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
Related Questions
Evaluate f(2) if f(x) = -2x + 7
Answers
[tex]f(2)= -2x+7\\f(2)= -2.2+7\\-4+7=3[/tex]
Fun fact
An apple, potato, and onion all taste the same if you eat them with your nose plugged
If a beetle crawls at a constant rate of 3 feet per minute, how long, in minutes, will it take the beetle to travel 75 feet?
A. 25 min.
B. 72 min.
C.78 min.
D. 225 min.
Answers
3/1=75/x
x=25
Answer:
A. 25 minutes
Step-by-step explanation:
3ft/min = 75ft/?min
75ft ÷ 3ft = 25min
it will take the beetle 25 minutes to travel 75 feet.
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
Solve the following equation for g.
Rg=m+h^2g
Answers
Answer:
G=m/r-h^2
Step-by-step explanation:
move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!
if you help me ilysm
Answers
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.
NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
A.) 20.6 units
B.) 4 units
C.) 19.4 units
D.) 5 units
Answers
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
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
Ms. Franco bought her daughter a new scooter. The scooter cost $40.00. Sales tax was
7.5%. What was the total price Ms. Franco paid for the scooter? ASAP please
Answers
Answer: $43.00
Step-by-step explanation:
40.00 + 40.00 ÷ 100 × 7.5 = 43.00
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:
B: middle finger
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"
The answer is B. middle finger
If y = x + 5 and y = 11, then x = what?
Answers
Answer:
6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
y(11)= x + 5
-5 -5
6= x or x = 6
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Can somebody help me with these 3. Will mark brainliest.
Answers
URGENT
question is in the photo :)
Answers
1. b¹²
2. 2x⁴
3. 3x³
4. 6x¹¹
5. 10x⁹
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:
Write in standard form. a) 2 4 b) 10 3 c) 3 5 d) 7 3 e) 2 8 f) 4 1
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Answers
24 x 10
b)
103
103 x 10
C) 35
35 x 10
D) 73
73 x 10
E) 28
28 x 10
F) 41
41 x 10
What statement is true about a function
Answers
Answer:
d is the answer ok :)
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:
24 devided by 30 = 0.8
0.8 times 100 = 80%
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.
*
Select the expression that is equivalent to 5/8.
O
5=8
O 8-5
O 8-5
0 5-8
Answers
i dont see that here
Answer:
The right answer isnt there
Step-by-step explanation:
Find the volume of the figure in cubic centimeters.
Answers
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
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Add these 2 up to get 755.16 cm³ as our answer
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ur question
Step-by-step explanation:
dunno
h(x) = -5(x-1)^2(X+2)
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Answers
Answer:
-10 leading coe and (0, 20) y intercept i think
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Answers
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Answers
Answer:
Step-by-step explanation:
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Your uncle gives you $10 and you save $2 a week. The expression 10 + 2w gives the amount you save after w weeks. How many terms are in the expression What is the coefficient in the expression
Answers
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]
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the first term is the constant term which is 10
while the second term is 2w, the coefficient is 2
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
Use the variable b for the unknown number.
Answers
Answer: b - 9 = 7.
Step-by-step explanation:
Pls answer this question with explanation
Answers
Answer:
345°
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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Answers
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Heptagon: 900°
14gon 2160°
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360/7 = 51.43 360/14 = 25.7.
Subtract from 180 to find the interior angle.
180 - 51.43 = 128.57
180 - 25.7 = 154.3
Multiply the measure of the interior angle by the number of sides to find the sum of the interior angles.
128.57× 7 = 900
154.3 × 14 = 2160
Which graph represents a function
Answers
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
What value(s) of x make the equation x2 - 18x + 81 = 0 true?
9
-9, 9
0, 9
0, -9, 9
Answers
Answer:
the answer is 9
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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If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?
Answers
Answer: 123 students
Step-by-step explanation:
2/10 is 20% so you'd take 615 x 0.20 which is 123.
I really need help for this geometry question, I would appreciate any help thank you.
Answers
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24