1. Find the area of parallelogram ABCD.
Round to the nearest tenth.
A 55.4 m2
C 69.3 m2
B 60 m2
D 80 m2
2. The area of the parallelogram DEFG is 143 square units.
Find the height. Round to the nearest tenth if necessary.
Fll units
H 22 units
G 14.3 units
J 44 units
3. The base of a triangle is three times its height.
If the area of a triangle is 54 square inches, find its height.
A 18 in.
C3 in.
B 6 in.
DI in.
4. Find the area of quadrilateral PQRS.
F 34.1 units
G 65 units?
H 130 units?
J 360 units
Answers
Answer:
1: C =69.3 m2
2: F = ll units
3. C: 3 in.
4. G =65 units
Step-by-step explanation:
1: C =69.3 m2
We see from the figure that height of the parallelogram ABCD is not known and the base is 10 m
Taking the right angled triangle the height is given by
Sine theta= height/hypotenuse
height = hypotenuse* sine theta
= 8* sine 60
= 8* 0.866= 6.928
Area of parallelogram= base * height
= 10 * 6.928
= 69.28
=69.3 m²
2: F = ll units
We see from the figure that height of the parallelogram DEFG is not known and the base is 13 cm
Area of parallelogram= base * height
143 = 13 * height
Height = 143/13= 11 units
3. C: 3 in.
The area of the triangle = 1/2 * base * height
Let the height be x then the base is 3x
54= 1/2*x*3x
54= 3x²/2
27= 3x²
x²=27/3
x²= 9
x= 3
The height is 3 inches
4. G =65 units
Area of the quadrilateral = 1/2 *PR*QO + 1/2 *PR*OS
= 1/2*13*4+ 1/2*13*6
=26+ 39
= 65 units
These measurements are given in the diagram .
Related Questions
choose 3 values that would make this inequality true 28 + x > 42
100
0
13
15
5
14
24
Answers
Answer:
100, 15, 24 I think that is it
Step-by-step explanation:
Answer: 100, 24, 15
Step-by-step explanation:
28+100= 128, 128>42
28+24=52, 52>42
28+15=43, 43>42
25% of what number equals 100
Answers
Answer:
its 400
Step-by-step explanation:
Jeff buys a cylindrical aquarium for his living room. The aquarium is 21.5 inches tall with a radius of 21 inches. What is the volume of the aquarium? Round answer to the tenth.
Answers
Sorry there isn't. I have experienced the same thing before an unfortunately I was not able to view the question after it was deleted. Sorry again :(
What is "y" when x = -2 in the equation y = 2x + 5
Answers
Answer:
2 x -2 + 5
-4 + 5
1 = y
Step-by-step explanation:
Plug in the value of X and do the equation.
Answer:
y = 1
Step-by-step explanation:
When x = -2 :
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
Write a verbal description of the
meaning of f(3) = 6.
Answers
Answer:
When your input is 3, (x value), the y-value would be 6.
Step-by-step explanation:
What is the best measure of center for the histogram
A)Mean
B) Median
C) Mode
D) Range
Answers
Answer:
(B)
Step-by-step explanation:
I think it will help you
anyone know how to do this?
Answers
Answer: A reasonable estimate of the minimum is 20.
❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees
Answers
Answer: I need this one too
Step-by-step explanation:
Answer:
180
180 - (98 + 46)
36
Step-by-step explanation:
Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common first difference of 2 quadratic with a common ratio of 2 quadratic with a common first difference of 2
Answers
Answer:
linear with a common first difference of 2
Step-by-step explanation:
If this is linear, the common first difference, or slope, will be the same throughout the entire table.
The formula for slope is

For the first set of points, we have:
m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2
For the second set of points, we have:
m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2
For the third set of points, we have:
m = (12-4)/(4-0) = 8/4 = 2
The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2
Hope it helps
Answer:
b on edge 2021
Step-by-step explanation:
Someone PLEASEEEE HELPPPP
Answers
Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]
[tex]x=18\sqrt{3}[/tex]
Therefore, measure of Hypotenuse is 18√3 units.
Math question:
Help me out and I will do anything
Answers
Answer:
b. 2/5
Step-by-step explanation:
[tex] \frac{8}{20} \frac{ \div 4}{ \div 4} = \frac{2}{5} [/tex]
Answer:
The experimental probability of tossing heads is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
The experimental probability is the probability that is determined on the basis of the results of an experiment repeated many times. Since Vernon tossed 8 heads during his 20 experiments, the experimental probability of tossing heads is [tex]\frac{8}{20}[/tex] or [tex]\frac{2}{5}[/tex].
An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the planes position relative to the city after 45 minutes
Answers
Speed =180*3/4
=45*3
=135
135-12.5
The plane is 122.5 miles north to the city after 45 minutes
please help!!!
Solve (find x intercepts) using the quadratic formula
f(x)= -5x^+9x-4
Answers
Answer:
[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]
Step-by-step explanation:
A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].
The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].
So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].
Therefore [tex]0=-5x^2+9x-4[/tex].
Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].
Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].
To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.
Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].
Now put these values into the quadratic formula:
[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]
And simplify:
[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].
[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]
Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.
So [tex]x = \frac{-10}{-10} = 1[/tex]
or
[tex]x = \frac{-8}{-10} = 0.8[/tex]
Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
Which measure describes the standard error of the mean?
A.
the central limit theorem
B.
the confidence interval
C.
the sample mean
D.
the standard deviation of the means
Answers
Answer: the standard deviation of the means (D)
Step-by-step explanation:
i need answer. Please help me.
Answers
I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though
can someone please help its my last one
Answers
Answer:
80 + 40 + (x + 64) = 180
120 + (x + 64) = 180
-120 -120
x + 64 = 60
-64 -64
X = -4
Step-by-step explanation:
Let's double check
64 - 4 = 60
60 + 80 + 40 = 180 It works!
Therefore X = -4.
Drew received a bonus check for $2500 and he's going to deposit the money into a bank account there is is 5.5% simple interest amount of interest earned each year is how much
Answers
Answer:
$137.50
Step-by-step explanation:
Simples interest = amount deposited x time x interest rate
2500 x 0.055 x 1 = 137.50
Answer:m
Step-by-step explanation:
who's the queen of rap ?
Answers
Answer:
niki minaj " im the queen of rap" she said it
Step-by-step explanation:
Answer:
Nicki Minaj
Explanation:
Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.
PLEASE ANSWER I NEED LOTS OF HELP!!!!!!!!!!!!!!
Answers
Answer:
40%
Step-by-step explanation:
Rachael liked 36/90 books movies that she watched. This simplifies to 2/5 which is 0.4. To find the percentage, we multiply 0.4 by 100 to get 40%.
Which is equivalent to √3+√12?
Answers
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying [tex]\sqrt{12}[/tex]
[tex]\sqrt{12}[/tex]
= [tex]\sqrt{4(3)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]
= 2[tex]\sqrt{3}[/tex]
Then
[tex]\sqrt{3}[/tex] + [tex]\sqrt{12}[/tex]
= [tex]\sqrt{3}[/tex] + 2[tex]\sqrt{3}[/tex]
= 3[tex]\sqrt{3}[/tex]
PLZ HELP 50 POINTS Which is the function represented by the table?
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 4, 5, 6, 7.
Answers
Answer:
the answer is a f(x)= x+5.
Step-by-step explanation:
the answer is f(x)= x+5 because in each row the value increases by 5.
Answer:
a
Step-by-step explanation:
Can someone help me out my grads are bad
Answers
Answer:
The modes are 0 and 2. There are two because there are the same number of numbers. (four 0s and four 2s)
WHOEVER ANSWERS FIRST GET BRAINLIEST
Multiply.
4 1/6 × 5 3/5
Enter your answer in the box as a mixed number in simplest form.
(Answer)
Answers
Answer:
Exact Form: 70/3
Decimal Form: 23.333
Mixed Number: 23 1/3
Step-by-step explanation:
will name the brainliest!!!
Answers
Answer:
x = 10.7 (as rounded to the nearest tenths)
Step-by-step explanation:
Angle 50 is given and so is it's adjacent side, we have to find its opposite side so we will use the Tangent ratio;
Tan(50) = [tex]\frac{x}{9}[/tex]
=> To isolate the variable x, multiply 9 on each side of "="
Tan(50) * 9 = x
10.7 = x
Hope this helps!
Which point best represents 10?
P
Q
R
S
wt
0
1
2
4
5
S
P
R
Q
Answers
Answer:
Q
Step-by-step explanation:
The square root of √10 shown in decimal form is 3.1622776... and the placement of Q is the closest to the answer.
Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:
Answers
Answer:
a = 21%
b = 260%
c = 25%
Step-by-step explanation:
I just answered that question
600 students sat a Math exam. If 86% of students passed the exam, the percentage of people who FAILED is
with step to step calculation
Answers
Answer:
84
Step-by-step explanation:
100-86 is 14
14percent passed so it is 84
Math
HELPP PLEASEEE
It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?
Answers
Answer: 1:44
Step-by-step explanation: 1:32. take the 32 and add 12. 1:44
Answer:
1:32
Now add 12 minutes to 32.
1:44
Step-by-step explanation:
The number on the left of the colum is the hour and the number on the right of the colum is the minutes.
Determine the volume of the rectangular prism. (3 points)
30/7 cm2
1/3cm
Answers
Answer:
10/7 cm^3
Step-by-step explanation:
I can only assume that '30/7 cm^2' represents the area of the base and 1/3 cm the height. If and only if that is the case, then the volume is
V = (base area)(height) = (30/7 cm^2)(1/3 cm) = 10/7 cm^3.