Please help will mark brainliest!!
Find the surface area of each figure. Round to the nearest tenth if necessary.
Answers
Answer:
9 - 166.42m²
10 - 308.8cm²
Step-by-step explanation:
The first figure shown is a triangular prism
We can find the surface area using this formula
[tex]SA=bh+L(S_1+S_2+h)[/tex]
where
B = base length
H = height
L = length
S1 = base length
S2 = slant height ( base's hypotenuse )
The triangular prism has the following dimensions
Base Length = 4m
Height = 5.7m
Length = 8.6m
S1 = 4m
S2 = 7m
Having found the needed dimensions we plug them into the formula
SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )
4 * 5.7 = 22.8
4 + 7 + 5.7 = 16.7
8.6 * 16.7 = 143.62
22.8 + 143.62 = 166.42
Hence the surface area of the triangular prism is 166.42m²
The second figure shown is a pyramid
The surface area of a pyramid can be found using this formula
[tex]SA = A+\frac{1}{2} ps[/tex]
Where
A = Area of base
p = perimeter of base
s = slant height
The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself
So A = 8 * 8
8 * 8 = 64
So the area of the base (A) is equal to 64 cm^2
The perimeter of the base can easily be found by multiplying the base length by 4
So p = 4 * 8
4 * 8 = 32 so p = 32
The slant height is already given (15.3 cm)
Now that we have found everything needed we plug in the values into the formula
SA = 64 + 1/2 32 * 15.3
1/2 * 32 = 16
16 * 15.3 = 244.8
244.8 + 64 = 308.8
Hence the surface area of the pyramid is 308.8cm²
Related Questions
Can someone help me with this problem
Answers
Answer: x = 33°
Step-by-step explanation: A triangle's angles should all equal 180, so we can set up an equation to help us.
106 + 41 + x = 180
Add 106 and 41
147 + x = 180
Subtract 147 on both sides.
x = 33
And there you go :)
8/6 + (3/8 + x)(2) =
Answers
Answer:
2x+25/12
Step-by-step explanation:
Hope this helps and have a great day!!!!!
Sophie has a box filled with trail mix the box has a length
Answers
What is the theoretical probability of rolling anything other than a two on a fair six sided die?
Answers
Answer:
5/6 probability
Step-by-step explanation:
(PLZ I NEED HELP QUICLY) Angela lives in a remote area serviced by only two cell phone towers. Tower 1 is located 5 miles west and 2 miles south of her home and transmits a signal for 12 miles. Tower 2 is located 8 miles east and 7 miles north of her home and transmits a signal for 10 miles. Consider the location of Angela’s house to be (0, 0) on a coordinate grid. The system of inequalities represents this scenario.
Angela travels to a friend’s house, which is 4 miles east and 8 miles north of her house. Will Angela have cell phone service at her friend’s house?
A. Angela will not have any cell phone service.
B. Angela will have cell phone service from tower 1 only.
C. Angela will have cell phone service from tower 2 only.
D. will have cell phone service from both towers.
Answers
Angela will have cell phone service from tower 2 only , Option C is the answer.
What is an Inequality ?An inequality is an algebraic expression connected to another algebraic expression with an inequality operator.
The two inequalities given are
(x+5)² + (y+2)² ≤ 144
(x-8)² +(y-7)² ≤100
The inequalities are plotted on the graph
and the location of Angels's Friends ( 4 , 8) is also plotted
If this lies in the area of the Inequalities she will have signal.
At Angela's friends house she will have the signal of Tower 2 only.
Therefore Option C is the answer.
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Ms. Padilla is ordering art supplies for 90 students. She
orders 8 jars of paint for every 5 students and 10 sketch
pads for every 3 students.
Determine whether each statement about Ms. Padilla's order is true or false.
Select True or False for each statement.
Ms. Padilla orders 40 sketch pads.
O True
O False
оо
Ms. Padilla orders 144 jars of paint.
O True
O False
The ratio of sketch pads to jars of paint in Ms. Padilla's order can be written as
25 : 12
O True
O False
The ratio of jars of paint to sketch pads in Ms. Padilla's order can be written as
4:5.
o
O True
O False
Answers
2. False
3. False
4. True
Answer:
1. False
Sketch pads ordered: 10(90/3) = 10×30 = 300
2. True
Painting jars ordered: 8(90/5) = 8×18 = 144
3. True
(25×12)/(12×12) = 300/144
or
25/12 = 300/144 = 2.083..
4. False
Since the previous statement isn't 5:4 and it's true, then this statement is false.
Solve the inequality below and identify the correct answer: X - 2<-4
Answers
Explanation: Its really similar to solving an equation, so all I did was add 2 to both sides :)
Add 2
x - 2 + 2 < -4 + 2
x + 0 < -2
x < -2
To graph it would be an open circle above -2 with an arrow pointing to the left
A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that forms the bead?
Thanks in advance!
Answers
Answer:
216 cm³
Step-by-step explanation:
large prism volume = 6 x 6 x 8 = 288 cm³
small cutout volume = 3 x 3 x 8 = 72 cm³
288- 72 = 216 cm³
What is the area of this polygon?
Answers
The middle is a square with side length of 12cm
Area of the square = 12 x 12 = 144 cm^2
There are 4 triangles with base of 13cm and height of 8 cm
Area of triangle = 1/2 x base x height
Area = 1/2 x 12 x 8 = 48cm^2 each
48 x 4 = 192 cm^2
Total area = 144 + 192 = 336 cm^2
4 people can dig a trench in 3 hours.
How long would it take 9 people?
Give your answer in minutes.
Answers
Answer:
80 minutes.
Step-by-step explanation:
do I need to explain? I hate explaining :(
What does the best fit line estimate for the y value when x is 100
Answers
The best fit line estimate for the y value when x is 100 in this case is 205.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To determine what the best fit line estimate for the y value is when x is 100.
Assuming that you have a linear regression model with the equation y = mx + b, where "m" is the slope and "b" is the y-intercept, you would need to know the values of "m" and "b" to estimate the y value for a given x value.
If you have these values, you can substitute x = 100 into the equation and solve for y.
The resulting value will be the estimated y value for the given x value.
If the equation of the best fit line is y = 2x + 5, then the estimated y value when x is 100 would be:
y = 2(100) + 5
y = 200 + 5
y = 205
Hence, the best fit line estimate for the y value when x is 100 in this case is 205.
To learn more on Equation:
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what is the measure of ∠x?
Answers
Answer:
83°
Step-by-step explanation:
WZ is a straight line. Angles at a straight line add up to 180°.
180 - 97 =83°
Help me plz!! I need help and NO FILES PLZZZZZZZ!
Answers
Answer:
1
EXPLAINATION:
y = mx +b
b = y intercept
Which of the following is one solution to the expression (ax + b)(cx - d) = 0 ?
A. −b
B. d
C. −b/a
D. −d/c
Answers
Write a [tex]y=\frac{4}{5}x-2[/tex] in standard form using integers.
Answers
Answer:
4x-5y=10
Step-by-step explanation:
The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in years. A fossil bone contains 25% of its original carbon-14. What is the approximate age of the bone?
Answers
Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
[tex]\frac{y}{a} = e^{-0.00012\cdot t}[/tex] (1)
Where:
[tex]y[/tex] - Current amount of carbon-14, no unit.
[tex]a[/tex] - Initial amount of carbon-14, no unit.
[tex]t[/tex] - Time, in years.
If we know that [tex]\frac{y}{a} = 0.25[/tex], then the approximate age of the bone is:
[tex]t = -8333.333\cdot \ln \frac{y}{a}[/tex]
[tex]t\approx 11552.453\,yr[/tex]
The approximate age of the bone is approximately 11552 years.
Edward wrote a pattern starting at 0 and following the rule "add 2." . Juan wrote a pattern starting at 0 and following the rule "add 6." Which pair of patterns below represents that of Edward and Juan?
E: 1, 3, 5, 7, 9, ... J: 1, 7, 13, 19, 25, ...
E: 2, 4, 6, 8, 10, ... J: 6, 12, 18, 24, 30, ...
E: 0, 2, 4, 6, 8, ... J: 0, 6, 12, 18, 24, ...
E: 0, 2, 4, 8, 16, ... J: 0, 3, 9, 27, 81, ...
Answers
Answer:
the third option
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
they both started at 0 and added 2 and 6 respectively
___ divided by 3x3 =12
Answers
Answer:
108
Step-by-step explanation:
Answer:
108 hope this helps! :)
Joe has 3 1/4 gallons of punch. He adds 1 1/2 quarts of juice to the punch . He drinks 1/4 quarts of punch . Which expression can be used to fine the number of quarts of punch joe has left
Answers
Answer:
13 + 1 1/2 - 1/4
Step-by-step explanation:
1 gallons = 4 quarts
3 1/4 = 13/4 x 4 = 13
Quarts left = original quart + quart added - quart drunk
13 + 1 1/2 - 1/4
PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED
Answers
Answer:
first, second and fourth are all correct
Step-by-step explanation:
does anyone here know how to write negative 1 on there
Answers
Answer:
you fo to the fourth box on there and put - then go to the box after that and put 1
Step-by-step explanation:
sorry if im wrong
5 in=? feet fraction form
Answers
divide 54 books between A and B in the ratio 13:14
Answers
Answer:
hi
Step-by-step explanation:
i think,
13:14=54
13k+14k=54
27k=54
k=54/27
k=2
13×2=26 and 14×2=28
to verify the correctness of the answer-26+28=56
have a nice day
hope it helps
The ratio of the divide is mathematically given as
26:28
What is the ratio of the divide?Question Parameters:
divide 54 books between A and B in the ratio 13:14
Generally, ratios are mathematically given as
X=13/27*54
X=26
Y=14/27*54
Y=28
In conclusion, the ratio of the divide would be
26:28
Read more about Arithmetic
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Over the past month, a garment manufacturer produced 800 dresses. The distribution of the amount of fabric required to make the dresses is
not normal.
The average amount of fabric needed to make a dress is 4 yards, with a standard deviation of 2 of a yard. Suppose a series of samples, each
containing 180 dresses, are selected from the dresses produced in the past month.
Would it be appropriate to model the distribution of a sample mean with a normal model?
Answers
Answer:
Yes it will be appropriate to model the distribution of a sample mean with a normal model
Step-by-step explanation:
Given that the population is not normal, and the sample is sufficiently large, according to the Central Limit theorem, the distribution of the mean pf the sampling distribution will be approximately normal not withstanding the population from which the sample is obtained. Therefore, the mean, [tex]\overline x[/tex], and the standard deviation, [tex]\dfrac{\sigma}{\sqrt{n} }[/tex], of the sample will be equal to the mean, μ, and standard deviation, σ, of the of the population
Therefore, it will be appropriate to model the distribution of a sample mean with a normal model
Answer:
yes
Step-by-step explanation:
i got it right on plato
what’s the answer ??
Answers
Answer:
answer A shows a rotation
A because B is a mirror, c is a translation
find the angles marked with a letter
Answers
Answer:
Step-by-step explanation:
O;B
someone help please!! oh and pls don’t put any links
Answers
Answer:
10 visits
Step-by-step explanation:
So first let's make an equation, 7.74x + 8.93= 86.33. When you solve for x you get 10.
simplify leaving your answer in the standard form
[tex] \frac{0.0225 \times 0.0256}{0.0015 \times 0.48} [/tex]
Answers
Answer:
0.8 is the standard form
Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.
Answers
Answer:
not a right triangle
Step-by-step explanation:
you can use the pythagorean theorem to prove whether not this is a right triangle
if this triangle is a right triangle then the following equality should be true
a²+b²=c²
(9.75)²+(3.45)²=(10.24)²
(95.06)+(11.90)=(104.86)
106.96≠104.86
since the following equality is not true, this is not a right triangle.
12!!! POINTS “what is the mode” question!
Answers
Answer:
The mode is 23
Step-by-step explanation: