1. if m<b = 60 what is AB
2. if m<b =45 what is the perimeter of the trapezoid.
Answers
Answer:....
Step-by-step explanation:
first we need to find the base of the triangle, so the total is 20, they also give us 12, so we subtract 20-12=8 now divide. 8/2=4. Now we use the 4 and the 60. We use SOH-CAH-TOA, they give us the base now we need to find AB which is the hypotenuse. So we take out the TOA, and the 4 is the adjacent so we take out the SOH, we have CAH now, so we use cos. Now equation time....
[tex]cos60=\frac{4}{x}[/tex] since x is the bottom we switch [tex]\frac{4}{cos60}[/tex], which equals 8. AB=8.
Now to find the perimeter. We still use the 4 to find the hypotenuse so we can find the outside side. For this one they tell us to use 45, so now lets see what method we use. SOH-CAH-TOA. We need the hypotenuse and they give us the adjacent, so we use cos again. Now setting up the equation...
[tex]cos45=\frac{4}{x}[/tex] x is at the bottom again to we switch.
[tex]\frac{4}{cos45}[/tex] which equals to 5.657 or you can round it. Now we add everything.
20+12+5.657+5.657= 45.314 or you can round it to 45.
Related Questions
What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>
Answers
Answer:
1/10 x 1.2 is 0.12
Step-by-step explanation:
so yeeeeeeee
Triangle ABC is similar to triangle FGH.
A) 24 cm
B) 9 cm
C) 15.75 cm
D) 28 cm
Answers
Answer:
C
Step-by-step explanation:
solve the system using elimination
y = -x
10x + 2y = 40
Answers
Answer:
so first you would subtract the 10x from the one side so the equation now looks like
2y = -10x + 40
y = −5x + 20
im not sure if this is what you mean but this is how i interpreted it.
if right pls brainly
If a point is randomly chosen on the square shown, what is the probability that it will be in the red section?
A)
AA
B
)
WP
M
D)
Pa
Answers
Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.
Que valor en la ecuacion 3(x - 2) =7x+n tiene la solucion x=0
A. n = -6
B. n = -4
C. n = 3
D. n = 7
Answers
Answer: A. -6=n
Step-by-step explanation:
3(x - 2) =7x+n
3x-6=7x+n
-6=4x+n
-6=4(0)+n
-6=n
here jwu4444 thank u so much
Answers
Answer:
0
Step-by-step explanation:
Answer:
you're welcome
glad to help!
Kayla has 16 cups of trail mix that she wants to give to her friends. She decides to divide it into cup portions. How many portions can she make?
[?] portions
Answers
Answer:
16
Step-by-step explanation:
I need help ASAP how do I do this
Answers
Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
A 70.24 ft
B 74.48 ft
C 79.42 ft
D 92.84 ft
Answers
Answer:92.84
Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12
The perimeter of the trapezium is 143.94 ft.
We have,
The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.
In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.
To find the length of the non-parallel sides we can use the Pythagorean theorem:
a² = (39 - 27/2)² + 12²
a² = 1440
a ≈ 37.95 ft
Therefore,
The perimeter of the trapezium is:
P = 27 + 39 + 2a
P ≈ 27 + 39 + 2(37.95)
P ≈ 143.9 ft
Rounding to the nearest hundredth place,
we get P ≈ 143.94 ft.
Thus,
The perimeter of the trapezium is 143.94 ft.
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i cant figure out 8 to the power of 7 over 8 to the power of -2
Answers
Answer:
134217728
Step-by-step explanation:
Answer:
8⁹Step-by-step explanation:
8⁷ / 8⁻² = 8⁷⁻⁽⁻²⁾ = 8⁷⁺² =8⁹When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answers
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
what is the total number of outcomes from selecting one sweatshirt from a choice of five sweatshirts and one pair of pants from a choice of four pants
Answers
Answer:
20
Step-by-step explanation:
4x5/20
Cameron and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5.50 and a drink for $3.75. How much would it cost if they bought 3 bags of popcorn and 6 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?
Answers
Answer:
Total cost= $39
Step-by-step explanation:
Giving the following information:
At the theater, they sell a bag of popcorn for $5.50 and a drink for $3.75.
First, we will establish the total cost formula:
Total cost= 5.5p + 3.75d
p= number of bags of popcorn
d= number of drinks
Now, for 3 bags and 6 drinks:
Total cost= 5.5*3 + 3.75*6
Total cost= $39
Unit 11: Value & Surface Area
Homework 1: Area of planes Figure
Pls Help me with #11
Answers
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)
Simplify the expression. Write your answer as a power.
Answers
Answer:
either 2^8/3^8 or 256/6561
Step-by-step explanation:
looked it up on Symbolab
35 POINTS AND BRAINLIEST SHOW ALL WORK
9-2x=35 THANK YOUUU
Answers
Answer:
x = -13
Step-by-step explanation:
Step 1: Rearrange terms
9-2x=35
-2x+9=35
Step 2: Subtract from both sides of the equation
-2x+9-9=35-9
Step 3: Simplify
-2x+0=26
-2x=26
Step 4: Divide both sides of the equation by the same term
-2x/-2 = 26/-2
Step 5: Simplify
x = 26/-2
x=-13
Which activity at the grocery store would not involve mathematics?
A. choosing what kind of apple to buy
B. buying enough ingredients to double a recipe
C. finding out how much 1 item would cost when the price is 2 for $4.00
D. calculating the total cost of the items in your cart
Answers
Answer:
b
Step-by-step explanation:
Please help me
possible answers:
37 degrees
38 degrees
40 degrees
43 degrees
Answers
Answer:
38 degrees.
Step-by-step explanation:
Using the Cosine Rule:
11^2 = 10^2 + 17^2 - 2*10*17cos A
cos A = (11^2 - 10^2 - 17^2) / (-2*10*17)
cos A = -268/-340 = 0.788235
m < A = 37.979
a bowling ball with a diameter of 10.9
Answers
Answer:
34.226
Step-by-step explanation:
10.9 ÷ 2 = 5.45
C = 2πr
2 × 5.45 × 3.14
34.226
A school is holding its annual book fair. The line plot below shows the amount of books students have bought
What is the experimental probability that a student will buy 3 books?
A.4/15
B.3/15
C.4/3
D.4/9
Answers
Explanation;
Just count all the people who bought books, then the people who bought books, giving you 4/15
Eduardo has a wooden dowel rod that is StartFraction 8 Over 15 EndFraction of a yard long that he needs to cut into 24 equal-length pieces. What is the length of each piece of dowel rod?
StartFraction 1 Over 60 EndFraction of a yard
StartFraction 1 Over 45 EndFraction of a yard
StartFraction 5 Over 64 EndFraction of a yard
StartFraction 5 Over 8 EndFraction of a yard
Answers
Answer:
StartFraction 1 Over 45 EndFraction of a yard
Step-by-step explanation:
Length of the wooden dowel rod = 8/15 of a yard
Number of pieces = 24
What is the length of each piece of dowel rod?
Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces
= 8/15 ÷ 24
= 8/15 × 1/24
= (8*1) / (15*24)
= 8/360
= 1/45
Length of each piece of dowel rod = 1/45 of a yard
Answer:
2nd one
Step-by-step explanation:
area and perimeter i need help with problems 2 & 3
Answers
Answer:
number 1:area is 30 , perimeter is 22
number 2:area is 450 perimeter is 29
Step-by-step explanation:
Answer:
1 = 30, 22. 2 = 45, 33.
Step-by-step explanation:
For step 1, multiply the numbers to get the area, then double them and add them all to get the perimeter.
For step 2, multiply the two sets of numbers, 5 and 3, and 6 and 5, and add them. For the perimeter do the same as step 1.
Jason just got tired for a new job and will make $80,000 in his first year. Jason was
told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Jason make in his 23rd year working at this job?
Answers
Answer:
$110,080
Step-by-step explanation:
This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.
The general formula for such an arithmetic series is
a(n) = $80,000 + ($5,000)(n - 1)
and so in his 23rd year Jason would make
a(23) = $80,000 + ($5,000)(23 - 1), or
$110,080
Answer:
$110,080 is the answer
A. X=1
B. X=2
C. X=3
D. X=4
E. X=5
F. X=6
Answers
Answer:
1.) 5
2.) 6
3.) 2
4.) 2
5.) 2
6.) 5
Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.
Answers
Answer:
3f + d or d +3f
Nadia thinks of a number she finds the squre root and the divides it by 5 her answer is 20 what number is she thinking of
Answers
Answer:
10000
Step-by-step explanation:
Let the number = x
Square root of x divided by 5 equals 20
√x / 5 = 20
Using cross multiplication
√x = 20 * 5
√x = 100
Take the square of both sides
(√x)² = 100²
x = 10000
Therefore, the number is 10000
To the nearest tenth, what percentage of people were in the 41 - 50 age group and favored the Do-It-Yourself books?
A. 9.2%
B 20.4%
C. 45.1%
D. 57.1%
HELPP ASAP
Answers
Answer: it should be 9.2%
Step-by-step explanation:
The percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
What is Percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .
Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]
We have,
Total number of people [tex]=750[/tex]
Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]
Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]
So,
Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]
[tex]=\frac{69}{750} *100[/tex]
[tex]=9.2\%[/tex]
So, the percentage of people is [tex]9.2\%[/tex] .
Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
To know more about Percentage click here
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Select the correct answer.
Members of a student council are designing a school float for a parade. They decide to poll 10% of the student body to get feedback about the
theme they have chosen.
What would most likely happen if they decided to randomly sample 5% of the student body instead?
Answers
Answer: The sample portion would less closely model the population proportion
Answer:
Answer is that is will less closely model to the total population.
Step-by-step explanation:
This is because there are less numbers to be chosen and will be harder to find a proper medium and mean.
What is the Area of the triangle?
Answers
Answer:
Hello There!!
Step-by-step explanation:
I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.
hope this helps,have a great day!!
~Pinky~
Answer:
54m^2
Step-by-step explanation:
Area of triangle is base * height /2
18*6/2
108/2
54
can you help me please I have been stuck