Answer:
Step-by-step explanation:
more info
Jonathan is building a box in the shape of a rectangular prism with
dimensions of inches by inches by inches. He plans to place a
diagonal brace inside the box from point to point . A diagram of
his box is shown.
The length of the diagonal brace when Jonathan is building a box in the shape of a rectangular prism is 17 inches.
How to calculate the length?From the information given, the dimensions are given as 8 inches by 12 inches by 9 inches.
Therefore, the length of the diagonal brace will be:
= ✓12 + ✓8 + ✓9
= ✓289
= 17
In conclusion, the correct option is 17 inches.
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Find the value of n.
Answer:
n=45
Step-by-step explanation:
Sum of interior angles can be calculated using formula: 180(number of sides - 2).
Hexagon has: 720 degrees. we subtract two right angles and get 4x=540. The x is the angle supplement to n. x=135 => 180-x=35 => n=45.
Tea Off served a total of 7,330 cups of chamomile tea to its customers last year. This year, the number
of served was 10% lower. How many cups of chamomile tea did the care serve this year?
Answer:
6,597 cups
Step-by-step explanation:
y=0.9x x=7,330 7,330 x 0.9= 6,597
The probability that Lexie is on time for a given class is 95%. If there are 32 classes during the semester, what is the best estimate of the number of times out of 32 that Lexie is on time to class? Round your answer to the nearest integer.
Answer:
between 31 and 29 classes
Step-by-step explanation:
The best estimate of the number of times out of 32 that Lexie is on time to class is 30.4.
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given:
The probability that Lexie is on time for given class is 95% and there are 32 classes during the semester.
So,
=32 * 0.95
= 30.4
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HELP
The ceiling of Joey's living room is a square that is 22 ft long on each side. Joey knows the diagonal of the ceiling from corner to corner must be longer than 22 ft.
(a) he thinks that because a square cut and half forms a special right triangle the diagonal as the hypotenuse so he multiplies the side by 2 to get 44 ft what is Joey's mistake
(b) what is the correct length of the diagonal in Joey ceiling used to correct the special right triangles shortcut (give exact answer no rounding)
(c) used either the pythagorean theorem or the correct trigonometry ratios to solve for the length of the diagonal ( round to nearest tenth of a foot )
make sure to show all your work
I will report if you comment something random to just get points
Answer:
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the length of the diagonal, Usinng Pythagoras:
d² = 22² + 22²
d = 31 feet
Using trigonometric identity:
sin(45) = 22/d
d = 31 feet
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
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Step-by-step explanation:
Luis has a bag that contains strawberry chews, apple chews, and peach chews. He performs an experiment. Luis randomly removes a chew from the bag, records the result, and returns the chew to the bag. Luis performs the experiment 37 times. The results are shown below:
A strawberry chew was selected 8 times.
A apple chew was selected 14 times.
A peach chew was selected 15 times.
Based on these results, express the probability that the next chew Luis removes from the bag will be a flavor other than strawberry as a fraction in simplest form.
The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is
[tex]\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}[/tex]
Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).
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Helium is a gas lighter than air that is used in balloons. The density of
helium is approximately 0.14 kilograms per cubic meter. You get 5 helium balloons for your 5th birthday, each with a volume of 14 cubic meters. How many kilograms of helium do the balloons contain, to the nearest hundredth?
Using proportions, given the density value, it is found that the ballons contain 9.8 kilograms of helium.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we have that each ballon contain 0.14 kilograms per cubic meter.
You get 5 ballons, each with 14 cubic meters, hence the total volume is given by:
V = 5 x 14 = 70 m³.
Applying the density, we have that the total mass is given by:
M = 0.14 x 70 = 9.8 kilograms.
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What was done to the linear parent function, f(x) =X, to get the function g(x) =X1/5x
f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Instructions: Write the equation of the line in Slope-Intercept Form
Answer:
y = -1/4x + 1
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
The y-intercept of the line is 1, so in slope-intercept form, b will be 1.
Now, the line also intersects the y-axis at (4, 0). We can plug these two points into slope formula to find the slope: (0-1)/(4-0) = -1/4.
Therefore, the equation of the line is y=-1/4x + 1
PLEASE HELP! Need answer fast
Answer:
B.
Step-by-step explanation:
Because if you look closely you will be able to tell which answer it is by looking at the way the shape formed andjust breakaprt the shape .
How many rolls of wallpaper, each 10 yards long and 24 inches wide, will paper the sides of a room 12.1 feet by 17.1 feet and 8 feet high, deducting 129 ft2 for doors and windows?
Answer:
That corresponds to a width of 3.5 feet, so a yard of paper covers an area of 3 x 3.5 = 10.5 square feet
Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller bath, so he uses only 3 cups of shredded cheese How much milk does Nolan need for this smaller batch _____ tablespoons
Question 8 (1 point) (04.03 MC) Calculate the area of triangle ABC with altitude CD, given A (-3,-4), B (-6,2), C (0,0), and D (-4,-2). Оа 14 square units Oь Ос 15 square units 18 square units Od 20 square units
Answer:
the answer is C
Step-by-step explanation:
I need help pls help pls help im writing this so this thing will stop bugging me to have a longer sentence
Answer:
The slope is 6
Step-by-step explanation:
m = y2 - y1/x2 - x1
ΔX = 3 – 2 = 1
ΔY = 7 – 1 = 6
6/1 = 6
Find the Value of X.
Answer:
x = 50
Step-by-step explanation:
The marked angles are vertical angles, so are congruent.
3x -3 = 147 . . . . congruent angles have equal measures
x -1 = 49 . . . . . divide by3
x = 50 . . . . . . add 1
Given the circle below with the secant FED and tangent CD, find the length of FE. Round to the nearest tenth if necessary.
The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units
How to determine the length FE?The lengths are given as:
DE = 12 unitsCD = 16 unitsStart calculating the length DF using:
DE * DF = CD²
So, we have:
12 * DF = 16²
Evaluate the exponent
12 * DF = 256
Divide both sides by 12
DF = 21.3
The length FE is then calculated using:
DF = FE + DE
Substitute DE = 12 and DF = 21.3
21.3 = FE + 12
Subtract 12 from both sides
FE = 21.3 - 12
Evaluate the difference
FE = 9.3
Hence, the length of FE in the circle is 9.3 units
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Andrea spelled 18 out of 24 words correctly on a test. What percent of the words did
Andrea spell correctly?
Answer:
75%
Step-by-step explanation:
Solve for X:
Use the side-splitting theorem to solve for x.
If necessary, round your answer to the nearest tenth.
Answer:
x=13
Step-by-step explanation:
Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, it divides both sides proportionally.
21/14 =1.5
6x1.5 = 9
x-4=9
x=13
4x+3(x-1)=67 solve for x
Answer:
x = 10
Step-by-step explanation:
Answer:
[tex]\bf x=10[/tex]
Step-by-step explanation:
[tex]\tt 4x+3(x-1)=67[/tex]
Use the distributive property to multiply 3 by x-1:-
[tex]\tt 4x+3x-3=67[/tex]
Combine 4x and 3x = 7x:-
[tex]\tt 7x-3=67[/tex]
Add 3 to both sides:-
[tex]\tt 7x=70[/tex]
Divide both sides by 7:-
[tex]\tt \cfrac{7x}{7} =\cfrac{70}{7}[/tex]
[tex]\tt x=10[/tex]
Help please!! MY LIFE DEPENDS ON THIS
1 in = 12 ft
1 in = 4 ft
Above are two different diagrams of the same backyard. If the length of the diagram on the left is 6 in, what is the length of the
diagram on the right?
OA. 19 in
ОВ.
18 in
OC. 2.00 in
OD. 9 in
Answer:
c 2.00 in vec ay se the back yard
im sorry i just suck i need help again pllsssssssssssss
Question 15 of 20
A toy maker needs to put a rectangular piece in the side of a toy. He knows
from measuring that the top and bottom of the piece have a width of 4
inches. He also measured one length to be 3 inches. What is the length of the
last side?
A. 3 inches
B. 2 inches
C. 7 inches
D. 4 inches
Answer: 3 inches
Step-by-step explanation:
50 points each question. Please help. How do I solve?
[tex]I=\displaystyle \int \dfrac{\sqrt x}{\sqrt x -4} ~dx\\\\\text{Let,}\\\\~~~~u=\sqrt x-4\\\\\implies \dfrac{du}{dx} = \dfrac d{dx} \left( \sqrt x -4 \right)\\\\\implies \dfrac{du}{dx} = \dfrac 1{2 \sqrt x} \\\\\implies dx =2\sqrt x~ du\\\\\\I= \displaystyle \int \dfrac{u+4}{u+4 -4 } 2(u+4) du\\\\\\~~~=2\displaystyle \int \dfrac{(u+4)^2}{u} du\\\\\\~~~=2\displaystyle \int \dfrac{u^2+ 8u+16}{u} du\\\\\\~~~=2\displaystyle \int \left(u+8+\dfrac{16}u\right) du\\\\\\[/tex]
[tex]~~~=2\left(\displaystyle \int u ~ du + \displaystyle \int 8 ~ du + \displaystyle \int \dfrac{16} u ~ du\right) \\\\\\~~~=2\left( \dfrac {u^2}2 + 8u+16\ln |u| \right) +C\\\\\\~~~~= u^2 + 16u+ 32 \ln |u|+C\\\\\\~~~~=\left( \sqrt x -4 \right)^2 + 16\left( \sqrt x -4 \right) +32 \ln |\sqrt x -4|+C\\\\\\~~~~= x-8\sqrt x+16 +16\sqrt x -64 +32 \ln \left|\sqrt x-4 \right|+C\\\\\\\~~~~=x+8\sqrt x -48 +32\ln|\sqrt x -4| +C[/tex]
Jim drank 245 cups of orange juice and Jack drank 1110 cups less than Jim.
How much juice did jack drink? Explain your answer.
(i need a good explanation or i will get it wrong:(
Answer:
Step-by-step explanation:
Jim drank 2 and 4/5 orange juice
2and 4/5=14/5 orange juice
jack drank 1and 1/10 less than Jim= 11/10 less than Jim
I introduce the whole numbers into the fractions
we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator
(14/5 )*2=28/10
Now we can find out how much juine Jack drank
28/10- 11/10= 17/10
so Jack drank 17/10 orange juice , the fraction can be written also as
1 and 7/10
Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out a jack of spades and then, without replacing the card to the deck, pick out a jack of diamonds?
Answer:
1/2652
Step-by-step explanation:
52 cards one jack spades 1/52
now 51 cards left one jack diamonds 1/51
1/52 * 1/51 = 1 / 2652
Let f(x)=2x-3 and g(x)=x+4. Find f(g(x)) and g(f(x)).
f(g(x)) =
Answer:
f(g(x)) = =2(-x^2+5)-3
=-2x^2+10-3
=-2x^2+7
Sorry, I'm not sure about g(f(x)).
Step-by-step explanation:
f(g(x))=f(-x^2+5)=2x-3
=2(-x^2+5)-3
=-2x^2+10-3
=-2x^2+7
Find and interpret the mean absolute deviation of the data. 8,12,4,3,14,1,9,13
pleaseeee answer I really need help and I will fail math if I don't have an answer!
Answer:
Mean Absolute Deviation: 4
Step-by-step explanation:
A mean absolute deviation is measured how much the values in the data set are likely to differ from the mean.
please i really need help right now 25 points
Answer:
C.
Step-by-step explanation:
1) domain is: x≥7; range f(x)≥9.
2) answer C
Which is a valid sample of middle school students?
⚫️every tenth boy entering the school
⚫️every third student attending an after-school activity
⚫️every third student who enters each homeroom
⚫️every tenth person attending a school football game
Answer:
Every third student who enters each homeroom
Step-by-step explanation:
This would produce the least biased results as every third student gives a 3/x for students and there are y homerooms, giving the least biased results.