Answer: 12
Step-by-step explanation: V of prism = S of triangle*Height of prism
height of prism is 30
S of triangle = a/2*h( a =18 cm)
3240=30*(18/2)*h
h=3240/(9*30)=12
Two ways are there
Solve through volumeSolve through Pythagorean theoremMake it simple, go through second way
Base=18/2=9cm[tex]\\ \rm\Rrightarrow h^2=15^2-9^2[/tex]
[tex]\\ \rm\Rrightarrow h^2=225-81[/tex]
[tex]\\ \rm\Rrightarrow h^2=144[/tex]
[tex]\\ \rm\Rrightarrow h=12cm[/tex]
Rewrite the following in radical form
X^-11/3
Answer:
1/3x^11
Step-by-step explanation:
1/3x^11 is the answer
Which line is the best model for the data in the scatter plot? A scatterplot with an x axis labeled, variable A from twenty to sixty in increments of ten and the y axis labeled, variable B from twenty to forty in increments of five with eight points mostly above a negative trend line. A scatterplot with an x axis labeled, variable A from twenty to sixty in increments of ten and the y axis labeled, variable B from twenty to forty in increments of five with eight points mostly below a negative trend line. A scatterplot with an x axis labeled, variable A from twenty to sixty in increments of ten and the y axis labeled, variable B from twenty to forty in increments of five with eight points mostly below an extreme angled negative trend line. A scatterplot with an x axis labeled, variable A from twenty to sixty in increments of ten and the y axis labeled, variable B from twenty to forty in increments of five with a negative trend line through the middle of eight points.
The line which is the best model for the data in a scatter plot is: D. A scatterplot with an x axis labeled, variable A from twenty to sixty in increments of ten and the y axis labeled, variable B from twenty to forty in increments of five with a negative trend line through the middle of eight points.
What is a scatter plot?A scatter plot can be defined as a graph which uses Cartesian coordinates (x-axis and y-axis) to display the values of two (2) variables, with the resulting points revealing any correlation between the data.
What is a trend line?A trend line refers to an statistical (analytical) tool that is used in conjunction with a scatter plot, so as to determine whether or not there's any correlation between a data.
For example, a scatterplot with an x-axis with its points ranging from twenty (20) to sixty (60) in increments of ten (10) while the y-axis has its points ranging from twenty (20) to forty (40) in increments of five (5) with a negative trend line through the middle of eight (8) points i.e above and below the trend line.
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Draw a pair of adjacent angles with the given description
a. Both angles are obtuse
b. The sum of the angle measures is 180°
c. The sum of the angles measures is 60°
The diagrams showing pairs of adjacent angles and the given description is shown in the attachments below.
What are Adjacent Angles?Adjacent angles are angle that share the same vertex and also has a side in common.
a. An obtuse angle is greater than 90°.
Figure 1 shows a pair of adjacent angles that are obtuse which are ∠ABD and ∠CBD
b. Figure 2 shows two adjacent angles, ∠ABD and ∠CBD whose sum equals 180 degrees.
c. Figure 3 shows two adjacent angles, ∠ABD and ∠CBD whose sum equals 60 degrees.
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A triangular prism. The triangular base has a base of 7. 8 centimeters and height of 4 centimeters. The prism has a height of 9 centimeters. What is the volume of the prism? ft3.
140.4 hope its helps!!! :)))
A map of the state of Michigan. The measured distance between Saginaw and Alpena is 2.2 centimeters. The map key reads 1 centimeter to 50 miles.
The actual distance between Saginaw and Alpena is
miles.
Answer:
110 miles
Step-by-step explanation:
Answer:110
Step-by-step explanation:
Which is the graph of y=(-2x)^2 +2
Answer:
Step-by-step explanation:
The equations below represent the total amount charged, y, by two different plumbers as a function of the number of hours worked, X
Plumber A: y = 20x + 60
Plumber B: y = 40%
The graphs of these functions cross at the point (3, 120). What does the point (3,120) signify?
Answer:
both plumbers charge $120 for 3 hours of work
Step-by-step explanation:
1) x=3 and x stands for hours.
2) 120=y and y stands for money charged
so the points (3, 120) show that the plumbers both charge 120 for 3 hrs.
Assume that each of the spinners below is equally likely to land in each space. Find the
probability of spinning a 3 on the first spinner and then spinning a number greater than 5 on the second
spinner.
your probably going to get the same answer each time.
Find the area of the figure. Round your answer to the nearest hundredth.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given one irregular figure which is composed of semicircle and parallelogramTo Find :- We have to find the total area of the given irregular figure .Let's Begin :-We have,
Semicircle having diameter = 8 in.Therefore, R = 8/2 = 4 in.Parallelogram having base and height 10 in. and 6 in.We know that,
Area of semicircle
[tex]\bold{\pink{ = }}{\bold{\pink{\dfrac{1}{2}}}}{\bold{\pink{\pi{r^{2}}}}}[/tex]
Subsitute the required values,
[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{\dfrac{4^{2}}{2}}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{\dfrac{16}{2}}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{8}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{176}{7}}}[/tex]
[tex]\bold{ = 25.142\: in.^{2}}[/tex]
Now :-Area of parallelogram
[tex]\bold{\red{ = Base }}{\bold{\red{\times{ Height }}}}[/tex]
Subsitute the required values,
[tex]\sf{ = 10 }{\sf{\times{ 6 }}}[/tex]
[tex]\bold{ = 60 \:in.^{2}}[/tex]
Thus, The area of parallelogram is 60 in.
Therefore,Area of the given figure
= Area of semicircle + Area of parallelogram
Subsitute the required values,
[tex]\sf{ = 25.142 + 60 }[/tex]
[tex]\sf{ = 85.142\: in^{2}. }[/tex]
When round off to nearest Hundred
[tex]\bold{ = 85.1 in.^{2}}[/tex]
Hence, The area of the given figure is 85.1 inches² .
The area of the composite figure to the nearest hundredth is 85.12 inches squared.
What is area of a figure?The area can be defined as the space occupied by a flat shape or the surface of an object.
Therefore, the figure is a composite figure, it has a parallelogram and a semi circle.
area of the figure = area of parallelogram + area of semi circle
area of parallelogram = bh
where
b = baseh = heightb = 10 inches
h = 6 inches
area of parallelogram = 10 × 6 = 60 inches²
area of semi circle = πr² / 2
where
r = radiusTherefore,
r = 8 / 2 = 4 inches
area of semi circle = 3.14 × 4² / 2
area of semi circle = 3.14 × 16 / 2
area of semi circle = 50.24 / 2
area of semi circle = 25.12 inches²
area of the figure = 60 + 25.12 = 85.12 inches²
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PLEASE HELP
In AABC shown below, segment DE is a midsegment.
a.) If AB = 17 units, how long is segment DE? (5 points)
b.) What other relationship exists between segments AB and DE?
Check the picture below.
what other relationship?, well, we can also say 2(midsegment) = base.
Rationalise the denominator of the following
Answer:
2 + √3
Step-by-step explanation:
Multiply the expression by [tex]\dfrac{\sqrt{3} +1}{\sqrt{3} +1}[/tex] :
[tex]\implies \dfrac{\sqrt{3} +1}{\sqrt{3} -1}\times\dfrac{\sqrt{3} +1}{\sqrt{3} +1}=\dfrac{(\sqrt{3} +1)^2}{3+\sqrt{3}-\sqrt{3}-1}=\dfrac{(\sqrt{3} +1)^2}{2}[/tex]
[tex]\implies \dfrac{(\sqrt{3} +1)^2}{2}=\dfrac{3+2\sqrt{3}+1 }{2}=\dfrac{4+2\sqrt{3} }{2}=2+\sqrt{3}[/tex]
Twice a number added to another number is 15. The sum of the two numbers is 11. Find the numbers
Answer:
4 and 7
Step-by-step explanation:
let's call the first number 'x' and the second number 'y'
so from the question we obtain two equations:
2x+y=15 ..... equation 1 and
x+y=11 .........equation 2
rearranging equation 2
y=11-x
now let's substitute it to equation 1
2x+11-x=15
x=15-11
x=4
now solving for y(let's take equation 2)
4+y=11
y=11-4
y=7
SOMEONE PLEASE HELP meeee
Answer: 2/3x 3/5 = 6/15
Step-by-step explanation: the grid has 15 squares so shade in 6 of the 15 squares
Solve for h. 2 = h/3. H=
Answer:
h=6
Step-by-step explanation:
multiply 2 by the denominator (3) and then you get 6
- to check ur answer, just plug ur answer into the equation and see if you get the same results (6/3 = 2)
Solve for x.
Round to the nearest tenth, if necessary.
Answer:
9.4
Step-by-step explanation:
You can figure out the Hypotenuse length with only 1 angle and side length using the following formula:
Adjacent/cos(theta)
Which gives 9.433, which equals the hypotenuse.
Rounded up gives 9.4
When finding slant asymptotes, do you prefer long division or synthetic division to find the equation of the line? Why?
Answer:
A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator. To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division. why because You might find the wrong answer to the problem and You will Get every problem wrong unless You use the slant asym.
Step-by-step explanation:
goodluck
find the surface area of 9yd 6yd
Answer:
198 square yards ( the surface area is 198 square yards )
Step-by-step explanation:
the length is 9yd, the width is 6yd the height is 3yd .
( 6x9+ 6x3+ 9x3 ) x2
= ( 54 + 18 + 27 ) x2
= 198
the surface area is 198 square yards.
Rectangular surface area = ( length x height + length x width + width x height ) x2
Write a description of the rule (x,y) →(x+10, y +8).
A. Translate 10 units to the right and 8 units up.
B. Translate 10 units to the left and 8 units down.
C. Translate 10 units to the right and 8 units
down.
D. Translate 10 units to the left and 8 units up.
Answer: A. Translate 10 units to the right and 8 units up.
Step-by-step explanation:
(PLEASE HELP)
Find the area of the parallelogram.
Answer:
A=B*H
Step-by-step explanation:
multiply B (base) by H (height)
Which of the following functions best describes this graph.
50 POINTS!!
Answer:
D is your correct answer
Step-by-step explanation:
This is a quadratic equation which means that it has two roots which is your X-Intercepts. As seen on the graph, your X-intercepts are 3 and 5 which are your roots. Simple bring them over to the other side so you have (X-3) and (X-5)
You now multiply them into each other:
(X-5)×(X-3)=0
: X^2-8x+15
Answer:
D) y = x² - 8x + 15
Step-by-step explanation:
x-intercepts are at x = 3 and x = 5
⇒ y = (x - 3)(x - 5)
⇒ y = x² - 8x + 15
Which statements are true about the polynomial 4x3 – 6x2 8x – 12? Check all that apply.
The correct statements about the polynomial are as follows;
The terms 4x3 and 8x have a common factor.
The terms 4x3 and – 6x2 have a common factor.
The polynomial can be grouped in different ways to factor by grouping.
What are the polynomials?A polynomial is comprised of variables, exponents, constants, and these can be added, subtracted, multiplied, or divided.
Given
The polynomial is;
[tex]\rm 4x^3-6x^2+8x-12[/tex]
The correct statements about the polynomial are as follows;
The terms 4x3 and 8x have a common factor.The terms 4x3 and – 6x2 have a common factor.The polynomial can be grouped in different ways to factor by grouping.To know more about polynomial click the link is given below.
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PLS HLEP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
1. 130°
2. 65°
3. 158°
4. 135°
5. 135°
Step-by-step explanation:
Let x be the unknown angle
1. Congruent angles are marked with a dash
Sum of interior angles of a 5-sided polygon is 540°
⇒ x + 90 + 110 + 100 + 110 = 540
⇒ x = 130°
2. Congruent angles are marked with a dash
Sum of interior angles of a triangle is 180°
⇒ 2x + 50 = 180
⇒ x = 65°
3. Sum of interior angles of a 5-sided polygon is 540°
⇒ x + 76 + 90 + 90 + 126 = 540
⇒ x = 158°
4. Congruent angles are marked with a dash
Sum of interior angles of a 6-sided polygon is 720°
⇒ 4x + 90 + 90 = 720
⇒ x = 135°
5. Congruent angles are marked with a dash
Sum of interior angles of a 8-sided polygon is 1080°
⇒ 8x = 1080
⇒ x = 135°
Please help
Write an equation to represent the following statement
The product of 12 and k is 84.
Solve for k
k =
Answer:
k = 6
Step-by-step explanation:
"The product of 12 and k" means 12*k
"is 84" means = 84
Therefore:
12k = 84
k = 6
Which steps will verify that a parallelogram is a rectangle?.
Answer:
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
Answer:
Step-by-step explanation:
If one angle in a parallelogram is 90°, then it is a rectangle.
Help me with this question thingy plas
ANSWER:
x = -3
Step-by-step explanation:
55+54+x+74=180
109+x+74=180
183 + x = 180
x = -3
Answer:
Step-by-step explanation:
All triangles have 180 as the sum of the 3 interior angles.
x + 74 + 55 + 54 = 180 Combine
x + 183 = 180 Subtract 183 from both sides.
x = 180 - 183 Combine
x = - 3
You probably have been told that there is no such thing as a minus angle, and that's true. The angle isn't minus. Just x is. The size of the angle is
Angle size = 74 - 3 = 71
Now try adding them together
55 + 54 + 71 = 180 which is what it should come to
Which value is farthest from 0 on the number line?
A. 40
B. -41
C. |40.5|
D. |-41.5|
Answer:
B. -41
Step-by-step explanation:
It’s the only negative number, which makes it the farthest away from 0. The numbers in the brackets are always positive even though they show as negative because of absolute value.
Answer:
the answer is -41
Step-by-step explanation:
that furthest
What is the formula to find the circumference of a circle?
Evaluate the following expression. (81)^0 1 0 8
Answer:
[tex]81^{108}=1.30732\dots E206[/tex]
Step-by-step explanation:
[tex]81^{108}[/tex]
[tex]\mathrm{Refine\:to\:a\:decimal\:form}[/tex]
[tex]=1.30732\dots E206[/tex]
[tex]81^{108}=1.30732\dots E206[/tex]
A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you select a football?
A.5/18
B. 5/19
C. 5/14
D. 8/19
The total amount of balls there are is : 8 + 2 + 1 + 3 + 5 = 19 (balls)
There are 5 footballs in the bag, so the probability of you selecting a football is 5 : 19 = 5/19
I need help on 13 The instructions are to: evaluate the following if a =6 , B=3 and c = 2.
Please answer someone pls
Answer:
I believe the answer is -243
Step-by-step explanation: