Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
Find out more information about prism here:
https://brainly.com/question/12649592?referrer=searchResults
What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
A. 8.1
B. 9.1
C. 23
D. 3
Answer:
A - 8.1
Step-by-step explanation:
This is an example of similar shapes.
The length of MO is 18, and PO is 5.
So length of MP is 13. (18 - 5)
We need to separate this large triangle into 2 triangles:
Triangle NMP Triangle NPOIn problems including similar shapes, our unknown needs to be on top of the fraction in an equation.
NP (h) /
[tex]{\frac{NP}{MP}[/tex] = [tex]\frac{PO}{NP}[/tex]
[tex]\frac{h}{13}[/tex] = [tex]\frac{5}{h}[/tex]
Cross multiply
h² = 65
h = √65
h = 8.06
h = 8.1 (rounded)
Drawn out explanation below.
Hope this has answered your question.
If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.
Answer:
30
Step-by-step explanation:
So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct
PLEASE i really need help I am terrible at this I WILL GIVE TEN EXTRA POINTS AND BRAINLIEST
can i get help filling out the blanks
Answer:
The six raw digits are 14,15,15,15,16,16
Step-by-step explanation:
Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence. -3, 9, -27, 81, ...
Answer:
-243
Step-by-step explanation:
To solve this problem you will need to know the difference between an arithmetic and a geometric.
An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.
A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.
We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.
Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243
Answer:
To solve this problem you will need to know the difference between an arithmetic and a geometric.
An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.
A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.
We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.
Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243
Step-by-step explanation:
Find the indicated probability. Round to the nearest thousandth.
A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find
the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
0.985
0.996
0.550
0.143
Answer:
[tex]P(At\ least\ 1) = 0.985[/tex]
Step-by-step explanation:
Given
Proportion = 55%
Required
Probability that at least one out of 7 selected finds a job
Let the proportion of students that finds job be represented with p
[tex]p = 55\%[/tex]
Convert to decimal
[tex]p = 0.55[/tex]
Let the proportion of students that do not find job be represented with q
Such that;
[tex]p + q = 1[/tex]
Make q the subject of formula
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.55[/tex]
[tex]q = 0.45[/tex]
In probability; opposite probabilities add up to 1;
In this case;
Probability of none getting a job + Probability of at least 1 getting a job = 1
Represent Probability of none getting a job with P(none)
Represent Probability of at least 1 getting a job with P(At least 1)
So;
[tex]P(none) + P(At\ least\ 1) = 1[/tex]
Solving for the probability of none getting a job using binomial expansion
[tex](p + q)^n = ^nC_0p^nq^0 + ^nC_1p^{n-1}q^1 +.....+^nC_np^0q^n[/tex]
Where [tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] and n = 7; i.e. total number of graduates
For none to get a job, means 0 graduate got a job;
So, we set r to 0 (r = 0)
The probability becomes
[tex]P(none) = ^nC_0p^nq^0[/tex]
Substitute 7 for n
[tex]P(none) = \frac{7!}{(7-0)!0!} * p^7 * q^0[/tex]
[tex]P(none) = \frac{7!}{7!0!} * p^7 * q^0[/tex]
[tex]P(none) = \frac{7!}{7! * 1} * p^7 * q^0[/tex]
[tex]P(none) = 1 * p^7 * q^0[/tex]
Substitute [tex]p = 0.55[/tex] and [tex]q = 0.45[/tex]
[tex]P(none) = 1 * 0.55^7 * 0,45^0[/tex]
[tex]P(none) = 0.01522435234[/tex]
Recall that
[tex]P(none) + P(At\ least\ 1) = 1[/tex]
Substitute [tex]P(none) = 0.01522435234[/tex]
[tex]0.01522435234+ P(At\ least\ 1) = 1[/tex]
Make P(At least 1) the subject of formula
[tex]P(At\ least\ 1) = 1 - 0.01522435234[/tex]
[tex]P(At\ least\ 1) = 0.98477564766[/tex]
[tex]P(At\ least\ 1) = 0.985[/tex] (Approximated)
Using what you know about angles and translations, find all of the angle
measures in the image below.
.
<1 = 135°
<2 =
<3 =
<4 =
<5 =
<6 =
<7 =
<8 =
Explain how you found the measure of <8.
Answer:
angle 8 is the same as angle 1.
Step-by-step explanation:
opposite side exterior angles are congruent
Answer:
2=45, 3=45, 4=135, 5=135, 6=45, 7=135, 8=135
Step-by-step explanation:
Assuming that these lines are parallel, alternate interior angles are supplementary and alternate exterior angles are also supplementary. So, we know that 1=135 so that means we can do 180-135=45 so 2=45. 1 and 4 are equal to each other because of the vertical angle theorem. So every angle is either 45 degrees or 135 degrees. So:
2=3=6=7
1=4=5=8
You can use the theorems to figure out which angles are congruent and which angles are supplementary in a transversal.
I hope this makes sense
pls help me if you can
Answer:
v=lwh
Step-by-step explanation:
which is length×width×height.
Dan is 60 years old. He is married and has children. He is starting to experience problems
with his eyes and having other age-related health issues. He wants a health insurance policy.
Which policy is best for him?
Policy A Policy B Policy C Policy D
Medical premium per month
$500 $510 $580 $530
Dental premium per month $25 Not covered $28
$20
Vision premium per month Not covered $20 Not covered $30
Co-payment
None
$50
$20 None
Deductible
$2000 $2000 $1800 $1900
policy a? policy b? policy c? or policy d?
Answer:
policy d
Step-by-step explanation:
he must have health and vision coverage.
this leaves us with option b and option d
when you add the total amount he gets and needs to pay for each of B and D, you'll find that D is more generous.
thus, I think the option he should choose is d
Please help I will mark brainliest for correct answers!
Answer:
D. 57
Step-by-step explanation:
Q2=42
Q3=57
Right isosceles triangles are constructed on the sides of a3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is X+Y /z
Answer:
(X + Y)/Z = 1
Step-by-step explanation:
Given the leg sides of the isosceles right triangles as 4, 5, and 3, we have
Length of the other leg sides of the isosceles triangle = Length of the given leg side sizes
Therefore, the respective height and base of each right angled isosceles triangle are equal which gives the areas as follows;
Z = 1/2*5*5 = 12.5 unit²
Y = 1/2*4*4 = 8 unit²
X = 1/2*3*3 = 4.5 unit²
W = 1/2*4*3 = 6 unit²
(X + Y)/Z = (4.5 + 8)/12.5 = 12.5/12.5 = 1.
IM TIMED Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).
a.
(-7.7,-3)
c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)
Answer:
<-0.3, -7>
Step-by-step explanation:
Re: a vector from (-3.7,2) to (-4, -5).
This has two components: a horizontal one and a vertical one.
The horizontal component is -4 - (-3.7) = -0.3.
The vertical component is -5 - 2 = -7
Thus, the desired vector is <-0.3, -7>
Answer:
B on edge
Step-by-step explanation:
got it right (2021)
The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 2, shifted to the left by 8 units, and shifted up
by 3 units.
Find the equation of the function g(x) described above.
Answer:
We start with y = g(x) = f(x)
First, we have a vertical stretch by a factor of 2.
A vertical strech by a factor of A will be g(x) = A*f(x)
then in this case A = 2, so we have g(x) = 2*f(x)
Now we have it shifted left by 8 units.
We know that f(x - A) shift right the graph by A units (A positive), here A = 8.
then we have: g(x) = 2*f(x - 8)
Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)
Then we have: g(x) = 2*f(x - 8) + 3
now, our function was f(x) = Log₅(x)
then g(x) = 2*log₅(x - 8) + 3.
Answer:
g(x)=2log5(x+4)−8
Step-by-step explanation:
Which number is a rational number?
Answer:
[tex]\boxed{17.156}[/tex]
Step-by-step explanation:
A rational number can be written in the form p/q, where p and q are whole integers.
[tex]\sqrt{15} \approx 3.87298334621...\neq \frac{p}{q}[/tex]
[tex]2.6457513110... \neq \frac{p}{q}[/tex]
[tex]17.156=\frac{4289}{250}[/tex]
[tex]\sqrt[3]{85} \approx 4.39682967216... \neq \frac{p}{q}[/tex]
17.156 is a rational number.
Perform the required operationson the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)]
2x-6
2x+3
-x-6
Answer:
2x-6
Step-by-step explanation:
g[f(x)]
g(3-x)
-2x(3-x)
2[tex]x^{2}[/tex]-6x
2x-6
ASAP 25 POINTS NEED TO KNOW NOW PLEASE
Variable x is 7 more than variable y Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y?
A:x= 11
X = y + 7
B:X= y + 7
X = y - 1
C:y = x + 8
y=x-1
D:y = 7x
y = x + 1
Answer:
x = y+7
x = y -1
Step-by-step explanation:
Variable x is 7 more than variable y
is means equals
x = y+7
Variable x is also 1 less than y
x = y -1
Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?
Select one:
O a. y = -2x + 8
O b. 6x - 3y = 9
O c. 2x + 4y = -1
Answer:
C
Step-by-step explanation:
2 is the opposite of -1/2, so reciprocals line up for perpendicularity
someone help please lol I’m stuck !!!!!
━━━━━━━☆☆━━━━━━━
▹ Answer
2√15
▹ Step-by-Step Explanation
[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex]\mathrm{A.}[/tex] 2√15
Step-by-step explanation:
√4 × √3 × √5
Apply rule √a·√b·√c= √(abc)
√(4 × 3 × 5)
√60
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The highest perfect square is 4.
One of the pair factors of 60 is 4 and 15.
60 can be written as a product of 4 and 15.
√(4 × 15)
√4 × √15
√4 = 2
2 × √15
Which of the following equations have exactly one solution? Choose all answers that apply: (Choice A) -6x-6=-6x-103 (Choice B) -103x-6=-6x-103 (Choice C) -6x-6=103x-103 (Choice D) 103x-6=103x-103 I'll put the brainliest, if its the right ans.
Answer:
c but no step by step sorry
Answer: B and D
Step-by-step explanation:
Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish
Answer:
9 tomato and 23 radish
Step-by-step explanation:
r - number of radish seeds
t - number of tomato seeds
$1.75r + $2.50t = $62.75
1.75 (23) + 2.50 (9) = 62.75
40.25 + 22.5 = 62.75
$62.75 = $62.75
The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.
Hope that helps.
Answer:
9 tomato and 23 radish
Step-by-step explanation:
A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position. What is the maximum angle that the truck bed can tilt?
Answer:
Step-by-step explanation:
There are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.
To find the number of permutations of picking 4 pens from a box of 6 different colored pens, we can use the formula for permutations. The formula for permutations is given by:
P(n, r) = n! / (n - r)!
Where n is the total number of items and r is the number of items to be chosen.
In this case, we have 6 different colored pens in the box and we want to choose 4 pens. Plugging these values into the formula, we get:
P(6, 4) = 6! / (6 - 4)!
= 6! / 2!
= (6 × 5 × 4 × 3 × 2 × 1) / (2 × 1)
= 720 / 2
= 360
Therefore, there are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.
Learn more about permutations here: brainly.com/question/3867157
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A square has a length of 13m, find its area A. 1699m² B. 169m² C. 196m² D. 169m² I will mark you as brainliest
Answer: 169 m²
Step-by-step explanation:
The area of a square can be found by taking a side length(13), and squaring it, to get, in this case, 139.
Hope it helps <3
Answer:
169 m²
Step-by-step explanation:
To find the area of a square, we can apply a formula.
[tex]A=s^2[/tex]
[tex]A=area[/tex]
[tex]s=side \: length[/tex]
The side length is given 13 meters.
[tex]A=13^2[/tex]
Solve for [tex]A[/tex].
[tex]A=13 \times 13[/tex]
[tex]A=169[/tex]
The area of the square is 169 meters squared.
please I need help with this can anyone help me out
Answer:
x=110.6
Step-by-step explanation:
sine = opposite/hypotenuse
sin(19) = 36/x
Since we're trying to find x, you have to isolate it.
x = 36/sin(19)
Plug 36/sin(19) into a calculator and you will get 110.5759255
The question tells you to round to the nearest tenth so the answer is 110.6
Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal number of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received? A. 6p-7 B. [tex]\frac{6p}{7}[/tex] C. 6p+7 D. 7(6+p) E. [tex]\frac{6}{7p}[/tex]
Answer:
B. 6p/7
Step-by-step explanation:
6p = the total amount of pickles
The problem says that he distributes them evenly to 7 restaurants, so that's dividing.
So your answer is 6p/7
Answer: b 6p/7
Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.
Help me ASAP for this question Sean buys a binder for $12. If tax is 8%, what is the total cost of the binder?
$12.96 $13 $12.80 $12.08
Answer:
The cost of the binder is 12.96
Step-by-step explanation:
1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.
Answer:
1. 600 tiles
2. $120
3. 50.3cm2
Step-by-step explanation:
1. 520 x 140/ 13 x 7
600 tiles
2. Since length is 3 x width, length is 360.
20=5
360= 360/20= 18= 18 x 5= 90
20=5
120= 120/20= 6= 6 x 5= 30
90 + 30= 120= $120
3. 22/7 x 5 x 5= 78.5
22/7 x 3 x 3= 28.2
78.5-28.2= 50.3= 50.3cm2
*HURRY PLEASE ANSWER* Richard is asked to spray wash the exterior of a building that is shaped like a cube. He decides to calculate the surface area of the building in order to estimate how much water he will need. He does the calculation using the standard formula and, after doing the job, realizes he overestimated the amount of water he needed. Where was his mistake? a.) He forgot that there is no formula for the surface area of a cube. b.) He forgot to add the area of the base to the total surface are of the cube. c.) He forgot to square the result. d.) He forgot to subtract the area of the base from the total surface area of the cube.
Answer:
D. He forgot to subtract the area of the base from the total surface area of the cube.
Step-by-step explanation:
He is only spray washing the *exterior* of the building; the base is not exposed so it will not be spray washed, which means Richard can use less water.
Hope this helps. :)
Answer:
D
Step-by-step explanation:
i really need this can someone help solve asap!!!
Answer: to find this answer .we need to do pegothogs property
Step-by-step explanation:
30° + 90° = 90 (because it is right angle )
120° - 90° = 30°
Plz mark me as brainlist
thank you :-)
Mandy works construction. Shes knows that a 5 meter long metal bar has a mass of 40 kg.Mandy wants to figure out the mass (w) of a bar made out of the same metal that is 3 meters long and the same thickness.
Answer:
24 kg
Step-by-step explanation:
40/5 = 8 and 3x8 = 24
Answer:
24 kg
Step-by-step explanation:
[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]
Find m∠CBD,,,,,,,,,,
Answer:
angle CBD=125
Step-by-step explanation:
(8x-41)+(9x+17)=180
17x -24 = 180
17x=204
x=12
9(12)+17=125
Answer:
125
Step-by-step explanation:
The two angles from a straight line so they add to 180
ABC + CBD = 180
8x -41+ 9x+17 = 180
Combine like terms
17x -24 = 180
Add 24 to each side
17x -24+24 = 180 +24
17x = 204
Divide by 17
17x/17 = 204/17
x =12
We want angle CBD
CBD = 9x+17
= 9*12+17
=108+17
= 125