Answers
Step-by-step explanation:
Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.
I attached a picture of some of the missing values. That should help a little with visualizing.
Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.
The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.
Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.
Now you can make your surface area equation:
[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]
The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.
[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]
If there's anything you need me to explain further, feel free to comment :)
Answer:
[tex]SA=613.5m^2[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
Related Questions
What ya the y-intercept of the function f(x) = -2/9x + 1/3
Answers
Answer:
-2/9 would be the slope
1/3 would be the y-intercept.
Answer: C. 1/3
Mary wants to make a box she starts with a piece of cardboard whose length is 15cm and width is 10cm then she cuts them in congrats square with side 3cm at he four comes what is the area of the cardboard after she cuts the 4 comes
Answers
Answer:
V = 108 cm^3
the volume of the box is 108 cm^3
Corrected question;
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?
Step-by-step explanation:
The volume of a box V is;
V = length × breadth × height
V = l×b×h ......1
Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;
l = 15 - 2(3) = 9 cm
Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;
b = 10 - 2(3) = 4 cm
Height of the box is the length of the squares cut;
h = 3 cm
Substituting the values into equation 1;
V = 9 × 4 × 3 cm^3
V = 108 cm^3
the volume of the box is 108 cm^3
Solve it by factorisation method
Answers
Answer:
Hope it helped you.
Step-by-step explanation:
It was hard to type on a keyboard so I did it somewhere else...
Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 3 choices for her trip home.
If Elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?
Answers
Answer:
4/9
Step-by-step explanation:
The possibilities of transportation: (The first will be for morning, second will be for afternoon)
B, B
B, C
B, T
C, B
C, C
C, T
T, B
T, C
T, T
It is clearly seen that there are 9 transportation options.
(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)
Therefore, the probability that she will use a cab only once is 4/9.
A line passes through (-1,7) and (2,10) which answer is the equation of the line
Answers
Answer: -x + y = 8
Step-by-step explanation:
So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.
Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.
Lets plug in (2,10)
10 = 2 + b
10 - 2 = b
b = 8
So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.
-x + y = 8
HELP ME ASAP FOR BRANETEST I MEAN IT >_
Answers
Answer:1 1/6
Step-by-step explanation:
If PQRS is a rhombus, which statements must be true? Check all that apply.
Answers
Answer:
Options (B), (C) and (F) are correct.
Step-by-step explanation:
Properties of a rhombus,
1). All sides of a rhombus are equal in measure.
2). Both the diagonals of a rhombus are the perpendicular.
3). Diagonals bisect the vertex angles.
By these properties of a rhombus,
Option (B): PR is perpendicular to QS.
Option (C): ∠QPR ≅ ∠SPR
Option (F): PQ ≅ QR
Therefore, options (B), (C) and (F) are correct.
Answer:
B, C, F, and E are all correct.
Step-by-step explanation:
In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?
Answers
Answer:
8/17Step-by-step explanation:
From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;
sinC = opp/hyp = 15/17
opposite = 15
hypotenuse = 17
According to pythagoras theorem;
hyp² = opp²+adj²
17² = 15² + adj²
adj²= 17²-15²
adj = √64
adj = 8
Since cosC = adj/hyp
cosC = 8/17
The ratio of cos is 8/17
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!
Answers
Answer:
n= -11/5+ 3/5m
Step-by-step explanation:
Answer:
g(n) = [tex]\frac{5n+11}{3}[/tex]
Step-by-step explanation:
Given
3m - 5n = 11
Rearrange making m the subject
Add 5n to both sides
3m = 5n + 11 ( divide both sides by 3 )
m = g(n) = [tex]\frac{5n+11}{3}[/tex]
Hi...Could u plz help me...
Answers
Answer:
B and D I dont have time to explain
I am sorry.
Thanks for question
What is the slope of the line that passes through the points (4,7) and (5,3)?
Answers
where your slope is negative four
I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we start by plotting our two points.
We will call (4,7) point A and (5,3) point B.
Now daw a line that contains these points.
Now remember that the slope or m is equal to the rise/run.
So to get from point A to point B, we rise -4 units
and run 1 unit so our slope is -4/1 or -4.
Y’all mind to help a dumb asian?
Answers
Answer:
A is 62 b is 54 c is 62 and d is 62
And 7
Step-by-step explanation:
Since it equals to 180 you add 62 and 54 which gives u 118 then subtract it
Not sure about the second one
Answer:
7.
∠a = 64
∠b = 62
∠ c = 64
∠d = 54
8.
∠6 and ∠7
Step-by-step explanation:
7. I know bc opposite angles are equivalent.
8. I know bc supplementary angles are two anglers that add to 180 degrees, aka a straight line.
136 degrees is the same as what radians
Answers
Answer:
34/45 pi
Step-by-step explanation:
To change from degrees to radians, multiply by pi/180
136 * pi/180
34/45 pi
The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.
Answers
Answer:
hope this helps
2⁄6 + 4⁄8 + 3⁄4 = is what?
Answers
Answer:
2/6+4/8+3/4=19/12
(Decimal: 1.583333)
hope i helped
-lvr
Answer:
1 7/12
Step-by-step explanation:
2/6 + 4/8+3/4
Simplify the fractions
1/3 + 1/2 +3/4
The common denominator is 12
1/3*4/4 + 1/2 *6/6+ 3/4*3/3
4/12 + 6/12 +9/12
19/12
12/12 + 7/12
1 7/12
pls help me for brainliest answer answer needs to be correct
Answers
Answer:
a) 17, 29, 41, 53, 65....
b) 12n + 5
?????????????????????????
Answers
Answer:
[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]
Given:
[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]
To find:
[tex](f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]
Which graph represents y=3 square rootx +2 ?
Answers
Which of the following best describes perpendicular rays?
A. Rays that intersect
B. Rays that are coplanar
C. Rays that intersect at a right angle
D. Rays that never intersect
Answers
Answer:
C.
Step-by-step explanation:
Rays that intersect at a right angle (90° angle) are always perpendicular
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and Caleb each have two coupons. Each of them uses both of his coupons toward the cost of the repair. One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost. Omar and Caleb use their coupons in a different order, as shown below.
Answers
Answer:
854
Step-by-step explanation:
1000/15=66
1000-66-80=854
B oranges cost 60c. How much will 7 oranges cost
Answers
Answer: 53 c
Step-by-step explanation:
If 8 oranges cost 60c
7 oranges will cost (7 x 0.60) / 8 = 0.53
Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)
Answers
Answer:
(A)All real solutions
Step-by-step explanation:
Given the function g(x) shown on the graph
One of the points of the parabola is (-3.5, 0).
The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.
The other point of intersection is on the positive side between 0 and 1.
Therefore, g(x) has two solutions: One negative real number and one positive real number.
Therefore, g(x) has all real solutions.
The correct option is A.
Answer:
All solutions that lie on g(x)
Step-by-step explanation:
I took the test and that's the correct answer...
Use cross products to identify the equation needed to solve this proportion: 5/x = 2/9
Answers
Answer:
x=22.5
Step-by-step explanation:
We are given the proportion:
5/x=2/9
Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.
5*9=2*x
45=2x
2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.
45/2=2x/2
45/2=x
22.5=x
If we substitute 22.5 in for x, the final proportion will be:
5/22.5=2/9
Answer: 22.5 = x
Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.
11 + 11 = 4 22 + 22 = 16 33 + 33 = ?
Answers
Answer:
66
Step-by-step explanation:
Answer:
Answer will be 36
Step-by-step explanation:
11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)
TREC is a rectangle. What is the length of ET?
Answers
the sum of (x-1) + (2x+ 3) is 3x-2 correct?
Answers
Answer: no , the correct answer is 3x+2
Step-by-step explanation:
Remove parentheses.
x−1+2x+3
Collect like terms.
(x+2x)+(−1+3)
Simplify.
3x+2
Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equals 0.y = 0 x – y = 0 y = y equals StartFraction one-half EndFraction x.x
Answers
Answer:
its is C. X-Y= 0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plz let me know if this is incorrect
PLZ HELP QUICK PLZ
Find the arc length of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answers
Answer:
hope this helps you
Answer: it’s 11n
Step-by-step explanation: so we all know this is the answer people :^
someone help me find BC
Answers
Answer:
BC can be found after A and before D lol jkjk the answers 2.3
Step-by-step explanation:
sin(50°) = d / 3
sin(50°) = 0.766
0.766 = d / 3
Start with:
0.766 = d / 3
Swap sides:
d / 3 = 0.766
Multiply both sides by 3:
d = 0.766 x 3
Calculate:
d = 2.298
So BC = 2.298
Round to 2.3
Answer:
Answer:to find BC. u use sine because it is opposite divided by hypotenuse.
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3=2.298=2.30 to the nearest hundredth
Need help with this problem
Answers
Answer:
Start at the top. Place the numbers below it in a triangular pattern. Each number is the added numbers directly above it.
Step-by-step explanation:
Start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.
The horizontal sum's double each time.