Answer:
[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
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which phrase represents the algebraic expression 3p + 6
Answer:9p
Step-by-step explanation:
Which of the following polygons can form a regular tessellation?
Answer:
option A.
Step-by-step explanation:
The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.
HOPE THIS HELPS.
Answer:
a
Step-by-step explanation:
Math question do not guess
What is the equation of a circle with center (-3,-1) that contains the point (1,
2)?
Answer:
(x+3)^2+(y+1)^2=25
Step-by-step explanation:
the distance of the center and the point is the radius of the circle
distance=(4^2+3^2)^(1/2)=5
(x+3)^2+(y+1)^2=25
If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
what is the definition for congruent arcs
Answer:
"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"
Step-by-step explanation:
What is the measure of L?
A. 25°
B. Cannot be determined
C. 39
D. 32°
Answer:
A. 25°
Step-by-step explanation:
25° is really the only logical answer.
Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20 km/h a la de la moto B, con lo que llega a la meta 3 minutos después que B. Calcula la velocidad de cada moto.
Answer:
motorcycle A: 180 km/h
motorcycle B: 200 km/h
Step-by-step explanation:
To solve this question we need to write a system of equations for A and B, using the equation:
distance = speed * time
The speed of A is 20 less than the speed of B, so:
speedA = speedB - 20
And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:
timeA = timeB + 0.05
Then, using the distance equation, we have that:
distanceB = speedB * timeB
90 = speedB * timeB
distanceA = speedA * timeA
90 = (speedB - 20) * (timeB + 0.05)
90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1
90 = 90 + 0.05 * speedB - 20*timeB - 1
20*timeB = 0.05 * speedB - 1
timeB = (speedB - 20)/400
using this timeB in the distance equation, we have:
90 = speedB * (speedB - 20)/400
90 * 400 = speedB^2 - 20*speedB
speedB^2 - 20*speedB - 36000 = 0
Solving this quadratic equation, we have speedB = 200 km/h
And the speedA is:
speedA = speedB - 20 = 200 - 20 = 180 km/h
helppppppppp! i give brainliest !!!!!!
Answer:
7.5g salt, 10g yeast, 50ml oil, 450ml water.
Which formulas can you use to calculate the volume of a rectangular prism check all that apply
Answer:
V = Bh
Step-by-step explanation:
Answer:
v=lwh
v=bh
Step-by-step explanation:
edge2020
How many times does 2 go into 5?
Answer:
answer is 2.5 times....
There are 2.5 times does 2 go into 5.
Since, Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that,
To find what times does 2 go into 5.
Now, We can solve as by divide 5 by 2,
⇒ 5 / 2
⇒ 2.5
Thus, A number 5 is 2.5 times 2.
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A set of data includes 107 data points ranging from 0 – 300. If the data is split into classes with a range of 50 (1 – 50, 51 – 100, etc), and there are no values that fall in the class 201 – 350, what can you say about the data? a.All the data lies below 200. b.The median could be in the range 201 - 350. c.The relative frequency of the class 201 - 350 is 0. d.The mean of the data will not be between 201 - 350.
Answer:
D
Step-by-step explanation:
The mean is the average summing all values together and dividing by the number of values been investigated.
Hence since no values exist between 201-350 that means the mean can not be there.
Answer:
The relative frequency of the class 201 - 350 is 0.
Step-by-step explanation:
Which number is an integer?
-3/4 1/5 2 42/3
The Answer:
2 is an integer.
Answer:
c
Step-by-step explanation:
edgeinuity
There are 60 minutes in a hour the total number of minutes is a function of the number of hours as shown in the table does this situation represent a linear or non linear function and why?
Answer:
It represents a linear function because there is a constant rate of change.
Step-by-step explanation:
As an hour passes, the minutes increase at a constant time of 60. A constant increase indicates a linear function.
Debra wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 7 inches by 9 inches. She has 1 square yard of fabric. Can she completely cover the footrest? Explain.
Answer:
Yes, she can.
Step-by-step explanation:
We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.
The surface area of a rectangular prism is given as:
A=2(wl+hl+hw)
where w = width, l = length, h = height
The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:
A = 2[(7 * 15) + (9 * 15) + (9 * 7)]
A = 2[105 + 135 + 63]
A = 2 * 303 = 606 square inches
1 square inch = 0.000771605 square yards
=> 606 square inches = 606 * 0.000771605 = 0.468 square yards
Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.
I NEED ANSWERS FAST. 1.Using the following image, find
FE given GF=6 and GE=13, 2.Using the following image, find
RS given ST=5and RT=11
.
Answer: FE is 7 and RS is 6.
Step-by-step explanation:
13 - 6 = 7
11-5= 6
Answer:
FE = 7
RS = 6
Step-by-step explanation:
for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.
13 - 6 = 7
You can do the same thing for the second problem.
11 - 5 = 6
hope it helps!
Can someone please help
Answer:
B. 81 weeks
Step-by-step explanation:
If we plug everything into the equation it should look like this:
[tex]82 = w + 1[/tex]
Then we would subtract 1 from both sides, then we are left with w:
[tex]w = 81[/tex]
Hope this helps!
is the ordered pair (-4,3) a solution of the equation y=5x + 21
Answer:
Step-by-step explanation:
If you substitute x = -4 in the equation, you should get the y value as 3
y = 5x + 21
= 5* -4 + 21
= -20 + 21
y = -1 ≠ 3
So, (-4, 3) is not a solution
Let f(x) = .................
Answer:
= -9/2
Step-by-step explanation:
g(x) = -2x^2 -4
Let x = 1/2
g(1/2) = -2 (1/2)^2 -4
= -2 ( 1/4) - 4
-1/2 -4
- 4 1/2
= -9/2
Give the singular form :
1 . Bodies
2. Joys
3. loaves
4. coolies
5. keys
6. bushes
7. sheep
8. watches
9. storeys
10 . rays
11. feet
12. wives
13. children
14. lilies
15. fairies
Brainliest to whoever answers best and with a good explanation .
Thanks!!
Answer:
Given below hope it helps!
Step-by-step explanation:
The steps for changing from plural to singular are:
If there is an (s) after the word remove
If there is an ies after the word remove and add y
If there is ves remove and add f or fe
However there are a few exceptions and I will point it out in the answer:-
1) body
2) joy
3) loaf
4) coolie
(In this cooly won't make sense so we just remove the s)
5) key
6) bush
7) sheep
(The singular of sheep is also sheep)
8) watch
9) storey
10) ray
11) foot
(The singular is foot because no other rule applies to this word, this is an exception)
12) wife
13) child
(This is an exception too where we remove ren)
14) lily
15) fairy
Can I get help please.
Answer:
see below
Step-by-step explanation:
A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.
B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.
C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.
what is the output value for the following function if the input value is 1?
y=3x + 1
Answer:
The output value is 4
Step-by-step explanation:
The output value is the y value, so y=3(1)+1
y=3+1
y=4
What is the value of x ?
Answer:
x=22
Step-by-step explanation:
set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!
75 + 92 + ( x+57 ) + ( x+92) = 360
( x+57 ) + ( x+92 ) = 201
2 x = 44
x = 22
convert the angle =100 degrees to radians
Answer:
1.75 rad
Step-by-step explanation:
° × π/180 = rad
100° × π=314.16
314.16/180=1.75 rad
The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.
Answer:
a = -6 and b = 3√2
Step-by-step explanation:
Given the complex solution below;
x = (-24±√-288)/4
Re writing in the standard format a,+bi
x =( -24±√144×√2×√-1)/4
In complex notation, i = √-1
x = (-24±√144×√2×i)/4
x = ( -24±12×√2i)/4
x = -24/4±12√2i/4
x = -6±3√2i
Comparing the resulting complex number with a+bi
a = -6 and b = 3√2
Una escalera está apoyada sobre una pared a 4,33 m de altura y forma con el piso un ángulo de 60°. a) Calcula el largo de la escalera. b) Si el punto B correspondiera a (5,0) y el punto a correspondiera a (0,7). Halla la ecuación de la recta que pasa por los dos puntos, es decir la escalera.
Answer:
a) 5,00 m
b) y = - (7/5)x + 7
Step-by-step explanation:
The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).
a) To find the length of stairs you use the following trigonometric relation:
[tex]sin\theta=\frac{h}{l_s}[/tex] (1)
h: height in which the stairs touch the wall = 4,33 m
ls: length of the stairs
θ: angle between ground and stairs = 60°
You solve the equation (1) for ls:
[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]
b) The line equation is given by:
[tex]y-y_o=m(x-x_o)[/tex] (2)
Firs, you calculate the slope by using the equation (2):
[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]
Next, you use one of the point, say B, an you replace this points for yo and xo:
[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]
Simplify the expression by combining like terms.
22+5−4+7−8
Answer: 22
Step-by-step explanation:
22+5= 27
27-4=23
23+7=30
30-8=22
Answer:
22+m+ 7n - 8
Step-by-step explanation:
22+5m-4m+7n-8
22+m+ 7n - 8
you subract 4m from 5m because there are like terms
none of the others are like terms so you cant add or subract them
Angela is following this recipe to make biscuits.
Angela uses 3.37 of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
120 g margarine
150 g sugar
275 ml syrup
200 g oats
60 g sultanas
Answer:
150 G sugar. ⬅️CORECT ANSWER
solve the equation for x -x*2-10x+24=0
Answer:
x=-12 x =2
Step-by-step explanation:
-x^2-10x+24=0
Divide by -1
x^2 +10x -24 = 0
Factor
What 2 terms multiply to -24 and add to 10
12 * -2 = -24
12 -2 = 10
(x+12) ( x-2) = 0
Using the zero product property
x+12 =0 x-2 =0
x=-12 x =2
What is the length of AC?
Answer:
A
Step-by-step explanation:
We can see that the two triangles are similar, and are in a 17:1 ration since 51/3 = 17
Now we can set up the equation
144-x = 17x
adding x to both sides we get
144 = 18x
dividing by 18 we get
x = 8
Now we plug x = 8 back in and get
144-8 = 136