Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answers
Answer:
Surface area = 505cm²
Step-by-step explanation:
Surface area of the triangular prism. = 2B + ph
B is the base area
p is the perimeter of the triangle
h is the height of the triangle
Base area = 1/2 * base * height
Base area = 1/2 * 18 * 40
Base area = 9 * 40
Base area = 360cm²
Perimeter of the triangle = 41 + 41 + 18
Perimeter of the triangle = 100cm
height of the prism = 45cm
Surface area = 360 + 100 + 45
Surface area = 505cm²
Related Questions
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
Answers
Answer:
Step-by-step explanation:
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
What Is 21+21,000 Please tell me what the answer
Answers
Answer:
21021
Step-by-step explanation:
PLEASE HELP ME PUT THEM IN ORDER
Answers
Answer
picture below of order. Not entirely
Step-by-step explanation:
one number added to twice another number is 23. Four times the first number added to twice the other number is 38. What are the numbers?
Answers
Answer:
x =5 & y =9
Step-by-step explanation:
let anumber x & y
-(x + 2y = 23)
4x + 2y = 38
-x -2y = -23
4x + 2y = 38
-x + 4x + 2y - 2y = 38-23
3x+0 = 15
3x /3 = 15/3
x = 5 then
5 + 2y = 23
2y = 23-5
2y/2 = 18/2
y = 9
therefore y =18 and x = 5
Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?
Answers
Answer:
Marcy paid $4.15
Step-by-step explanation:
Given
Represent hotdogs with x and chips with y.
So, we have:
Jamal
[tex]3x + 2y = 4.85[/tex]
Kenny
[tex]5x + 6y = 9.55[/tex]
See attachment for complete question
Required
Determine the amount for 2x and 3y
From Jamal's and Kenny's orders we have:
[tex]3x + 2y = 4.85[/tex] --- (1)
[tex]5x + 6y = 9.55[/tex] --- (2)
Multiply (1) by 3
[tex]3 * [3x + 2y = 4.85][/tex]
[tex]9x + 6y = 14.55[/tex] --- (3)
Subtract (2) and (3)
[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]
[tex]9x - 5x = 5[/tex]
[tex]4x = 5[/tex]
Solve for x
[tex]x = \frac{5}{4}[/tex]
[tex]x = 1.25[/tex]
Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]
[tex]3 * 1.25 + 2y = 4.85[/tex]
[tex]3.75 + 2y = 4.85[/tex]
Solve for y
[tex]y = \frac{4.85 - 3.75}{2}[/tex]
[tex]y = \frac{1.10}{2}[/tex]
[tex]y = 0.55[/tex]
So, the cost of 2x and 3y is:
[tex]Cost = 2x + 3y[/tex]
[tex]Cost = 2*1.25 + 3*0.55[/tex]
[tex]Cost = \$4.15[/tex]
Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y
OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4
Answers
Lollipops cost 12p each, but I get 3 for 30p. What is the maximum number of lollipops I can buy if I have £2 to spend?
Answers
Answer:
18 lolly pops
Step-by-step explanation:
3 = 30p
3x6 = 1.80
= 18
Please answer correctly! I will mark you Brainliest!
Answers
Answer:
158.35
Step-by-step explanation:
Write an equation in slope intercept form that represents the line shown?
Answers
Answer:
I think the answer would be Y=-2X+5
Hope it helps you *^*
28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=
Answers
Answer: good luck
Step-by-step explanation:
At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?
Answers
Answer:
The integer that represents the change in temperature is 17.
Step-by-step explanation:
HELP PLEASE
Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?
Answers
The volume of a square pyramid is 48 in^3 with a height of 4 inches. Find the length of one of the side of the base.
Answers
Answer:
6 inches
Step-by-step explanation:
area of square = 48 x 3 / 4 = 36 in^2
side = 6 in
Answer:
6 in
Step-by-step explanation:
The volume formula for a square-base pyramid of side length x and height h is V = (1/3)x²h. We want to solve this for the base side length x:
Multiplying both sides by (3/h) results in:
3V
----- = x² and so the side length, x, is √(3V/h).
h
Substituting 4 in for h and 48 in³ for V, we get: x = √(144 in³/4 in) = 6 in
Check: Does the volume formula given above result in 48 in³ when x = 6 in and h = 4 in?
V = (1/3)x²h = (1/3)(6 in)²(4 in) = 48 in³ YES: x = 6 in is correct.
1. A psychologist was interested in the effect of Vitamin A deficiency on maze learning rats. A group of nine rats learned a simple maze. Next, these same rats were deprived of Vitamin A for six weeks and were then tested again on their ability to learn a second maze equal in difficulty to the first. The scores represent the number of maze errors made under the two treatment conditions. Perform an appropriate two-tailed test of the significance of the mean difference.
Answers
Answer: hello your question has some missing information attached below is the missing information
we fail to reject H0 hence μ1 = μ2mean difference ( d ) = -2.444Step-by-step explanation:
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
where : μ1 = mean number of errors made in pretest
μ2 = mean number of errors made in post test
n = 9
attached below is the detailed solution
A red car left the park at 9 am. An hour later a blue car left the same park, heading to the same destination. If both cars arrived at the destination at 1 pm, and the speed of the blue car was 15 mph faster than the red car, what was the speed of the blue car?
Answers
Answer: 60 mph
Step-by-step explanation:
Given
The red car left at 9 am and arrives at 1 pm
time taken by the red car [tex]t_a=4\ hr[/tex]
time taken by the blue car [tex]t_b=3\ hr[/tex]
Assume the speed of the red car is v
So, the speed of the blue car is v+15
distance traveled by them is the same
[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]
Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]
5th grade math. correct answer will be marked brainliest
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
9×[tex]\frac{1}{3}[/tex]
9×1/1×3=
[tex]\frac{9}{3}[/tex]÷3=
3!!!!
3. A system of functions is given. Select
ALL values where f(x) = g(x). Round all
answers to the nearest tenth
f(x) = - x - 2x + 6
g(x) = 2x2 + 5x + 3
a) -2.7
b) -1.8
c) -0.6
d) 0.4
e) 4.1
f) 5.1
g)7.0
Answers
Answer:
Step-by-step explanation:
The easiest way is to graph both functions and see where they intersect. The intersection is where f(x) = g(x).
f(x) = -x² - 3x + 6
g(x) = 2x² + 5x + 3
Can someone please help me with math
Answers
Answer:
A
Step-by-step explanation:
Hello There!
This is the formula for volume of a cylinder
[tex]V=\pi r^2h[/tex]
where r = radius and h = height
we are given the height and diameter height - 10 ft diameter - 22 ft
we are not give the radius directly but we can easily convert the diameter to the radius by dividing by 2
22/2=11 so the radius is 11
now having found the radius and height we plug in the values into the formula (note: it says leave answer in terms of pi so we will not apply pi to the final answer.)
[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\V=1210\pi[/tex]
so we can conclude that the answer is A
Compare each set of rational numbers.
Answers
1. Find the equation of the parabola satisfying the given conditions.
Focus: (3,6); Directrix: x=−1
A. (x−1)2=8(y−6)
B. (y−6)2=8(x−1)
C. (x−1)2=−8(y−6)
D. (y−6)2=−8(x−1)
2. Find the equation of the parabola satisfying the given conditions.
Focus: (−6,3); Directrix: y=1
A. (y−2)2=4(x+6)
B. (x+6)2=4(y−2)
C. (x+6)2=−4(y−2)
D. (y−2)2=−4(x+6)
3. Find the equation of an ellipse that has foci at (−1,0) and (4,0), where the sum of the distances between each point on the ellipse and the two foci is 9.
A. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=9
B. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=9
C. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=81
D. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=81
4. Find the equation of a hyperbola that has foci at (−1,0) and (4,0), where the difference of the distances between each point on the ellipse and the two foci is 5.
A. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=25
B. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=5
C. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=25
D. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=5
Answers
Answer:
CABD
Step-by-step explanation:
The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.
Answers
Answer:
[tex](a)\ Area = 3765.32[/tex]
[tex](b)\ Area = 4773[/tex]
Step-by-step explanation:
Given
[tex]A_1 = 169in^2[/tex] --- area of each square
[tex]Shade = 4in[/tex]
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
[tex]L^2 = A_1[/tex]
[tex]L^2 = 169[/tex]
[tex]L = \sqrt{169[/tex]
[tex]L=13[/tex]
The length of two squares make up the radius of the semicircle.
So:
[tex]r = 2 * L[/tex]
[tex]r = 2*13[/tex]
[tex]r = 26[/tex]
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
[tex]A_2 = 16 * 169[/tex]
[tex]A_2 = 2704[/tex]
The area of the semicircle is:
[tex]A_3 = \frac{\pi r^2}{2}[/tex]
[tex]A_3 = \frac{3.14 * 26^2}{2}[/tex]
[tex]A_3 = 1061.32[/tex]
So, the area of the window is:
[tex]Area = A_2 + A_3[/tex]
[tex]Area = 2704 + 1061.32[/tex]
[tex]Area = 3765.32[/tex]
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
[tex]Length = 4 * 13 + 8[/tex]
[tex]Length = 60[/tex]
[tex]Height = 4*13 + 4[/tex]
[tex]Height = 56[/tex]
The area is:
[tex]A_1 = 60 * 56 = 3360[/tex]
The radius of the semicircle becomes initial radius + 4
[tex]r = 26 + 4 = 30[/tex]
The area is:
[tex]A_2 = \frac{3.14 * 30^2}{2} = 1413[/tex]
The area of the shade is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 3360 + 1413[/tex]
[tex]Area = 4773[/tex]
Help me please!!!!!!!!!!!
Answers
Answer:
A reflection over the y-axis.
Question in pic plz help! ~
Answers
Im gonna label the long side of a rectangle a and the smaller side b.
For the perimeter, 2a + 2b = 34
For the area, a x b = 66
if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.
So a = 11 and b = 6
Answer:
Longer side = 11
Shorter side = 6
Step-by-step explanation:
L x W = 66, then W = 66/L
2L + 2W = 34
substitute for W:
2L + 2(66/L) = 34
2L + 132/L = 34
multiply both sides of the equation by L:
2L² + 132 = 34L
divide both sides by 2:
L² + 66 = 17L
L² - 17L + 66 = 0
factor:
(L - 11)(L - 6) = 0
L = 11 or L = 6
if L = 11, then W = 6
if L = 6 then W = 11
Translate the phrase into an inequality:
Seven plus a number x is at most twenty
Answers
At most means less than or equal to:
7 + x ≤ 20
HELP ME UNSCRAMBLE THESE WORDS PLEASE!!! IGNORE THE SUBJECT I JUST DIDN'T KNOW WHAT TO PICK!! THANK YOU LOVELIES!!!
Answers
1) Play
2)Dribble
3)Paint
4)Center
5)Assists
6)Perimeter
7)Benchwarmer
8)Aboard
9)Technical
10)Rebound
11)Penalty
12)screen
13)Overtime
14)guard
15)? Host
16)Quarter
17) Bounce
18)Swish
19)Halftime
20)Backcourt
state the equation of a line with slope m=2 and y intercept =3 then graph the line
Answers
Answer:
y=2x+3
The coefficient attached to x is the slope and the number being added to it is the y intercept.
Please see the attached image
How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.
y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line
Answers
Answer:
There is one equation, the slopes are different so they will intersect at one point
Step-by-step explanation:
I need the answer fast please !
Answers
Answer:
30
Step-by-step explanation:
Angles on a straight line are equal to 180°
180°-120°= 60°
Sum of Co interior angles are equal to 180°
180°-60° =120°
90°+60°+ x = 180°
((180° - 90° - 60°= 30°))
Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x + 25) degrees. Determine the measure of each angle.
Answers
Answer: a = 3x
b = 2x+25
180 = a + b
180 = 3x + 2x + 25
180 = 5x + 25
155 = 5x
x = 31
a = 3*31 = 93
b = 2*31 + 25 = 87
Step-by-step explanation: pls mark as branlyest
Eu tenho um ovo de páscoa que custa 24,99 e tem 185 gramas, tbm tenho uma barra de chocolate q custa 5,10 e tem 90 gramad. Qual da mais vantagem para mim?
Answers
Answer:
A maior vantagem para mim é a barra de chocolate.
Step-by-step explanation:
Temos que encontrar o custo de 1 grama de ovo de Páscoa e barra de chocolate
Para o ovo de páscoa
Tenho um ovo de Páscoa que custa 24,99 e tem 185 gramas.
185 gramas = 24,99
1 grama = x
Multiplicação cruzada
185 gramas × x = 1 grama × 24,99
x = 1 grama × 24,99 / 185 gramas
x = 0,1612258065
Aproximadamente = 0,16
O custo de 1 grama de ovo de Páscoa = 0,15
Para a barra de chocolate
Também tenho uma barra de chocolate que custa 5,10 e tem 90 gramas.
90 gramas = 5,10
1 grama = x
Multiplicação cruzada
90 gramas × x = 1 grama × 5,10
x = 1 grama × 5,10 / 90 gramas
x = 0,0566666667
Aproximadamente = 0,06
O custo de 1 grama de barra de chocolate = 0,06
A maior vantagem para mim é a barra de chocolate.