Answer:
Volume of the figure = 68 in.³
Step-by-step explanation:
The figure is composed of a rectangular prism and 2 equal triangular prism
Volume of the figure = volume of rectangular prism + 2(volume of triangular prism)
✔️Volume of triangular prism = L*W*H
L = 14 in.
W = 2 in.
H = 2 in.
Volume = 14*2*2 = 56 in.³
✔️Volume of triangular prism = ½*a*c*h
a = 3 in.
c = 2 in.
h = 2 in.
Volume = ½*3*2*2 = 6 in.³
✅Volume go the figure = 56 + 2(6) = 56 + 12
Volume of the figure = 68 in.³
Can someone please help me with this question?
Answer:
AE = 9 units
Step-by-step explanation:
Based on the centroid theorem:
AX = ⅔ of AE
Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:
6 = ⅔ of AE
6 = ⅔(AE)
Multiply both sides by 3
6*3 = ⅔(AE)*3
18 = 2(AE)
Divide both sides by 2
18/2 = AE
9 = AE
AE = 9 units
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
Story is The Crystal Ball Brainliest for correct answers
Answer:
C.
Step-by-step explanation:
Though the story is also about A, B, and D, the overall story is about C. The story begins with the enchanter turning the eldest and second eldest brothers into an Eagle and Whale, though the youngest escapes. He then goes to the castle to free the cursed princess, and to do so he needs to find a crystal ball. If I remember correctly, the ball will also save the brothers.
ITS C
for the iready question it is C youngest brother tryna find the balls, i got it right
Suppose y varies directly with x, and y = 14 when x = 2. What direct variation equation relates x and y? What is the value of y when x = 6? Explain. Show your work
A. The equation y = 2x relates x and y. When x = 6, y =2(6) or 12.
B. The equation y = 14x relates x and y. When x = 6, y =14(6) or 84.
C. The equation y = 7x relates x and y. When x = 6, y =7(6) or 42.
Answer: C. The equation y = 7x relates x and y. When x = 6, y =7(6) or 42.
Step-by-step explanation:
Using direct variation with the formula:
y = kx
Since y =14, when x = 2.
y = kx
14 = 2k
k = 14/2
k = 7
Therefore, y = 7x
The value of y when x = 6 will be:
y = kx
y = 6k
Recall that k = 7
y = 6 × 7
y = 42
Therefore, the equation y = 7x relates x and y. When x = 6, y =7(6) or 42.
The area of the surface of a pool table is 24 square feet. The pool table is 6 feet long. How wide is it?
No procedure
Answer: The pool table is rectangle, so we assume it with Length a feet and b feet, respectively.
So area=a*b=24 square feet
perimeter=2(a+b)= 22 feet
then we calculate with this two equation to get a and b.
because a+b=11, then a=11-b, we put this into a * b=24
then we get (11-b)*b=24,
b^2-11b+24=0
b=3 feet or b=8 feet
then we can get a by a=11-b, if b=3, then a=8; if b=8, then a=3.
so the dimension of the pool table is 3 feet and 8 feet
HOPE THIS HELPS
Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.
area: about
cm2
Answer:
2513.27 my dear check if correct
Step-by-step explanation:
Answer:
it 628 i hope that helps you
Step-by-step explanation:
what is the equation of the line that passes through the point (-6,-5) slope of 3/2?
what is 3 13/20 as a decimal
Answer:
3.65
Step-by-step explanation:
john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month
a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode
help please lol :)))))))
marking brianliest pls help
Answer:
117.3
Step-by-step explanation:
7*4=117.29=117.3
An arithmetic sequence has a first term of 0 and the 9th term of 12. If 27 is an output of the sequence, which term number is it? Show all steps of calculations and explain in a sentence at the end how you know you have the correct term number.
Giving 100 points to first correct answer
Answer:
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?
Answer:
(- 4, - 3 )
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
For
g(x) = f(x) + 3
This is the graph of f(x) shifted 3 units up
Given the vertex of f(x) = (- 4, - 6 ), then
vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )
5. The scatterplot below shows data for the nine french fry orders from the previous problem, with
the least-squares regression line displayed. Which of the following is the best estimate of the value
of the residual for the point indicated by the arrow?
620
560
calories
500
+
440
00
380
8 12 16 20 24 28 32 36
fat
(A) -570
(B) 570
(C)-60
(D) 60
(E) 630
Answer:
-60
Step-by-step explanation:
residual = actual - predicted = 570 - 630 = -60
QUADRATIC EQUATIONS HELP
Answer:
[tex](x-12)^2[/tex] & [tex] 144[/tex]
Step-by-step explanation:
The Equation given to us is ,
[tex]\implies x^2 -24x + \cdots [/tex]
Here we need to find the value of the blank such that it is a perfect square.
This can be in the form of ,
[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]
On looking at equation ,
[tex]\implies x^2 -2(12)x + \cdots [/tex]
For the whole equation to be whole square , the number that should replace the blank is 12² .
[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]
Therefore 144 should be added .
solve for x radical forms
Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
please help me solve for x and find missing side lengths and angle measures,,
Answer: 90
Step-by-step explanatio
Answer:
the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet
them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.
help with this question thx
Answer:
3.5ft
Step-by-step explanation:
the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________
Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?
Find the area of the shape
Answer:
1725
Step-by-step explanation:
40 is the number of the slope the height is 30.
For Quon's first 6 quizzes he had a mean score of 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34. What was the difference in scores between his 7th and 8th quizzes
Answer:
Difference in scores between his 7th and 8th quizzes = 22
Step-by-step explanation:
Given: Mean score for first 6 quizzes is 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34.
To find: difference in scores between his 7th and 8th quizzes
Solution:
Mean scores = Total points scored in quizzes ÷ Number of quizzes
So,
Total points scored in quizzes = Mean scores × Number of quizzes
As mean score for first 6 quizzes is 33 points,
Total points scored in 6 quizzes = 6 × 33 = 198
As mean score for first 7 quizzes is 32 points,
Total points scored in 7 quizzes = 7 × 32 = 224
So,
7th score = Total points scored in 7 quizzes - Total points scored in 6 quizzes
= 224 - 198
= 26
As mean score for first 8 quizzes is 34 points,
Total points scored in 8 quizzes = 8 × 34 = 272
So,
8th score = Total points scored in 8 quizzes - Total points scored in 7 quizzes
= 272 - 224
= 48
Therefore,
Difference in scores between his 7th and 8th quizzes = 48 - 26
= 22
Pls I need to know!!
-6(-3x-3)=6(1+3x) solve
Answer:
x=-0.6
Step-by-step explanation:
-3x-3=-1
-3x=-1+3
-3x=2
x=-2/3
how many yards are in 45 inches
Answer:
1.25
Step-by-step explanation:
You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)
Answer:
2, 3, 5, 7
Step-by-step explanation:
They are all prime
Answer: 2,3,7,5
Step-by-step explanation:
2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself
While teaching at the University of Pisa in 1589, Galileo tested Aristotle’s laws of falling objects by dropping large metal projectiles off the?
.A university building
B. church tower
C. Leaning tower of Pisa
D.Eiffel Tower
He concluded that a heavier object dropped from the same height as a lighter object will land?
A. before the lighter objects lands
B. after the lighter objects land
C. at about the same time as the lighter objects
Answer:
C. Leaning tower of Pisa and C. at about the same time as the lighter objects
Step-by-step explanation:
Answer:
Leaning Tower of Pisa
at about the same time as the lighter objects
Step-by-step explanation:
100 on edge
Mark correct answer for wrong ones.
Except one needs to answers I haven't gotten to yet. Correct answer gets brainliest!
Answer: Can I see a better pic?
Step-by-step explanation:
Answer: D and C
Step-by-step explanation:
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
I need this done by tomorrow 4.