The height of the rectangular prism is 3 units.
What is rectangular prism?A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges.
Given:
Length(L)= 4 units
width(w)= 3 units
Diagonal(D) = [tex]\sqrt{34}[/tex] units
According to given question we have
The formula for rectangular prism is
[tex]L^{2} +w^{2} + h^{2} = D^{2} \\\\4^{2} +3^{2} +h^{2} =(\sqrt{34} )^{2} \\\\16+9+h^{2}=34\\\\25+h^{2}=34\\\\h^{2}=34-25\\\\h=\sqrt{9} \\\\h=3 units[/tex]
Therefore, the height of the rectangular prism is 3 units.
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Estimate the value of √13 by plotting it on a
number line.
Answer:
√ Using Pythagoras Theorem OB2 = OA2 + AB2 OB2 = 32 + 22 OB2 = 9 + 4 OB = √13
Step-by-step explanation:
Step 1: choose the lowest common denominator
find the sum: - and
2
3 04
5 6 8 10 12
the expression written in equivalent form with a
common denominator is
-
0 000
the sum is
0
-
Answer:
Step-by-step explanation:
LCD = 24Equivalent Fractions with the LCD1 1/2=36/243/8=9/245/6=20/243=72/24
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A rental car agency charges a flat fee of $131.00 plus $49.00 per day to rent a certain car. Another agency charges a fee of $77.00 plus $58.00 per day to rent the same car.
Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole number of days.6
11
3
12
The number of days for which the costs are the same is 6 days.
How to illustrate the information?Let the number of days be represented by d.
A rental car agency charges a flat fee of $131.00 plus $49.00 per day to rent a certain car. This will be
131 + 49d
Another agency charges a fee of $77.00 plus $58.00 per day to rent the same car. This will be
77 + 58d
Equate both equations
131 + 49d = 77 + 58d
Collect like terms
58d - 49d = 131 - 77
9d = 54
Divide
d = 54 / 9
d = 6 days.
Therefore, the number of days for which the costs are the same is 6 days.
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Where is the point (-3,1) located when it is translated four units left and two units up 
Answer:
-5,3. You crawl before you can walk.
Step-by-step explanation:
Answer:
(-7, 3)
Step-by-step explanation:
Original point: (-3, 1)
So original x = -3
4 units left means x coordinate is decreased by 4
So, new x-coordinate = -3 - 4 = -7
Original y coordinate = 1
2 units up means y coordinate increases by 1
So new y-coordinate = 1 + 2 = 3
Translated point = (-7, 3)
See graph for visual explanation
How do you answer 532÷4 using long division?
If we divide five hundred and thirty two by four using long division method, we obtain one hundred and thirty three.
What is long division?The term long division implies dividing repeatedly until we are able to arrive at the final result. In this case, we are asked to carry out the division of 532÷4 using long division.
First we have to divide the digits one after the other. This process is a bit iterative and takes a little time for us to do in the process of the long division.
Now; when we divide five by 4 we obtain one remainder one we then add the one that remains to thirty two and we have one hundred and thirty two.
Then we divide one hundred and thirty two by four, we can see that there are thirty three fours in one hundred and thirty two. The final result of our long division now becomes one hundred and thirty three.
Thus, if we divide five hundred and thirty two by four using long division method, we obtain one hundred and thirty three.
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Question
You buy a container of cat litter for $12.25 and a bag of cat food for x dollars. The total purchase is $19.08, which includes 6% sales tax. Write and solve an equation to find the cost of the cat food.
Answer:
19.08-6%=12.25+x
18.00=12.25+x
18.00-12.25=5.75
x=5.75
cat food is $5.75
Step-by-step explanation:
what are the area and perimeter of 7in 16in
The Area and Perimeter of the rectangle is 112 Inches² and 46 Inches respectively.
Suppose in question they are talking about rectangle.
So, let
Length (l) of rectangle = 16 Inches
Width (w) of rectangle = 7 Inches
As we have both sides of rectangle now we will determine the value of area and perimeter of rectangle.
Area of rectangle = l × w
= 16 × 7
= 112 Inches²
Perimeter of rectangle = 2( l + w )
= 2( 16 + 7 )
= 2 × 23
= 46 Inches
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QUICK!!
solve the tables pls
A function that represents the meters Jackie can run in any given minutes is b = 150m.
The meters she would run after 12 minutes is 1,800 meters.
How many meters can she run in 12 minutes?The independent variable is the variable that cannot be altered in the process of an experiment. The independent variable is the minutes ran by Jackie.
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable. The dependent variable is the total distance that Jackie runs.
The function that represents the distance run is:
Total distance = distance run per minute x number of minutes
b = 150 x m
b = 150m
Distance run in 12 minutes = 150 x 12 = 1800 meters
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Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h. She works a 40-hour week but averages 3 hours of overtime each week, paid at time and a half. How much will she earn each week, and for the whole summer?
1. The weekly amount that Natalie will earn will be $679.515.
2. The amount earned in the summer will be $5436.12.
How to illustrate the information?Overtime pay = 1.5 × 15.27 = $22.905
Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h.
The weekly amount will be:
= 15.27 × 40 + (3 × $22.905)
= $610.80 + $68.715
= $679.515
The amount earned each summer will be:
= 8($610.80 + $68.715)
= $5436.12
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Solve each equation. Round to the nearest ten-thousandth. 25²x=125
The value of the given equation 25²x=125 Round to the nearest ten-thousandth = 0.2000.
What do you meant by round off number?A round number is an integer that, in a particular base, terminates with one or more "0s." So, while 590 is rounder than 592, it is less round than 600. In specialist and casual language, a round numeral is usually taken to reflect a value or values near to the nominal value expressed.
According to the given data:given :
25²x=125
simplifying:
25²x=125
(25²)x=125
625x = 125
x = 125/625
x = 0.2000
The value of the given equation 25²x=125 Round to the nearest ten-thousandth = 0.2000.
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While working for a contracting company, you are preparing for a job tiling a floor. The customer says that the
rectangular laundry room is 15 feet by 8 feet, 8 inches. To place the order for the floor covering, you must calculate the
area.
What is the area of the laundry room, in square feet, to the nearest square foot?
65
130
132
9,360
18,720
Answer:
(2)
15x8.66666667=130.00000005
Step-by-step explanation:
to get the are in square feet you have to Length (in feet) x width (in feet) = area in sq. ft.
un confesionario tiene 120 coches el 35% son blancos y el 5% rojos. ¿cuántos coches de cada color hay?
A student decides it is possible to estimate the capacity of a test tube by treating it as a
rectangle and neglecting it's "roundness". On this basis, the student finds the capacity of the
test tube to be 100.5 ml. In fact, the real capacity of the test tube is 100.0 ml. What percent
error has resulted from the student's assumption?
The percent error that has resulted from the student's assumption is 0.5%.
The percent error is used to calculate the percentage error between an experimental measured value and a theoretical actual value.
Percentage error formula = |E-T|/|T| x 100
where E is the experimental value and T is the theoretical value.
Given, the experimental measured value (E) = 100.5 ml and theoretical actual value (T) = 100.0 ml
By using the Percentage error formula, simply put the value of the capacity of the test tube which was found by the student as an experimental measured value and real capacity of the test tube as a theoretical actual value, we get
=|(100.5−100.0)||100.0| × 100
=0.5/100×100
=0.005×100
=0.5%
=0.5% error
∴ 0.5% error has resulted from the student's assumption.
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can someone help me with these 3 answers ?
Answer:
b = 14
c = -2
d = 74
Step-by-step explanation:
use calculator
b = 4 - (-10)
c = 6 ÷ (-3)
d = (7×7) + (5×5)
4. If m/3 = 54°, find the measure of each missing angle.
540
4
2. 3
7
10
6/5
58
9
11
12 13.
14
a. m/1 =
36
b. m/2 = 40
c. m/4 =
36
d. m25 =
40
e. m26 = 54
f. m27 = 126
9. m28=
54
h. m29 = 126
i. m210 = 54
j. m/11=
54
k. m/12 = 126
1. m/13 = 54
m. m/14 = 120
Gina Wilson (All Things Algebra),2014
Using multiple line and angle theorems, the values of each of the 14 angles are given.
Using the geometry theorems :
1.)
∠2 is a right angle = 90°
2.)
∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)
90 + ∠1 + 54° = 180°
∠1 = (180 - 144) = 36°
(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;
Hence,
∠4 = 36°
∠5 = 90°
∠6 = 54°
∠3 = ∠8 = 54° (corresponding angles)
∠9 + ∠8 = 180° (sum of angle on a straight line)
∠9 = (180 - 54) =126°
∠7 = ∠9 = 126° (vertically opposite angles)
∠8 = ∠10 = 54° (vertically opposite angles)
∠4 = ∠13 = 36° (corresponding angles )
∠12 + ∠13 = 180° (sum of angle on a straight line)
∠12 = (180 - 36) =126°
∠11 = ∠13 = 36° (vertically opposite angles)
∠12 = ∠14 = 126° (vertically opposite angles)
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After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
b. How many students should there be to clear debris from an average-sized yard in at most 25 minutes?
9 students should there be to clear debris from an average-sized yard in at most 25 minutes.
What do we mean by time?Time is the seemingly irreversible succession of existence and events that occur from the past, through the present, and into the future. It is a component quantity of various measurements used to sequence events, compare the duration or intervals between events, and quantify rates of change of quantities in material reality or conscious experience. Along with three spatial dimensions, time is frequently referred to as a fourth dimension.So,
According to the given table:
t = k/nt = 2525 = 225/n ⇒ n · 25 = 225/n · n25n/25 = 225/25 = 9 studentsTherefore, 9 students should there be to clear debris from an average-sized yard in at most 25 minutes.
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6.961 x 10^27 as a percentage?
The number given as 6.961 x 10^27 as a percentage is 6.961 x 10^29%
How to express the number as a percentage?The number is given as
6.961 x 10^27
To express the number given as 6.961 x 10^27 as a percentage, we simply multiply the number by 100%
So, we have:
6.961 x 10^27 = 6.961 x 10^27 * 100%
Express 100 as 10^2
So, we have:
6.961 x 10^27 = 6.961 x 10^27 * 10^2%
Apply the law of indices, when evaluating the product
So, we have:
6.961 x 10^27 = 6.961 x 10^29%
Hence, the number given as 6.961 x 10^27 as a percentage is 6.961 x 10^29%
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Trusting u guys with my life rn
Answer:
78.5
Step-by-step explanation:
How to calculate circumference?? To calculate circumference, you multiply the diameter by pi.
Diameter: 25
Pi: 3.14
25 x 3.14 = 78.5
The circumference is 78.5 inches or just 78.5 if you cant put the inches part
A=(r+b/4)m solve for r
The expression A=(r+b/4)m can be solved for r and r = (4A - mb)m after simplification.
What is an expression?the act of expressing or setting forth in words: the free expression of political opinions. a particular word, phrase, or form of words: old-fashioned expressions. the manner or form in which a thing is expressed in words; wording; phrasing: delicacy of expression.
According to the given data:A=(r+b/4)m given:
solve for r.
Now,
A=(r+b/4)m
4A=rm + mb
rm = 4A - mb
r = (4A - mb)m
Thus, the expression A=(r+b/4)m can be solved for r and r = (4A - mb)m after simplification.
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Word problem to find the translation
Answer:
3 units left and 2 units down
Step-by-step explanation:
The ordered pair is written (x,y) The x tells us the location right or left from the origin (0,0) and the y tells us the up or down from the origin (0,0).
We are translating the point from (6,4) to (3,2) Look at the x values. We start at 6 and move to 3. That means that we moved 3 units to the left.
Now look at the y values. We start at 4 and move to 2. That means that we moved down 2 spaces.
Tell which set or sets the number -10 belongs to
Answer:
1-10 2-10 5-10 10-10
Step-by-step explanation:
A virus doubles every 3 hours. If there were 3 cells to begin with, how many will there be after one day?
Riya is applying mulch to her garden. She applies it at a rate of 250{,}000\text{ cm}^3250,000 cm
The rate which the mulch is being applied is 250,000 cm^3/cm^2
How to determine the rate which the mulch is being applied?The statement is given as
Rita is applying 250,000 cm^3 of mulch per m^2 of the garden space
This means that the rate is
Rate = Volume of mulch/Area of garden space
Substitute the known values in the above equation
So, we have
Rate = 250,000 cm^3/cm^2
Hence, the rate which the mulch is being applied is 250,000 cm^3/cm^2
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Solve each equation. Round to the nearest ten-thousandth. 7 x⁻³=25
According to the given data the solution for the given equation 7 x⁻³=25 is 0.65421.
How do they solve logarithms?To solve a logarithm, first determine the base, which really is "b" in the equation, the exponent, which is "y," and the exponentially expression, which is "x." Then, move the exponential expression around one side of the equation and transfer the exponent to the base by multiplying the base alone the number of times.
According to the given statement:Given 7 x⁻³=25
We know that:
multiplying the both side by x³ we get:
7 x⁻³=25
7 = 25x³
x³ = 7/25
x = ∛(7/25)
0.65421
The solution for the given equation 7 x⁻³=25 is 0.65421.
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rapunzel bought 9.54 pounds of grapes and 4.51 pounds of bananas. what is the total amount of the fruit
Answer:
14.05 lb
Step-by-step explanation:
9.54 + 4.51 = 14.05 lb
A quadratic function is shown on the graph.
an upward opening parabola beginning with closed circle at negative 2 comma 4, which decreases to a vertex at 0 comma 0 and then increases to an open circle at 3 comma 9
What is the range of the function?
{x | −2 ≤ x < 3}
{x | −2 < x ≤ 3}
{y | 0 ≤ y < 9}
{y | 0 < y ≤ 9}
The range of the quadratic function is {y |0 ≤ y < 9}
What is the range of a function?The range of a function is the set of output values of the graph. This in other words mean the range of a function is the set of y values of the graph.
How to determine the range of the function?From the question, we have the following parameters:
The parabola opens upwardVertex = (0, 0)Closed circle point = (-2, 4)Open circle point = (3, 9)Write out the vertex
So, we have
Vertex = (0, 0)
Remove the x value
y = 0
From the question, we have
The parabola opens upward
This means that the vertex is a minimum
So, the range is
y ≥ 0
Rewrite as
0 ≤ y
Recall that:
Closed circle point = (-2, 4)
Open circle point = (3, 9)
Remove the x values
Closed circle point = 4
Open circle point = 9
Remove the smaller y value
Open circle point = 9
This means that the highest value of y is at open circle point = 9
This is represented as
y < 9
So, we have
0 ≤ y and y < 9
Combine both
0 ≤ y < 9
Rewrite properly as
{y |0 ≤ y < 9}
Hence, the range of the quadratic function is {y |0 ≤ y < 9}
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Answer:
the range of the quadratic function is {y |0 ≤ y < 9}
Step-by-step explanation:
i got it right on the test
Please answer the problems step by step. (More than one question)
1. (2-3)(-8+2)+|-3+5|=?
2. -|-2-5+3|(5-2)=?
3. use two unit multipliers to convert 80ft into centimeters
4. use two unit multipliers to convert 12 square feet into square inches.
Answer:
1) 8
2) -12
3) 80ft = 2438.4 centimetres
4) 12 square feet = 1728 square inches
Step-by-step explanation:
1) ➟ (2−3)(−8+2)+|−3+5|
➟ (-1)(-6)+(2)
➟ 8
2) (−|−2−5+3|)(5−2)
=(−|−7+3|)(5−2)
=(−|−4|)(5−2)
=−4(5−2)
=(−4)(3)
=−12
3) 80ft = 2438.4 centimetres
4) 12 square feet = 1728 square inches
Use a half-angle identity to find the exact value of sin 90°
Answer:
1
Step-by-step explanation:
[tex]\sin \frac{180^{\circ}}{2}=\sqrt{\frac{1-\cos 180^{\circ}}{2}} \\ \\ \sin 90^{\circ}=\sqrt{\frac{2}{2}} \\ \\ =1[/tex]
i need help with this math and i don’t really understand
Answer:
Point G
Step-by-step explanation:
It is point G because since you mirrored it and flipped it, you need to flip figure one and if you move it to where figure two is, in the same place, the new point R is where point G is, so G corresponds to R
P.S. someone else aske the same question
pleaseee explain
round to the nearest decimal point
Given the following relation:
[tex] \frac{1}{A } = \frac{55}{26} \\ [/tex]
We can solve for A, by taking the reciprocal on both sides, meaning we flip the fractions. This operation does not change our original relation.
[tex] \frac{A}{1} = \frac{26}{55} \\ or \: A = \frac{26}{55} [/tex]
Approximation to the nearest tenth place:
[tex]A = \frac{26}{55} \approx0.4[/tex]