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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.
A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.
Answers
EXPLANATION: use pythagorean theorem
Related Questions
What is the height of cylinder pictured below?
144
12
8
54
Answers
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
PLEASE HELP!!!!!!!!! I NEED IT
The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.
Answers
Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = [tex]\frac{x}{100}[/tex]
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
Question 3
Name the transformations of the next equation y
Answers
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answers
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answers
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
Which two types of lines only meet inside the triangle?
Answers
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Answers
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Copper costs £5 per kilogram.
Zinc costs £3.20 per kilogram.
Copper and zinc are mixed in the ratio 4:1 to make brass.
Work out the cost of 7 kilograms of brass
Answers
Answer:
4x(5)+1×(3.20)= 20+3.20=23.20
Step-by-step explanation:
The cost of 7kg of brass is £32.48.
What is ratio?
A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
According to the given question.
Cost of one kg of copper = £5
Cost of one kg of zinc = £3.20
Also, copper and zinc are mixed in the ratio 4:1.
Let the quantity of copper be 4x and the quantity of zinc 1x.
Weight of brass = 7kg
⇒ 4x + 1x = 7
⇒ 5x = 7
⇒ x = [tex]\frac{7}{5}[/tex]
⇒ x = 1.4
Weight of copper, 4x = (1.4)(4) = 5.6kg
Weight of zinc, 1x = (1) ×(1.4) = 1.4kg
Therefore,
The cost of 7kg of brass
= (5.6)×(£5) + (1.4)(£3.20)
= 28 + 4.48
= £ 32.48
Therefore, the cost of 7kg of brass is £32.48
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Find the area of the shape
Answers
Answer:
I think the answer is 672 please be right
(14-8=6)
So 6x6 =36
48+36=84cm^2
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answers
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
Reduce to simplest form -9/11 - (-7/4)
Answers
Answer:
74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
#2) Which of the following would be considered a financial advantage of renting a
house or apartment?
Renters receive no federal income tax benefits.
Renters do not have the maintenance costs associated with home ownership.
Renters do not build equity on the house they rent.
O None of the above
Answers
Home owners have to pay for all costs & repairs needed which can be $$$$
Renters do not have the maintenance costs associated with home ownership. Therefore, option B is the correct answer.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Both renting and buying have their financial advantages, and owning a home isn’t right for everyone.
Unlike homeowners, renters have no maintenance costs or repair bills and they don't have to pay property taxes.
Amenities that are generally free for renters aren't for homeowners, who have to pay for installation and maintenance.
Renters do not have the maintenance costs associated with home ownership.
Home owners have to pay for all costs & repairs needed.
Therefore, option B is the correct answer.
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What is the measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answers
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°
Which function is graphed below?
Answers
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
ill mark brainlist plss help
Answers
Answer:
222 ft
Step-by-step explanation:
add 15 ft to each side of the length and width
L = 28 + 30 = 58
W = 23 + 30 = 53
perimeter = 2(L + W) = 2(58 + 53) = 222 ft
Answer:
222 ft
Step-by-step explanation:
The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing
The table below models a exponential function. Find f(8)
Answers
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
Grace is going to invest in an account paying an interest rate of 3.8% compounded
continuously. How much would Grace need to invest, to the nearest cent, for the
value of the account to reach $46,000 in 13 years?
PLEASE HELP ME URGENT
Answers
Answer:
P≈28068.32
Step-by-step explanation:
Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
We have given that,
Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.
We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.
What is the formula of a compounded continuously?
[tex]A=Pe^{rt}[/tex]
A=46000, t=13 ,r=0.038
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]
[tex]P=\frac{46000}{e^{0.507}}[/tex]
[tex]\quad P=27705.78944[/tex]
Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
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A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answers
Answer:
f(x)=9sin(6πx)+3
Find the measure of
Answers
Answer:
the measure of what?????
A local hamburger shop sold a combined total of 486 hamburgers and cheeseburgers on Sunday. There were 64 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answers
Answer:
Step-by-step explanation:
h and c are the numbers of hamburgers and cheeseburgers, respectively.
“a combined total of 486 hamburgers and cheeseburgers”
h + c = 486
“64 fewer cheeseburgers sold than hamburgers”
c = h - 64
Substitution:
h + (h-64) = 486
2h = 550
h = 275
275 hamburgers were sold
Which statements about the values 0.034 and 3.40 are true?
Answers
Answer:
Hope this helps! If I can have brainliest I'm trying to rank up.
Step-by-step explanation:
3.4 is 100 times more than 0.034.
0.034 is 1/100 of 3.4.
We look at the statements about the values of 0.034 and 3.40 are true.
0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .
So, 3.4 is 100 times more than 0.034.
3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .
So, 0.034 is 1/100 of 3.4
Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.
Answers
Answer:
your answer will be C. The function has an inverse because it passes the horizontal line test.
bye have a nice day ^_^
C. The function has an inverse because it passes the horizontal line test.
What is function ?A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.
The relation f from a domain set to co-domain set is called function.
Example : f = {(x, y) | for all x∈X & y∈Y}
A relation becomes function when every element of domain has one and only one image in co-domain.
What is inverse of function ?If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]
Inverse function of a function always undoes the operations of the function f.
f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.
Which is the correct option ?From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.
Hence the option C is the correct one.
C. The function has an inverse because it passes the horizontal line test.
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If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
L-6=W+3
L=W+9
LW-(L-6)(W+3)=27, using L from above makes this
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
W=12, since L=W+9
L=12+9=21
A=LW
A=21(12)
A=252 cm^2
The area of the rectangle is 252 cm^2.
Calculation of the area of the rectangle:Since
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.
So it can be like
L-6=W+3
L=W+9
Now
LW-(L-6)(W+3)=27
So,
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
Also,
W=12, since L=W+9
L=12+9=21
So,
A=LW
A=21(12)
A=252 cm^2
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18. A circle has a circumference of 37.68 inches. Follow the steps below to find its radius. Use
3.14 for
2. Fill in the blanks, using the formula C = dr.
b. Solve ford by dividing both sides by 3.14.
What does the answer in part b represent?
d. What is the length of the radius of the circle?
Answers
Answer:
C = dπ
37.68 = d(3.14)
d = 12 inches
2r = d
2r = 12
radius = 6 inches
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
Answers
Bro pls help em bro pls help me bro
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ME :’)
determine the value of X
Answers
Answer:
x = 26degrees
Step-by-step explanation:
The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,
(2x) + (3x) + (50) = 180
Simplify,
5x + 50 = 180
Inverse operations,
5x + 50 = 180
-50 -50
5x = 130
/5 /5
x = 26
193 students are attending the next reward trip. There are eight drives available and two types of vehicles,
school buses and minivans. The school buses seat 51 people each and the minivans seat 8 people each. How
many buses and minivans will be needed?
Answers
Answer:
3 busses and 5 vans
Step-by-step explanation:
3 x 51 = 153
193 - 153 = 40
40 / 8 = 5
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answers
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answers
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle