Answer:
42 cubic units
Step-by-step explanation:
A rectangle prism formula is V = l x h x w.
The length is 7
The height is 3
The width is 2
Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42
The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the rectangular prism is given as,
V = length × height × width
Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.
V = 7 x 3 x 2 = 42 units³.
Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".
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the perimeter of a circle is 132 calculate its diameter
Answer:
42
Step-by-step explanation:
The perimeter of circle is same as it’s circumference.
Circumference = π * D
132 = 22/7 * D
22D = 7 * 132
22D = 924
D = 924/22
D = 42
Answer:
42.0
Step-by-step explanation:
For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula
⇒ Circumference of a circle = π × d
We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,
⇒ Form the equation
→ π × d = 132
⇒ Divide both sides by π to isolate d
→ d = 42.0169049763
The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place
Their vehicles was recorded for each sample. The sample proportions were used to construct the 95 percent confidence interval for a difference in population proportions (FWD minus AWD ) for satisfied owners. The interval is given as (−0.01,0.12) . A car company believes that the proportion of satisfied owners of AWD AWD vehicles differs from the proportion of satisfied owners of FWD FWD vehicles. Does the confidence interval provide evidence that this belief is plausible?
Answer:
[tex] -0.01 \leq p \leq 0.12[/tex]
The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/
For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained
Step-by-step explanation:
The confidence interval for the true proportion would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
And for this case we have the following result:
[tex] -0.01 \leq p \leq 0.12[/tex]
The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/
For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained
The absolute value of -1/4 is
Answer: 1/4
Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.
what is the slope of the line passing through (2,9) and (2,-14)
Answer:
The slope is undefined
Step-by-step explanation:
When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined
PLZ HURRY I'M GOING TO GET A LOT OF QUESTION S
What is the surface area of the composite figure shown? 107 square feet 172 square feet 279 square feet 321 square feet
Answer:
it is 279 square feet
Step-by-step explanation:
Answer:
279 sq. feet
Step-by-step explanation:
got the question correct
Edg.
square root of 52 to the nearest 100th
Answer:
7.211
Step-by-step explanation:
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Pythagorean Theorem.
Answer:
d = 5.4
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
a = 2
b = 5
2^2 + 5^2 = c^2
4 + 25 = c^2
29 = c^2
c = 5.4
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Using pythagorean theorem you will get 5 squared plus 2 squared equals c squared. Which is 25+4= 29 = c squared. That's the answer it wont simplify any further.
5 (3-n)=2n+1
How do I solve this problem? Please help me. Thank you very much.
Step-by-step explanation:
15 - 5n = 2n + 1
Bringing like terms on one side
15 - 1 = 2n + 5n
14 = 7n
14/ 7 = n
2 = n
Answer:
Step-by-step explanation:
First distribute. 5•3 and 5•n.
This gives you 15-5n=2n+1
Next add 5n to both sides.
This will give you 15=7n+1
Then you will subtract 1 from both sides.
14=7n
Finally you divide by 7 so you can get n by itself.
Your answer will be 2=n
You can always go back and plug your answer in to see if it works!
In a math class of 35 students, 17 boys and 18 are girls. On a unit test, 8 boys and 12 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a boy or an A student?
Answer:
29/35
Step-by-step explanation:
probability of choosing a boy or an A student = (boys + a students - a boys)/total -->
probability of choosing a boy or an A student = (17 + 20 - 8)/35 -->
probability of choosing a boy or an A student = 29/35
The probability of choosing a boy or an A student is equal to 29/35.
We have given that,In a math class of 35 students, 17 boys and 18 are girls.
On a unit test, 8 boys and 12 girls made an A grade.
What is the formula for probability?
The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
Probability of choosing a boy or an A student = (boys + a student- a boys)/total Probability of choosing a boy or an A student.
= (17 + 20 - 8)/35
Therefore, the probability of choosing a boy or an A student = 29/35.
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The point P=\left(-\frac{1}{2},\,\, y\right)P=(− 2 1 ,y) lies on the unit circle shown below. What is the value of yy in simplest form? X y (1, 0) P (x, y
Answer:
[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]
Step-by-step explanation:
We are given a point P which lies on a unit circle
P = (-½, y)
Where x coordinate is -½ and y coordinate is y.
We are asked to find the value of y in simplest form.
Recall that a unit circle has a radius of 1 and is centered at the origin that is (0,0).
The equation of the unit circle is given by
[tex]x^{2} + y^{2} = 1[/tex]
Since the point P lies on a unit circle, we can substitute this point into the equation of unit circle and get the value of y.
Substitute x = -½ and y = y
[tex](-\frac{1}{2} )^{2} + y^{2} = 1\\\\(\frac{1}{4} ) + y^{2} = 1\\\\y^{2} = 1 - \frac{1}{4} \\\\y^{2} = \frac{3}{4} \\\\y = \pm \sqrt{\frac{3}{4}} \\\\y = \pm \frac{\sqrt{3}}{2}} \\\\[/tex]
Assuming that the given point P lies in the 2nd quadrant, the value of y will be positive.
[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]
Therefore, the coordinates of the point P are
[tex]P =( -\frac{1}{2} , \frac{\sqrt{3}}{2}}) \\\\[/tex]
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Answer:1/8
Step-by-step explanation:
there are 8 slices and its asking for the probability of one number. so its 1 out of 8
Answer: 1/4
Step-by-step explanation:
3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.
2/8 = 1/4
what is the value of x in the equation 3-2x=-1.5
Answer:
3-2x=-1.5
add -3 on both sides
-3+3-2x=-1.5+3
-2x=1.5
x=1.5/-2
Answer:
x= 9/4
Step-by-step explanation:
3 - 2x = -1.5
-2x = -4.5
x = 4.5/2
Simplified x = 9/4
Do 3,4 for 5-8 points.
Answer:
45+46+47
-2+-3+-4
Step-by-step explanation:
On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0). Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D? D = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
Answer:
distance = 5 units
Step-by-step explanation:
In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.
Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:
[tex]distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:
C=(-1,4)
[tex]x_{1}=-1[/tex]
[tex]y_{1}=4[/tex]
and for point D
D=(2.0)
[tex]x_{2}=2[/tex]
[tex]y_{2}=0[/tex]
so we can now use those values in our distance formula so we get:
[tex]d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}[/tex]
[tex]d=\sqrt{(3)^{2}+(-4)^{2}}[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
d=5 units.
Answer:
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
5 units
Step-by-step explanation:
Just did it on Edg
Determine the center and radius of the following circle equation:
x ^2+y ^2 −18x+4y+60=0
Answer:Use the quadratic 'Complete the Square' method
Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12
Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25
Circle centered at (3,2) with radius = 5
What is the range of the function y= e^4x
Answer:
The answer would be {y|y>0}
Step-by-step explanation:
hope this helps
Cuáles de los siguientes experimentos son aleatorios. a) Número de personas que suben a un autobús en una parada. b) Aplicar el teorema de Pitágoras en un triángulo rectángulo. c) Conocer el ganador de la Liga de Campeones. D) Calcular la raíz cuadrada de un número.
Answer:
a) Número de personas que suben a un autobús en una parada.c) Conocer el ganador de la Liga de Campeones.Step-by-step explanation:
This problem is about random experiments.
Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.
People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.
Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.
Therefore, the right answers are a and c.
Wouldn’t it be angle C?
Answer:
angle F
Step-by-step explanation:
so they want an angle that's on the SAME SIDE as angle D. angle C is on the opposite side of the transversal.
Angle E would be alternate interior, not same side interior.
angle B is supplementary to angle D
therefore, the answer is F
Solve the right triangle, AABC, for the missing side and angles to the nearest
tenth given sides a = 14.9 and b = 17.5.
Answer:
The missing side is 22.98, or rounded to the nearest tenth, 23
The angles are 90, 40.37, and 49.63
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem;
[tex]a^2 + b^2 = c^2[/tex]
Since a = 14.9 and b= 17.5, we need to find the missing side, or c
[tex]14.9^2 + 17.5 ^2 = c^2[/tex]
Using a calculator this gives us;
528.26 = [tex]c^2[/tex]
Now to undo [tex]c^2[/tex], we have to square root both sides
[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]
22.98 = c
Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23
Now to find the angles.
We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.
I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.
We know that sin= opposite/hypotenuse
So, sin(x)=14.9/23
Since we want to find the angle we must use the inverse of the trig function.
[tex]sin^-^1[/tex](14.9/23) = x
By using a calculator we get
x=40.37
Now since we know that this is a right triangle, we have a 90 degree angle.
So, we can subtract from 180 to find the third angle.
180-90-40.37=49.63
The angles of the triangle are 90, 40.37 and 49.63.
Hope this helped let me know if this can be explained further or if anything is wrong! : )
If events A and B are independent, find P(A│B).
A. P(A)
B. 1
C. 0
D. P(A)/P(B)
Answer:
If events A and B are independent:
P(A|B) = P(A⋂B)/P(B) = (P(A) x P(B))/P(B) = P(A)
=> Option A is correct
Hope this helps!
:)
You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The blue fabric costs $3.50 per square yard and the white fabric costs $2 per
square yard. You can only order whole numbers of square yards of fabric. What will be the cost of the fabric for this project?
5 ft
3
Answer:
cost of the fabric = $22
Step-by-step explanation:
The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.
area of the hexagon = 3/2 × √3 × a²
where
a = sides
area of the hexagon = 3/2 × √3 × a²
a = 5 ft
convert ft to yard
3 ft = 1 yard
5 ft = 5/3 = 1.6666666667 yards
area = 3/2 × √3 × 1.6666666667²
area of the hexagon = 7.21687836516 yard²
Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258 yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4
blue fabric cost $3.50 per square yard.
The cost for this yard = 4 × 3.50 = $14
white fabric cost $2 per square yard .
The cost for this yard = 4 × 2 = $8
Total cost = 14 + 8 = $22
cost of the fabric = $22
A triangle has side lengths 4.47 cm, 4 cm, and 4.47 cm. The angles measures are 64°, 64°, and 52°. What type of triangle is this triangle? Acute isosceles obtuse scalene acute scalene obtuse isosceles
Answer:
The type of triangle is this triangle is the acute isosceles triangle
Step-by-step explanation:
They are all less than 90 degrees and two of the sides are the same and two of the angles are the same
Answer:
The type of triangle is this triangle is the acute isosceles triangle
Step-by-step explanation:
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Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain
Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.
I hope this is helpful.
Answer:
B
Step-by-step explanation:
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What is 5 1/2 divided by 5 1/3 equal?
What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .
Evaluate 3x^3 - 5y^2 x=5 y=2
Could use some quick help I don't really know what i'm doing wrong.
Answer:
355
Step-by-step explanation:
3[tex]x^{3}[/tex]-5[tex]y^{2}[/tex]=3*5³-5*2²
3*5³-5*2²=3*125-5*4
3*125-5*4=375-20
375-20=355
Answer:
355
Step-by-step explanation:
3-5=3*5³-5*2²
3*5³-5*2²=3*125-5*4
3*125-5*4=375-20
375-20=355
Simplify 8+7/8x−1−1/2x.
Answer:
7 + 3/8x
Step-by-step explanation:
8+7/8x−1−1/2x.
Combine like terms
8-1 + 7/8x -1/2x
7 + 7/8x -1/2x
Get a common denominator
7 + 7/8x -4/8x
7 + 3/8x
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
-PA-Common Core Math 7 B
The value of A is
Scale
Factor
1.25
The value of Bis
Width
8 inches
А
Length
28 inches
В
Answer:
Step-by-step explanation:
A-10.0 in
B-35 in
ainsley works for the owners of bookstore . Her starting salary was $24,500, and she gets a 3% raise each year. What will ainsleys salary be when she begins her fourth year working at the bookstore? show your work
Answer:
26771.8115
Step-by-step explanation:
24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115
