΔA').
Answers
Step-by-step explanation:
90 degrees rotation, clockwise
Point A is located at (-6, 5). After it is transformed, point A' is located at (6, 5). What could the transformation be?
A reflection in the x-axis
A reflection in the y-axis
A transiation 12 units Up
A translation 12 to the right
Answers
Answer:
A reflection on the y axis, and 12 units to the right
Step-by-step explanation:
This is true because if you translate something from one variable, you are going over the second variable.
Explanation:
The sales of new products over time are found to follow a quadratic model before dropping off to zero at the end of the product’s lifetime. A new product is released with sales modeled by the equation
S
=
−
(
t
−
3
)
2
+
81
, where S represents the sales in millions of dollars and t represents the number of years the product will be sold. According to the equation, what will be the lifetime of this product?
Answers
The sales equation of the product is an illustration of a quadratic function, and the lifeline of the product is 12 years
How to determine the lifeline of the product?The sales equation is given as:
S(t) = -(t - 3)² + 81
The lifeline of the product is when the sales hits 0.
This means that S(t) = 0
So, we have:
-(t - 3)² + 81 = 0
Subtract 81 from both sides
-(t - 3)² = -81
Divide both sides by -1
(t - 3)² = 81
Take the square root of both sides
t - 3 = 9
Add 3 to both sides
t = 12
Hence, the lifeline of the product is 12 years
#SPJ1
Read more about quadratic functions at:
https://brainly.com/question/1497716
write 4200 as a power whose base is e
Answers
Answer:
Step-by-step explanation:
First find the natural log of 4200: It is 8.343.
Then 4200 = e^8.343
On our vacation we traveled 416 miles using 16 gallons of gas how many miles were we able to go on 1 gallon of gas?
Answers
Answer:
26 miles per gallon
Step-by-step explanation:
Divide 416 by 16 to find miles per gallon :)