Answer:
The length is 8 ft.
The width is 2 ft.
Step-by-step explanation:
A = l*w
l = w + 6
16 = w(w + 6)
16 = w^2 + 6w
w^2 + 6w - 16 = 0
(w + 8)(w - 2) = 0
w = -8ft or 2ft
Since lengths cannot be negative in reality, w = 2ft.
l*2 = 16
l = 8ft
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
For more such questions on midpoints visit:
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What equals 18 to the third power
Answer:
5832
Step-by-step explanation:
18 × 18 = 324
324 × 18 = 5832
The radius of a circle is 3 centimeters. What is the circle's area?
Answer:
If the circle's radius is 3, then its area is 28.27 cm.
Step-by-step explanation:
A circle's area is equal to (A = π r²).
Plug in the radius for R, and your equation should look like the following:
A = π3²
According to PEMDAS, you have to do the exponent first.
Do 3 squared, THEN multiply what you get by pi.
Then what you get should be your area.
Hope this helped !!
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There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
62%=
How many boys have school dinners?
You must show all your working.
Answer:
38
Step-by-step explanation: 100 - 62= 38
I am not sure of my answer tho
In a benchmark study, a fast food restaurant had an average service time of 2.4 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute
Answer:
[tex]P(x \le 1)= 0.9093[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 2.4[/tex] -- mean
Required
Determine [tex]P(x \le 1)[/tex]
This is calculated using:
[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]
So:
[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]
[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]
[tex]P(x \le 1)= 1 - 0.0907[/tex]
[tex]P(x \le 1)= 0.9093[/tex]
Is 9a^2 +25 the difference of 2 squares?
Yes
No
[tex]\huge\text{Hey there!}[/tex]
“ [tex]\mathsf{Is\ 9a^2 +25\ the\ difference\ of\ 2\ squares?}[/tex]
[tex]\textsf{Well, when you see or hear the word difference it usually MEANS SUBTRACT}\\\textsf{or SUBTRACTION especially in MATHEMATICS!}[/tex]
[tex]\mathsf{\bold{+}\ usually\ means\ sum\ or\ more\ than}[/tex]
[tex]\textsf{So therefore to \boxed{\textsf{Answer}} to this giving question \boxed{\boxed{\huge \text{\bf No}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day}[/tex]!
~[tex]\frak{Amphitrite1040:)}[/tex]
What’s the correct answer for this question?
Answer: Fourth Choice. -2
Step-by-step explanation:
Given
( -9 | 6 + ( -10 ) | ) / 2 · 3²
Expand (-10) parenthesis
= ( -9 | 6 - 10 | ) / 2 · 3²
Expand (-9|6-10|) parenthesis
= ( -9 | -4 | ) / 2 · 3²
= ( -36 ) / 2 · 3²
Simplify the denominator and get answer
= -36 / 2 · 9
= -36 / 18
= -2
Hope this helps!! :)
Please let me know if you have any questions
Given the function h(x) = 2.25x, find h(2)
Answer:
h(2)= 4.5
Step-by-step explanation:
h(x)=2.25x
h(2)=2.25(2)
= 4.5
Answer:
Hi! The answer to your question is 4.5
Step-by-step explanation:
To find h(2) we just have to find x in the equation and replace it with a 2
h(x)=2.25(2)
h(x)=2.25(2)=4.5
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equivalent: 6(y - 3) AND 2(3y - 9)
Not Equivalent: 3(y - 6) AND 2(y - 9)
Step-by-step explanation:
4y - 2(5 - y + 4)
4y - 2(9 - y)
4y - 18 + 2y
6y - 18 (Everything must be equivalent to this)
3(y - 6) NOT EQUIVALENT
3y - 18
6(y - 3) EQUIVALENT
6y - 18
2(y - 9) NOT EQUIVALENT
2y - 18
2(3y - 9) EQUIVALENT
6y - 18
Find the surface area of the figure below
9514 1404 393
Answer:
144 square meters
Step-by-step explanation:
The formula for surface area of a cuboid is useful.
A = 2(LW +H(L+W))
A = 2((6 m)(6 m) +(3 m)(6 m +6 m)) = 2(36 m² +36 m²)
A = 144 m²
The surface area of the figure is 144 square meters.
In FGH, what is the measure of H?
42°
43°
68°
69°
21 students are going on a field trip and 3 students are staying at school what is the ratio of the numbers of students who are going on a field trip to the number of students who are staying at school?
Answer:
21/3 or 7/1
Step-by-step explanation:
Answer:
21/3
Step-by-step explanation:
hope this helps you
calculate the area of a triangle
Answer:
Area of triangle formula is ;
[tex] \frac{1}{2} bh[/tex]
6x-23+3m in standard form
Answer:
6x-23+3m
6x+3m-27 we can't add them b/c they have d/t
variables so the answer is 6x+3m-27
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
Does john short qualify for overtime? Explain
Answer:
?
Step-by-step explanation:
Select all numbers that have and absolute value of 0.6
Can someone help me plss
Answer:
Given, x = 2 and z = 12
z + 5x³
12 + 5×2³
12 + 5×8
12 + 40
52
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Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.
How many people can she feed with 30 pounds of turkey?
Answer:
yeah 10 people
divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah
A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?
The spider needs 15 hours to climb up the top of the wall.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
A spider is trying to climb a wall of height = 15 meters
In each hour, it climbs up 3 meters but falls back 2 meters,
⇒ [tex]+3-2=1[/tex]
Thus spider climbs 1 meter per hour.
For 15 meter wall, the spider needs 15 hours to climb up the wall.
Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.
Learn more about word problems here
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What is the value of 5 units as a mixed number
5integer 0/1 is the mixed fraction of 5 units
student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos
Answer:
3/6 or 1/2
Step-by-step explanation:
the amount that chose pizza = 2/6
5/6 = the amount that chose pizza + the amount that chose tacos
5/6 = 2/6 + the amount that chose tacos
the amount that chose tacos = 5/6 - 2/6
the amount that chose tacos = (5-2)/6
the amount that chose tacos=3/6=1/2
Answer:
3/6
Step-by-step explanation:
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
i need help on this one too sorry to ask much
Answer:
I can't really see the pic :(
Step-by-step explanation:
Answer:
8^2
Step-by-step explanation:
8*8=8^2 or 64
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.
Answer:
z = -0.816
Step-by-step explanation:
z = (x-μ)/σ
z = (4-6)/2.45
z = -0.816
1.ILL GIVE BRAINIEST FOR ANSWER
Chan invested $12,500 in a savings account that pays 2.5% simple interest. How much interest does
he earn each year?
F $350.50
G $312.50
H $322.50
J $325.50
Answer:
Step-by-step explanation:
F’(x)= 1+3 square root x f(9)=68
Answer:
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
Step-by-step explanation:
I'm assuming the question here is asking for f(x)
The first step would be to find the antiderivative of f'(x)
[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]
Apply the reverse power rule
[tex]x + 2x^\frac{3}{2} + C[/tex]
Now solve for C when x = 9
[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]
Now substitute into the antiderivative
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
2 minutes is how many seconds
Answer:
120
Step-by-step explanation:
2*60 = 120
Another group held a dance to raise money for charity. Pre-Sale tickets were $2.00 Less than tickets purchased at the event. They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales. How much did they charge for tickets at the event ?
Answer:
for the regular tickets they charged $8 for the pre sale the charged $6