The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:
a) the height h
b) S
c) the perimeter P of the trapezoid
Please someone help me
Answers
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,
[tex]h =\sqrt{12^2 -10^2}=6.63[/tex]
The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
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Answer:
d is the answer ok :)
Step-by-step explanation:
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
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Answer: b - 9 = 7.
Step-by-step explanation:
URGENT
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3. 3x³
4. 6x¹¹
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Answer:
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Step-by-step explanation:
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Answers
24 x 10
b)
103
103 x 10
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73 x 10
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ur question
Step-by-step explanation:
dunno
If b=79° and c=83°
Work out angle a and d.
(15points)
Answers
Answer:
????????????????????
Answer:
A = 101 degrees d = 97 degrees
Step-by-step explanation:
180 - 79 = 101 as angles in a straight line = 180
101 + 79 + 83 = 263
360 - 263 = 97 degrees
8. The direction of current in the Fleming's left hand rule is given by
A: thumb
B: middle finger
C: index finger
D: little finger
Answers
Answer:
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Step-by-step explanation:
Fleming's Left Hand Rule states "that when you hold out your left hand with the forefinger, second finger and thumb mutuallly at the right angle to one another. If the forefinger represents the direction of the field and the second finger represents that of the current, then thumb gives the direction of the force"
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Answers
Answer:
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Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
y(11)= x + 5
-5 -5
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What value(s) of x make the equation x2 - 18x + 81 = 0 true?
9
-9, 9
0, 9
0, -9, 9
Answers
Answer:
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Step-by-step explanation:
just took a test about it
Answer:
A. 9
Step-by-step explanation:
100% correct on edge
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Select the expression that is equivalent to 5/8.
O
5=8
O 8-5
O 8-5
0 5-8
Answers
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Answer:
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Step-by-step explanation:
Ms. Franco bought her daughter a new scooter. The scooter cost $40.00. Sales tax was
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Answers
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Step-by-step explanation:
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Answer:
2 terms
Step-by-step explanation:
Step one:
given data
we are told that your uncle gives you $10 and you save $2 a week
the expression for the situation is
let the total be y
[tex]y=10 + 2w[/tex]
From the expression, there are two terms
the first term is the constant term which is 10
while the second term is 2w, the coefficient is 2
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Answer:
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Step-by-step explanation:
If a circle is 360° you would then have to take 15° away from 360° and get the answer of 345°
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if you help me ilysm
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Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \displaystyle y=3x - 1y=3x−1.
To find the x-intercept, set \displaystyle y=0y=0.
y
=
3
x
−
1
0
=
3
x
−
1
1
=
3
x
1
3
=
x
(
1
3
,
0
)
x
-intercept
To find the y-intercept, set \displaystyle x=0x=0.
y
=
3
x
−
1
y
=
3
(
0
)
−
1
y
=
−
1
(
0
,
−
1
)
y
-intercept
We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.
This is an image of a line graph on an x, y coordinate plane. The x and y-axis range from negative 4 to 4. The function y = 3x – 1 is plotted on the coordinate plane
Figure 12
HOW TO: GIVEN AN EQUATION, FIND THE INTERCEPTS.
Find the x-intercept by setting \displaystyle y=0y=0 and solving for \displaystyle xx.
Find the y-intercept by setting \displaystyle x=0x=0 and solving for \displaystyle yy.
EXAMPLE 4: FINDING THE INTERCEPTS OF THE GIVEN EQUATION
Find the intercepts of the equation \displaystyle y=-3x - 4y=−3x−4. Then sketch the graph using only the intercepts.
SOLUTION
Set \displaystyle y=0y=0 to find the x-intercept.
y
=
−
3
x
−
4
0
=
−
3
x
−
4
4
=
−
3
x
−
4
3
=
x
(
−
4
3
,
0
)
x
-intercept
Set \displaystyle x=0x=0 to find the y-intercept.
y
=
−
3
x
−
4
y
=
−
3
(
0
)
−
4
y
=
−
4
(
0
,
−
4
)
y
-intercept
Plot both points, and draw a line passing through them as in Figure 11.
This is an image of a line graph on an x, y coordinate plane. The x-axis ranges from negative 5 to 5. The y-axis ranges from negative 6 to 3. The line passes through the points (-4/3, 0) and (0, -4).
Figure 13
Answer:
x-intercept
Step-by-step explanation:
The x-intercept is the point on the line that crosses the x-axis, shown in the graph in the picture.
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C.78 min.
D. 225 min.
Answers
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Answer:
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Step-by-step explanation:
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75ft ÷ 3ft = 25min
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Answers
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Answers
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Step-by-step explanation:
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sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
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O 30 pages per minute
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Answers
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Answer:
Step-by-step explanation:
Mixed number Improper fraction
a) 1 + 1 + 1/3 = [tex]2\frac{1}{3}[/tex] 7/3
b) 1 + 1 + 1 + 5/8 = [tex]3\frac{5}{8}[/tex] 29/8
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B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answers
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
Find the volume of the figure in cubic centimeters.
Answers
Answer:
755.16 cm³
Step-by-step explanation:
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The volume of the bottom part is 12*4*14 = 672 cm³
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Add these 2 up to get 755.16 cm³ as our answer
Please help with these problems..
at least one.
Answers
Answer:
4(5q-8), q=6
4(5(6)-8)=
4(30-8)=
4(22)=
88
r+(-8)/2. r=12
12+(-8)/2=
4/2=
=2
(11b+4)/9. b=7
(11(7)+4)/9=
(77+4)/9=
(81)/9=
9
Step-by-step explanation:
Mary earned 24 points on her science test. The total points on the test was 30 points. What is Mary’s test score as a percent? Show work
Answers
Answer:
80%
Step-by-step explanation:
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Answer:
80%
Step-by-step explanation:
take the number you got and divide it by how many it was out of and then move the decimal two points to the right. 24/30= 0.8 then move the decimal and get 80 and add the percent sign.
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Answers
Answer:
G=m/r-h^2
Step-by-step explanation:
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h(x) = -5(x-1)^2(X+2)
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Answers
Answer:
-10 leading coe and (0, 20) y intercept i think