The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².
What is the area?The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.
The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,
[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]
Substitute the dimensions we will get,
[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]
[tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]
Hence, the total surface area of this triangular prism is 1,782 cm².
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Brain teaser what is two plus two minus two plus four divided by two?
Answer:
4
Step-by-step explanation:
2+2-2+4÷2
we go through
P- parentheses
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
also note that we read it from left to right becaue × is not more important than ÷ and same goes to + and -
First step
2+2-2+(4÷2) --> 2+2-2+2
then
2+2-2+2 --> 4-2+2
then
4-2+2 --> 2+2
finally
2+2=4
Answer:
4
Step-by-step explanation:
Anita said, "I'm leaving school today at 1:15."
Frank replied, "I was able to fool the nurse into letting me leave early once, but I got in trouble when she found out I was faking.
What form of punctuation is missing?
A.
quotation marks
B.
There is no missing punctuation.
C.
a semicolon
D.
a colon
Answer:
A
Step-by-step explanation:
The quotation mark is missing at the very end of the last quote right after:
I was faking.
Answer:
i think A
Step-by-step explanation:
The quotation mark is missing at the very end
-y + 2y = what ? Please help and why is it negative or positive ?
Step-by-step explanation:
-y is the same as writing -1y. if we forget about the y’s, -1 + 2 = 1. so -1y + 2y = 1y, or just y to be simpler :)
i hope this helps :)
[tex]-y+2y=2y-y=(2-1)y=y[/tex]
It is positive because the coefficient is positive.
What is x?
ONLY WRITE A NUMBER FOR YOUR ANSWER
If you need to round, round to the nearest tenth (one decimal place).
Please help, thank you!
Answer:
15
Step-by-step explanation:
to get from 10 to 25 you time by 2½
so then times 6 by 2½ and the answer is 15
PLEASE HURRY!!!
A bag contains 4 red pencils, 6 blue pencils, and 5 green pencils. A pencil is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 1350 times. How many times is it expected that a green pencil will be selected?
A. approximately 360 times
B. approximately 450 times
C. approximately 540 times
D. approximately 900 times
Answer:
450
Step-by-step explanation:
1. Based on the given conditions, formulate:
1350 x 5 ÷ (5 + 4 + 6)
2. Calculate
[tex]\frac{1350x5}{5 + 4 + 6}[/tex] The numerator is 1350 multiply by 5
[tex]\frac{6750}{5 + 4 + 6}[/tex]
[tex]\frac{6750}{15}[/tex]
Answer: 450
Cassie uses her phone 2 1/4 times as much as Margaret every day. If Margaret averages 1 2/3 hours of phone use per day, how much time does Cassie spend?
What is the exact value of cos(-60°)?
V3
2
Ni-
을
V3
2
Applying the cosine ratio of trigonometry, the exact value of cos(-60°) which equals cos (π/3) is: C. 1/2.
What is the Cosine Ratio?In trigonometry, the vaue of the cosine ratio is the cosine of the reference angle which equals the ratio of the adjcent side over the hypotenuse.
To get the exact value of cos(-60°), convert 60 to radians.
π radian = 180
60° = (π/3) radians
Note: cos (-θ) = cos θ
Therefore, cos (-π/3) = cos (π/3)
cos (π/3) = 1/2
The exact value of cos(-60°) = 1/2 (option C).
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Pythagorean Theorem
solve for the missing side . Round to the nearest 10th
I NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD
Answer:
\sqrt{45}
Step-by-step explanation:
A^2+B^2=C^2
36+?=81
81-36=45
[tex]\sqrt{45}[/tex]=
Answer:
6.7 mmStep-by-step explanation:
Pythagorean Theorem
a² + b² = c²Here, we are missing one of the altitudes, so we can arrange the equation to form :
a² = c² - b²Solving
UW² = VW² - UV²UW² = (9)² - (6)²UW² = 81 - 36UW² = 45UW = √45UW = 6.7 mmThe speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
Answer:
540
Step-by-step explanation:
Answer:
533.3mph
Step-by-step explanation:
= #7 i
In the diagram, ARST ~ AXYZ . Find the scale factor from
ARST to AXYZ. Write your answer in simplest form.
S
Y
CO
3
R 4
T
21
10.5
Х
14
Z
Answer:
b
Step-by-step explanation:
Which point is a point where the graph of [tex]y=(x-5)(x^2-7x+12)[/tex] crosses the x-axis?
Answer: C. (4, 0)
Step-by-step explanation:
We can graph the equation given to solve. See attached.
The answer to this question is C. (4, 0)
Please solve the following thank you so much math experts
Answer:
4) 97%
6) 13%
Step-by-step explanation:
4) We are given that 3% for 250 million are diesel.
100% - 3% = 97% NON DIESEL cars
97% of 250 million is 242.45 million.
______________________________
6) We know that 17% (buses) and 70% (cars) are part of that total.
We also know that the total needs to be 100%
So, we simply do this:
100 - (17+70) = 13 (%)
So, 13% of the survey participants had bikes
I need help solving please do not report this question I need the answer I will give 30 points a heart 5.0 stars and brainlest
Answer:
280 m³
Step-by-step explanation:
Volume of a Triangular Prism
V = 1/2BHLSolving
V = 1/2 x 7 x 8 x 10V = 7 x 10 x 4V = 280 m³Answer:
280
Step-by-step explanation:
So first lets establish the formula for a Triangular Prism :
1/2 * b * h * l
now lets use the mesurements given to substitute into the formula :
1/2 * 7 * 8 * 10
now lets solve it by first multiplying all the whole numbers together!
7 * 8 = 56
56 * 10 = 560
Finally lets multiply 560 by 1/2 or in other words, divide 560 by 2 :
560/2 = 280
Having trouble with this, help please?
Answer:
a) [tex]7x-15=20[/tex]
b) [tex]\frac{20+15}{7}[/tex]
c) [tex]5[/tex]
Step-by-step explanation:
Which of the Question A & B?
Answer:
A) 50 households are randomly selected from the town; 14 own a dog
B) 98
Step-by-step explanation:
A) The first choice is the most logical because it doesn’t factor in the accommodations that the other two do.
B) There are 14 households that own dogs per 50 houses, so multiply by 7 to find how many dogs are in the whole town:
50 x 7 = 350 houses
14 x 7 = 98 households
Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -9x to the second power-6x-1=0
A builder wants to install a triangular window with the angles shown in the illustration. What angles will he have to cut to make the window fit? (Hint: The sum of the angles in a triangle equals 180°.)
x° =
°
(x + 30)° =
°
Answer:
X=40°
Step-by-step explanation:
40+30=70
40+30=70
70+70=140
140+40=180
The angles will builder has to cut to make the window fit is 40°, 70° and 70°.
Given that, the measures of the three angles of a triangle are x°, (x+30)° and (x+30)°.
What is the angle sum property of a triangle?The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
Now, x°+(x+30)°+(x+30)°= 180°
⇒3x+60°=180°
⇒3x=180°-60°
⇒3x=120°
⇒x=40°
So, x°=40°, (x+30)°= 70°
Therefore, the angles will builder has to cut to make the window fit is 40°, 70° and 70°.
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BRAINLIEST + STARSS!!
In this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?
Drag and drop the correct measurements into the boxes to
match each angle.
m<2
m<4
m<7
89° 91 ° 93 ° 87°
Find the perimeter of the figure.
6 meters
2y meters
2y
meters
4y meters
16 meters
4y meters
Answer:
34
Step-by-step explanation:
Usually when finding the perimeter all you have to do is add the sides.
What is the surface area?
5 mm
5 mm
5 mm
square millimeter
What is the equation in standard
form of a circle with the
equation x^2+ y^2 + 14y – 1 = 0?
Answer:
(x-2)²+(y+7)² = 25Step-by-step explanation:
The general standard form of an equation is written in expressed as shown;
(x-a)²+(y-b)² = r²
(a,b) is the centre of the circle and r is the radius
Given the equation of the circle x^2 + y^2 - 4x + 14y +28 =0, we need to find the centre of the circle and its radius.
comparing the equation given with x²+y²+2gx+2fy+c =0
(-g, -f) is the centre
radius = √g²+f²-c
On comparison,
2gx = - 4x
g = -4/2
g = -2
2fy = 14y
f = 14/2
f = 7
c = 28
r = √(-2)²+7²-28
r = √4+49-28
r = √25
r = 5
comparing centre (a,b) to (-g, -f)
a = -g = -(-2)
a = 2
b = -f = -7
b = -7
substituting the centre (a, b) and the radius r into the equation
(x-a)²+(y-b)² = r²
The required equation will be (x-2)²+(y+7)² = 5²
(x-2)²+(y+7)² = 25
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68
Answer: x > 64 and x < 68 is another way of rewriting inequality.
Step-by-step explanation:
To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.
⇒The inequality 64 < x < 68, where x represents height,gives the range of height.
⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.
[with the use of or it will appear to give priority by actor to follow any 1 conditon]
pls help i need an A
Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B.
I need help with this question
Explain why it is important to have a good credit history.
Answer:
A good credit score is used for more than just getting a credit card or a loan. Credit scores demonstrate your history of paying your debts to entities that loan you money. Due to extending themselves beyond their means, many people are not able to pay their debts
what is 2/3 - 1/2 = in simplest form
Answer:
1/3
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/3-1/2 = find the denominator 3×2=6
4/6-3/6 = rewrite with a denominator of 6
(4-3)/6 = 1/6 subtract numerators
Which prism has a greater volume?
Can someone please show step by step to this problem? Find the area of the following figure.
Answer:
20 x 12=240
Step-by-step explanation:
Make a stem-and-leaf plot of the data values 14, 22, 9, 13, 30, 8, 25, and 29.
Stem Leaf
89
1 3
22
0
Key: 1 | 3 =
Previous
H
9
2
3
SO
Answer:
Step-by-step explanation: