Use the right triangular prism to find the total surface area of the prism. Leave label off answer.
Answers
Step-by-step explanation:
the total surface area is the sum of the 5 individual areas in the surface :
2 triangle sides (left and right).
1 back rectangle side
1 rectangle floor
1 inclined rectangle front side
to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90° angle).
c² = 3² + 4² = 9 + 16 = 25
c = 5
so, now, we have everything we need.
the area of a triangle side (since it is right-angled) :
4×3/2 = 6
2 sides, that makes 12
the area of the back side
6×3 = 18
the area of the floor
6×4 = 24
the area of the inclined front side
6×5 = 30
so, the total surface area is
12+18+24+30 = 84
Related Questions
a circle is enlarged. the original had a radius of 10 cm. if the new circle has a radius of 30 cm, how many times bigger is the new circumference than the original?
Answers
Answer:
3 times bigger
Step-by-step explanation:
[tex]circumference \: of \: a \: circle \: has \: the \: formular \\ c = 2\pi \: r \\for \: the \: original \: circle \: c = 2 \times 3.14 \times 10 = 6.28 \\ = 63 \: approxiately \\ for \: the \: new \: circle \: c = 2 \times 3.14 \times 30 = 188.8 \\ = 188 \: approximately \\ them \: \frac{188}{63} =2.984 \\ = 3 \: approximately \\ therefore \: the \: bigger \: circumferene \: is \: 3 \: times \: the \: smaller \: circumference[/tex]
Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?
Answers
Answer: -3.274
Step-by-step explanation:
Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.
Since tan = sin/cos, its approximate value is 0.956/-0.292, which is about -3.274.
Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?
a 1 113 words
b 3 113 words
c 1 330 words
d 1 130 words
Answers
1hour=600
2hour=600+600
=1200words
Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.
Answers
answer:ok
there are 3 and one fith apples
he need 4
apples
he adds 5/8
apples to his basket
how many apples doess he end up with
Step-by-step explanation:you add them together
( Pls Help ASAP) 1 question 15 points))
Answers
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.
I hope this helps!
Please mark brainliest!!
Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]
Answers
Answer: 7(n + 1)(n - 1)
Step-by-step explanation:
[tex]7n^2-7[/tex]
[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]
[tex]=7n^2-7\cdot \:1[/tex]
[tex]$$ Factor out the common term 7[/tex]
[tex]=7\left(n^2-1\right)[/tex]
[tex]$$ Factor $n^2 - 1[/tex]
[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]
[tex]=n^2-1^2[/tex]
[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]
[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]
[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]
Below are two parallel lines with a third line intersecting them.
(Please help T-T)
Answers
Answer:
x = 136
Step-by-step explanation:
44 + x = 180
x = 180 - 44
x = 136
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answers
Answer:
1200
Step-by-step explanation:
600 in grams = 600 x 1000
= 6 x 10^5
(6 x 10^5) / 500 = 1200.
Answer:
1200 packets
Step-by-step explanation:
1 kg = 1000 gram
600 kg = 1000 × 600 = 600,000
now,
packets of tea were ( 600000 ÷ 1000) = 1200 packets
Scientists put marks on 72 moose as part of an effort to estimate the local moose population. Later, the scientists flew over the area and counted a total of 430 moose, of which 43 were marked. To the nearest whole number, what is the best estimate for the moose population?
Answers
Answer:
72x430/43
Step-by-step explanation:
three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?
Answers
Answer:
112
Step-by-step explanation:
Sum of interior angles in quadrilaterial = 360
360 - 100 - 104 - 44 = 112
Step-by-step explanation:
Let the 4th angle = x
Now,
x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)
x + 248 = 360°
x = 360° - 248
x = 112
Hence, the fourth angle is 112....
Andrew has $550 in a savings account that earns 5% annually how much will she earn in interest in 4 years
Answers
Answer:
110
Step-by-step explanation:
formula= P×T×R ÷ 100
550×4×5÷100
55×4×5÷10
1100÷10
$110
please help i am confused.
Answers
This is because C and F do not join on the shape
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find t, the amount of time he plays video games, for each of the 3 days.
Answers
Answer:
t < 1.5
Step-by-step explanation:
Mon-Thu: 5.5 hours
each of the remaining 3 days: t hours each day
total time: 3t + 5.5
The total time must be less than 10 hours.
3t + 5.5 < 10
3t < 4.5
t < 1.5
AB - CD + 2D x A x (AC - BD
also i know it says im old but im in middle school
b=4 a=3 c=6 d=2
Answers
12-12+4x3x(18-8)
12-12+4x3x10
12-12+120
12-132
=-120
How do I find the fraction that 480 is divided by to get 300
Answers
Answer: Final answer: :: written in four ways :: As an improper fraction (numerator larger than denominator): 480/300 = 8/5As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 480/300 = 1 3/5As a decimal number: 480/300 = 1.6As a percentage: 480/300 = 160%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar: 480/300The number above the bar is the numerator: 480 The number below the bar is the denominator: 300 The fraction bar means that the two numbers are dividing themselves: 480/300 = 480 ÷ 300 Divide the numerator by the denominator to get fraction's value: Value = 480 ÷ 300 'Percent (%)' means 'out of one hundred': p% = p 'out of one hundred', p% = p/100 = p ÷ 100 The fraction 100/100 = 100 ÷ 100 = 100% = 1 Multiply a number by the fraction 100/100, ... and its value doesn't change.To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF. To calculate the greatest common factor, we build the prime factorization of the two numbers. Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 480 = 25 × 3 × 5; 480 is not a prime, is a composite number; 300 = 22 × 3 × 52; 300 is not a prime, is a composite number; * Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.A proper fraction: numerator smaller than denominator. 8 ÷ 5 = 1 and remainder = 3 => 8 = 1 × 5 + 3 => 8/5 = (1 × 5 + 3) / 5 = (1 × 5) / 5 + 3 / 5 = 1 + 3/5 = 1 3/5 As a decimal number: 1 3/5 = 1 + 3/5 = 1 + 3 ÷ 5 = 1.6As a percentage: 1.6 = 1.6 × 100/100 = 160/100 = 160%The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.
Answers
Answer:
23 square meter from Nthabiseng Selina Tsolo
per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13
Answers
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
Please help me with this please and thank you
Answers
Answer:
B
Step-by-step explanation:
the common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4
Answer:
B 4
Step-by-step explanation:
Divide any number (other than the first one) in the sequence by the previous number.
12/3 = 4
48/12 = 4
Answer: B 4
A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?
Answers
Answer:
A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓
0.5 pounds x 7= 3.5 poundsStep-by-step explanation:
i dont understand this question im very bad at maths
Answers
so it’s 2400
2400cm³
Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex][tex]=300\times 8\\ =2400cm^3[/tex]
[tex](Analyze\ the\ information\ carefully)[/tex]
I hope this helps you
:)
Based on data from two very large independent samples, two students tested a hypothesis about equality of population means using α = 0. 2. One student used a one-tail test and rejected the null hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might have been their calculated value of t?
Answers
Based on the calculations, the most likely value of t is equal to 2.2.
Given the following data:
[tex]\alpha =0.2[/tex]What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];
[tex]H_o: P(Z > |\delta|) < 0.02[/tex]
For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];
[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]
Next, we would determine the positive value of z-score that satisfies this expression;
[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]
From the z-table, we have:
[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]
Therefore, t = 2.2.
Read more on null hypothesis here: https://brainly.com/question/14913351
If x = 5 when y = 12, find y when x = 10.
Answers
Answer:
y = 24
Step-by-step explanation:
We need to double the x value by 2 and when we do that we will get the y value .
12 x 2 = 24
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
y = 6
Step-by-step explanation:
Since x and y vary inversely, we have:
xy=k
For x= 5 and y = 12, we have:
⇒ 5×12=k
⇒ k= 60
For x= 10, we have :
⇒ 10y = 60
y = 60/10
y = 6
[RevyBreeze]
HELP!!!!!HELPPPPPPPPP!
Answers
Answer: answer C.
Step-by-step explanation: you have to add and divide
A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3
Answers
The volume of a cone with the same radius and height as the cylinder is 40cm³.
What is the volume of the cone?
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
n = 22/7r = radiusVolume of a cone = 1/3(nr^2h)
The volume of a cone, is 1/3 that of a cylinder.
Volume of the cone = 1/3 x 120 = 40
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
Answer:cool
Step-by-step explanation:
iono
In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount
Answers
Answer:
8 more pieces
Step-by-step explanation:
First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.
Hopefully this helps- let me know if you have any questions!
Round 77.1110969489 to the nearest hundred-thousandth
Answers
PLS HELP ILL MARK AS BRAINLIEST PLSS
Answers
Answer:
10%
Step-by-step explanation:
I think it's right lol but I could be wrong I forgot a lot of this stuff
but out of all the data it goes from 22-42 so 20 points in total
there is only 2 of the data points behind 24, so it is 2/20 or 10%
expand and simplify (x+3)(x+5)
Answers
Answer:
(x+3)(x+5)
x( x + 5) +3 ( x + 5)
x² + 5x + 3x + 15
x² + 8x + 15
what value of a makes this proportion 4/12 = a/27
Answers
Answer:
The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.
Answer:
a = 9
Step-by-step explanation:
[tex]\frac{4}{12}[/tex] = [tex]\frac{a}{27}[/tex] ( cross- multiply )
12a = 108 ( divide both sides by 12 )
a = 9
Given that PO and overline WE are equidistant from the center, determine the value of m and n in the circle below.
US = 3m + 2
RU = -m + 9
PO = 20 - 14
EW = -2(2m + 1)
Answers
Based on the equidistant chords theorem, the value of m and n in the circle are:
m = 7/4 = 1.75
n = 1/2 = 0.5
What is the Equidistant Chords Theorem?The equidistant chords theorem states that, two chords are congruent if they are equidistant to the center of the same circle.
Given:
US = 3m + 2 RU = -m + 9 PO = 20 - 14 EW = -2(2m + 1)Thus, since US = RU, therefore chords PO and EW are congruent based on the equidistant chords theorem.
Therefore:
3m + 2 = -m + 9
Add like terms
3m + m = -2 + 9
4m = 7
m = 7/4
m = 1.75
20n - 14 = -2(2n + 1)
20n - 14 = -4n - 2
20n + 4n = 14 - 2
24n = 12
n = 12/24
n = 1/2 = 0.5
Therefore, based on the equidistant chords theorem, the value of m and n in the circle are:
m = 7/4 = 1.75
n = 1/2 = 0.5
Learn more about equidistant chords theorem on:
https://brainly.com/question/9016531