The surface area of the triangular prism is 533.6 cm².
Surface area of a triangular prismSA = bh + (x + y + z)lwhere
b and h are the base and height of the triangular base. Therefore,
b = 12 cmh = 10 cmTherefore,
x = 12 cm
y = 10 cm
z = 15.6 cm
l = 11 cm
Therefore,
SA = 12 × 10 + (12 + 10 + 15.6)11
SA = 120 + (22 + 15.6)11
SA = 120 + (37.6)11
SA = 120 + 413.6
SA = 533.6 cm²
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1. 5m + zm + 5n + zn
Answer:
The question is not clear. Is this the complete question?
If the height of a parallelogram is 64.3 m and the base is 4.3m, what is the area of the parallelogram?
Answer:
Formula for area of a parallelogram;
a = bh
where b is the base, and h is the height
Our height is 64.3
Our base is 4.3
Now we multiply them:-
a = bh
a = 4.3 x 64.3
a = 276.49^2 meters
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?
There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.
Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone
Answer: C
Step-by-step explanation:
P - Value
Is the evidence against the null hypothesis.
The lower the p-value, the greater the chance of rejection of the null hypothesis.
The greater the p-value, the greater the chance to accept the null hypothesis.
So, in other words, the question asks the probability of having accepted a null hypothesis.
So using the above statement we can say that statement C is true.
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance of about 467.3 miles. A second flight option flies first to city C and then connects to A. The bearing from B to C is N28.7E, and the bearing from B to A is N60.7E. The bearing from A to B is S60.7W, and the bearing from A to C is N79.1W. How many more frequent flyer miles will Adam receive if he takes the connecting flight rather than the direct flight?
Answer:
The value is [tex] k =109.6 \ miles [/tex]
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is [tex]\theta_{BC} = N 28.7E[/tex]
The bearing from B to A is [tex]\theta_{BA} = N 60.7E[/tex]
The bearing from A to B is [tex]\theta_{AB} = S60.7W[/tex]
The bearing from A to C is [tex]\theta_{AC} = S79.1W[/tex]
Generally from the diagram
[tex]\theta_A = 180 - 60.7 -79.1[/tex]
=> [tex]\theta_A = 40.2 ^o[/tex]
Also
[tex]\theta_B = 32^o [/tex]
and
[tex]\theta_C = 180 - (\theta_A +\theta_B )[/tex]
=> [tex]\theta_C = 180 - (40.2 + 32 )[/tex]
=> [tex]\theta_C = 107.8 ^o[/tex]
Generally according to Sine Rule
[tex]\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}[/tex]
=> [tex]\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}[/tex]
So
[tex]\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}[/tex]
=> [tex]BC = 316.8 \ miles[/tex]
Also
[tex]\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}[/tex]
[tex]CA = 260 .1 \ miles [/tex]
Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
[tex]k = [CA +BC] - AB [/tex]
=> [tex] k = [260 .1 +316.8]- 467.3 [/tex]
=> [tex] k =109.6 \ miles [/tex]
A student purchases candy bars costing $1.46 each, including tax. She pays with a $20 bill and receives $8.32 back in change. How many candy bars does the student purchase?
Answer:
she purchased 8 candy bars
Step-by-step explanation:
first I would do 20-8.32=11.68
then i do 11.68 divided by 1.46=8
Which expression is equivalent to 9–2? –81 –18 startfraction 1 over 81 endfraction startfraction 1 over 18 endfraction
Answer:
Startfraction 1 over 81
Step-by-step explanation:
Answer:
C on edge
because i said so
A balance scale is perfectly balanced with 2 cans of soda on one side and 1 can of soda and 8 ounces of sand on the other . How much does each can of soda weigh?
The balance scale is perfectly balanced when it sits perfectly
The weight of each can of soda is 8 ounces
How to determine the weight of the soda canRepresent the weight of the can with x.
On the first side, where there are 2 cans of soda.
The weight is 2x
On the other side, where there is 1 can of soda and 8 ounces of sand
The weight is x + 8
Since the balance scale is perfectly balanced, then we have the following equation
2x = x + 8
Subtract x from both sides
x = 8
Hence, the weight of each can of soda is 8 ounces
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On this problem you have to state the problem and simplify the expression
DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs. How can you rewrite Felipe's expression using the Distributive Property? Felipe's expression can also be written as (5 × 20) + (5 × )
Answer:
Felipe's expression using the Distributive Property can be written as
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
Step-by-step explanation:
Distributive property states that:
a( b + c) = ab + ac
We are told in the question that:
DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs.
Therefore:
Felipe's expression using the Distributive Property can be written as:
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
b. What does the symbol QR represent?
A)line segment QR
B) angle QR
C) ray QR
D)line QR
Answer:
A or c
Step-by-step explanation:
it's one of dem I done dis on ireasy not the same thing tho
will give brainliest
Answer:
A' = ( 3+1,2+2) =(4,4)
B'=(4+1,5+2)=(5,7)
C'=(6+1,3+2)=(7,5)
hope you like the answer
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Answer this, please!
Help!!!
Answer:
64 degrees.
Step-by-step explanation:
Angle AC forms a straight line, which means it will be 90 degrees. We know the angle of AE is 26, and angle EF is 90 degrees, indicated by the small square in the corner. You take 180 (angle AC) - 26 (angle AE) 90 (angle EF) and are left with 64.
At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance. (Round your answer to the nearest tenth)
Answer:
120.62 feet
Step-by-step explanation:
Let the entrance be the origin (0,0). If the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). If the swings are located 23 feet west and 124 feet north of the entrance, its coordinates are (-23, 124).
We now find the distance from the swing to the Ferris wheel which for a pair of coordinates (x₁, y₁) and (x₂, y₂) is gotten from d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (-23, 124) and (x₂, y₂) = (95, 156).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(95 - (-23))² + (156 - 124)²]
= √[(95 + 23))² + (156 - 124)²]
= √[(118)² + (32)²]
= √[13924 + 1024]
= √14948
= 122.26 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 × 122.26/8 = 45.85 feet
To find the coordinates (x', y') of Jalen's point from the entrance, we subtract his distance from the Ferris wheel from the coordinates of the point of the Ferris wheel. So, (x', y') = (95 - 45.85, 156 - 45.85) = (49.15, 110.15).
So, Jalen's distance from the entrance is gotten from
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (0, 0) and (x₂, y₂) = (49.15, 110.15).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(49.15 - 0)² + (110.15 - 0)²]
= √[(49.15)² + (110.15)²]
= √[2,415.7225 + 12,133.0225]
= √14,548.745
= 120.62 feet
A new car is purchased for 20700 dollars. The value of the car depreciates at 13. 75% per year. What will the value of the car be, to the nearest cent, after 12 years?.
Answer:
13,452 is the value after 12 years
Step-by-step explanation: because
conner edits 34 pages in 8 hours
Answer:
good for conner
Step-by-step explanation:
yaaay
What is the value of y?
A. 120°
B. 66°
C. Cannot be determined
D. 60°
Answer:
60
Step-by-step explanation:
all sides are equal
The value of y is 60. so the answer is D. 60°.
In a triangle, the sum of all angles is always 180 degrees.
If two angles of a triangle are 60 degrees each, the third angle can be found by subtracting the sum of the other two angles from 180 degrees.
So, the third angle would be:
60 + 60 + y = 180
y = 180° - 60° - 60°
y = 60°
Therefore, the value of the third angle, which is represented by y in this case, is 60°.
Therefore, correct answer is D. 60°.
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I need help with my math homework please!!
Question:There are 4 squares and 6 circles. What is the simplest ratio of squares to circles?
Which expression is equivalent to 24^1/4
Answer:
[tex]2\sqrt[3]{3}[/tex]
explanation:
[tex]\rightarrow \sf 24^{\frac{1}{3}}[/tex]
[tex]\rightarrow \sf \sqrt[3]{24}[/tex]
[tex]\rightarrow \sf \sqrt[3]{2*2*2*3}[/tex]
[tex]\sf \rightarrow \left(2^3\cdot \:3\right)^{\frac{1}{3}}[/tex]
[tex]\sf \rightarrow 2\cdot \:3^{\frac{1}{3}}[/tex]
[tex]\sf \rightarrow 2\sqrt[3]{3}[/tex]
Answer:
Step-by-step explanation:
24^(1/3)
=(8*3)^(1/3)
=(8)^(1/3)*(3)^(1/3)
=(2^3)^(1/3)*3^(1/3)
=2*(3)^(1/3)
or [tex]2\sqrt[3]{3}[/tex]
What is the measure of
Answer: 180 - 143 = 37
37 + 61 + angle b = 180( angle sum property )
b= 180-98
B = 82
Step-by-step explanation:
what is the slope of the line that has a y-intercept of -1?
Answer:
it should be either x or y
Step-by-step explanation:
you only said one number...
find the value of x plz and thxs will mark brainliest
Answer:
x = 15
Step-by-step explanation:
The given angles are same- side interior angles and are supplementary, thus
6x + 7 + 3x + 38 = 180, that is
9x + 45 = 180 ( subtract 45 from both sides )
9x = 135 ( divide both sides by 9 )
x = 15
Answer:
x = 15
Step-by-step explanation:
these two angles are actually supplementary, which means they add up to 180.
using this, you can make this equation:
3x + 38 + 6x + 7 = 180
combine like terms.
3x + 6x + 38 + 7 = 180
9x + 45 = 180
subtract 45 from both sides.
9x = 135
divide both sides by 9
x = 15
For a given input value a, the function f outputs a value b to satisfy the following equation.
-3a+6b=a+4b
Write a formula for f(a) in terms of a
Answer:
ok
Step-by-step explanation:
-3a + 6b = a + 4b
we move both values to the same side
6b – 4b = a + 3a
subtracting 6 from 4 gives us 4, and a 1 plus 3 gives us 4
2b = 4a
divide 4 on both sides to solve for a and to get a by itself.
1/2=a
please mark as brainlest.
Hey there!
Let's solve for a.
[tex] \fbox{−3a+6b=a+4b}[/tex]
Step 1: Add -a to both sides.
[tex] \fbox{−3a+6b+−a=a+4b+−a}[/tex]
[tex] \fbox{−4a+6b=4b}[/tex]
Step 2: Add -6b to both sides.
[tex] \fbox{−4a+6b+−6b=4b+−6b}[/tex]
[tex] \fbox{−4a=−2b}[/tex]
Step 3: Divide both sides by -4.
[tex] \fbox{−4a/−4 = −2b/−4}[/tex]
[tex] \fbox{a= 1/2b}[/tex]
Answer:
[tex] \fbox{a= 1/2b}[/tex]
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Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8
The inequality that represents the solution of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4, the correct option is B.
What is an Inequality?An inequality is a statement that is formed when two expressions are joined using an inequality operator.
The inequality is -2(3x + 6) ≥ 4(x + 7)
To find the solutions, the inequality has to be simplified.
Solving the inequality by using Distributive Property,
-6x -12 ≥ 4x +28
Adding (+12) on both sides of the inequality
-6x ≥ 4x +28 +12
Adding (-4x) on both the sides of the inequality
-6x + (-4x) ≥ 40
-10x ≥ 40
Dividing 10 on both the sides
-x ≥ 4
Reversing the sign of the inequality to remove the negative sign of x
x ≤ -4
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PLEASE SOLVE DUE RIGHT NOW!!!!!!!!!!!!
Solution:
We know that:
[tex]Area \ of \ triangle = \dfrac{1}{2} \times Base \times Height[/tex]
Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.
[tex]Area \ of \ triangle = \dfrac{1}{2} \times 18 \times24[/tex]
Cancel out the "2" by dividing it by 18.
[tex]Area \ of \ triangle = 9 \times24[/tex]
Simplify the multiplication.
[tex]\bold{Area \ of \ triangle = 216 \ ft^{2}}[/tex]
estimate the following percentages of 60
10% = ___
25% = ___
50% =___
20% =___
please help 100 points please
Solution:
We know that:
Area of trapezoid = (a₁ + a₂)h/2a₁ = 8 inches; a₂ = 8 + 4 + 4 inches; Height = 6 in.This means that:
Area of trapezoid = (8 + 8 + 4 + 4)6/2Step-by step calculations:
Simplify the numerator:
Area of trapezoid = (8 + 8 + 4 + 4)6/2=> Area of trapezoid = (24)6/2Cancel the denominator:
=> Area of trapezoid = (24)3Simplify the term:
=> Area of trapezoid = 72 in²Area:-
[tex]\\ \rm\rightarrowtail 1/2(sum\:of\: parallel\:sides) Height [/tex]
[tex]\\ \rm\rightarrowtail 1/2(16+8)(6)[/tex]
[tex]\\ \rm\rightarrowtail 3(24)[/tex]
[tex]\\ \rm\rightarrowtail 72in^2[/tex]
Thirty percent of what number is 13.5?
Answer:
Well we can take this word for word into an expression
thirty percent of which is basically
0.3 *
We have an unknown number (what number) lets make that unknown number x
0.3 * x
And we want to know what is 13.5 which basically means equal 13.5
0.3 * x = 13.5
We solve for x
Solve from here.
I’m gonna multiply 10 on both sides
3 * x = 135
Now solve
x = 45
The frequency table below shows the amount of left and right handed people there are in the 3rd grade. How many total right handed students are there?
5 times - 2+7 times +12 ?
[its algebra]
Answer:
5(-2+7+12)
-10+35+60
-10+95
=85
HELP I NEED 75% of 1300
Answer: 975
Step-by-step explanation: hope this helped!
Answer:
975
Step-by-step explanation:
Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975