Answers
Answer:
B = 31°
a = 18.9
b = 11.3
Step-by-step explanation:
✔️B = 180° - (90° + 59°) (sum of triangle)
B = 31°
✔️Use trigonometric ratio to find a:
Reference angle = 59°
Side opposite to reference angle = a
Hypotenuse = 22
Thus,
Sin 59 = a/22
Multiply both sides by 22
22*sin 59 = a
18.9 = a
a = 18.9 (nearest tenth)
✔️Use trigonometric ratio to find a:
Reference angle = B = 31°
Side opposite to reference angle = b
Hypotenuse = 22
Thus,
Sin 31 = b/22
Multiply both sides by 22
22*sin 31 = b
11.3 = b
b = 11.3 (nearest tenth)
Related Questions
Dana works at a flower shop. One day she received a delivery of flowers and 30% of the flowers were roses. There were 240 roses. What percent of the flowers were not roses?
Answers
Answer:
800
Step-by-step explanation:
I started off with putting 240 over x and 30 over 100. Next I multiplied 240 with 100 and got 24000. Then I divided that with 30 and got 800 as my answer.
Hope this helps :)
what is the inverse f(x)=1/5x
Answers
Answer:
F = 1/5
Step-by-step explanation:
A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Answers
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
in a school containing 360 children, 198 are girls. What percent of the school are girls? What percent of the school are boys? How many boys are there? How many girls are there? Thank you!
Answers
Answer:
Part A)
Part B)
Part C)
Part D)
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y------> size of the sample space
P=x/y
Part A) What percent of all children are girls?
we have that
y= 360 children
x=198 girls
substitute
p = 198/360 0.55
Find the percentage
0.55*100=55%
Part B) What percent of all children are boys?
we have that
y=360
x=360-198
substitute
p= 162/360=0.45
Find the percentage
0.45*100=45%
Part C) The number of girls is what percent of the number of boys?
we have that
y=162
x=198
substitute
p=198/162=1.22
Find the percentage
1.22*100= 122%
Part D) The number of boys is what percent of the number of girls?
we have that
y=198 girls
x=162 boys
substitute
p=162/198=0.8182
Find the percentage
0.8182*100=81.82%
The percentage of the school are girls is 55%.
The percentage of the school are boys is 45%.
The number of boys in the school is 162.
The number of girls in the school is 198.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, In a school containing 360 children, 198 are girls.
Therefore, The percentage of the school are girls is,
(198/360)×100%.
= 55%.
The percentage of the school are boys is,
= [(360 - 198)/360]×100%.
= 45%.
Or The percentage of the school are boys is, (100 - 55)% = 45%.
The number of boys in the school is,
(360 - 198).
= 162 boys.
The number of girls in the school is 198.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
ima cry brainliest giving it out
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answers
Answer:
23.1%
Step-by-step explanation:
11/48=0.23125
Round up for percent.
0.231x100=23.1
23.1%
plz help due in 10 min
Answers
Answer:
the answer is A <_______________^______________
please help me asap!!!
Answers
Answer:
230
Step-by-step explanation:
Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.
Answer:
m< CDF = 58°
Step-by-step explanation:
Key skills needed: Congruent Triangles
1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.
2) Since both triangles have 1 right angle, they are both triangle triangles.
3) Both triangles share the same hypotenuse (DF)
Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC
Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it
HL means Hypotenuse-Leg
This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.
4) Since ΔEDF ≅ ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.
--> To say that < CDF is congruent to < EDF, we can use the theorem:
If Δs are ≅, then all corresponding parts are ≅.
5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)
Since <EDF is 58°, <CDF would also be 58°
Hope you understood and have a nice day!! :D
Help pleasee needed
Answers
Answer:
Yes
AA similarity
DCE
Step-by-step explanation:
plz give thx and brainliest!
Identify the property that justifies the following statement
1. Distributive Property of Congruence
2. Symmetric Property of Congruence
3. Reflexive Property of Congruence
4. Transitive Property of Congruence
Answers
Answer:
Transitive property of congruence
Step-by-step explanation:
PLEASE HURRY I'LL GIVE THE MOST BRAINLY!!!!!!!!!!!!!! Apples are on sale for $1.49 per pound. What is the price for 2 1/2 pounds of apples? Express your answer in decimal form, and round your answer to the nearest hundredth.
Answers
Answer:
$3.725
Step-by-step explanation:
1.49/ per pound
1.49× 2.5= 3.725
1) Which of these are equivalent to - ? Choose ALL that apply.
PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*
Answers
1. Solve the system and find the solution.*
3x + 4y= 4
y = 3x - 14
Answers
sketch the graph y=x^2+2x+3, indicating clearly the coordinates of any intersection and the coordinates of axes
Answers
An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground.
Answers
Answer:
14 minutes.
Step-by-step explanation:
To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:
2,150X = 30,100
X = 30,100 / 2,150
X = 14
Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.
what is the value of x?
Answers
Answer:
i go with 55
Step-by-step explanation:
Answer:
25°{vertically opposite angle}
hope it helps.
Which expression correctly represents "nine less than the quotient of a number and four, increased by three"?
Answers
Answer:
x/4-9+3
Step-by-step explanation:
WILL GIVE BRAINLEST
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
William Bennett
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answers
Answer:
do we answer all of them are just one
Find the resultant of two displacement vectors A and B shown below. The magnitude of A is 20m, and the magnitude of B is 30m
Components A: ____ ____
Components B: ____ ____
Answers
The prism and pyramid above have the same width, length, and height. The volume of the prism is 36 cm3. What is the volume of the pyramid?
Answers
Base Area and height being the same for a pyramid and a prism, the volume of the pyramid is always one third that of the prism.
A similiar fact pertains to Cone vs Cylinder...these 3 dimensional volumes have a ratio of 1/3 to one another.
In two dimensions, there's a ratio of 1/2 between areas of triangles and rectangles having the same base & height.
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1a. What does the variable "x" represent?
1b. What equation represents this word problem?
1c. What is the solution to the word problem?
(Please help me with this quiz)
Answers
Step-by-step explanation:
We are solving for the number of students in each bus, so let x represent the number of students in each bus.
We have 4 + 9x = 472.
=> 9x = 468, x = 52.
Hence there are 52 students on each bus.
Please help quickly as possible thank you
Answers
Simplify the expression: 16k + 8 - (6k + 3)
Answers
Answer:
Step-by-step explanation:
16k +8 -(6k+3)
= 16k +8 -1(6k+3)
= 16k + 8 -6k -3
= 10k +5
I hope this is self-explanatory. If any question, please let me know.
Thanks, hope this will help you:)
Answer:
k=-1/2
Step-by-step explanation:
16k+8-(6k+3)
16k+8-(6k+3)=0
16k+8-6k-3=0
16k-6k+8-3=0 ( rearrange)
10k+5=0
10k= -5
k= -5/10( simplify)
k -1/2
check the answer again
omg sryyy that's not the answer I thought we had to find the value of k ....I cant delete it really sry
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answers
Answer:
Step-by-step explanation:
xhxj
PLEASE HELP PLEASE 100 POINTS PLUS BRAINLIEST
(I had the answer already but it deleted and now I can’t find it)
Answers
Step-by-step explanation:
Area of Sector
= θ/360° * πr² (degrees) or 0.5r²θ (radians)
Question 11:
(88°)/360° * π(19)² = 277.23ft².Question 12:
(260°)/360° * π(11)² = 274.54mi².Question 13:
0.5(6.2)²(7π/12) = 35.22km².Question 14:
0.5(7.1)²(5π/3) = 131.97cm².Question 15:
(215°)/360° * π(4.5)² = 37.99yd².Question 16:
0.5(21.4)²(13π/18) = 519.54m².here is the answers!
Area of Sector
= θ/360° * πr² (degrees) or 0.5r²θ (radians)
Question 11:
(88°)/360° * π(19)² = 277.23ft².
Question 12:
(260°)/360° * π(11)² = 274.54mi².
Question 13:
0.5(6.2)²(7π/12) = 35.22km².
Question 14:
0.5(7.1)²(5π/3) = 131.97cm².
Question 15:
(215°)/360° * π(4.5)² = 37.99yd².
Question 16:
0.5(21.4)²(13π/18) = 519.54m².
2x^3-3x-5=O wat the answer
Answers
solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!
Answers
Hey there!
The answer to your question is [tex]-2 \frac{3}{11}[/tex]
[tex]-2(4x+4) - 3x -2= 34[/tex] Write the equation
[tex]-8x - 8 - 3x - 2 = 34[/tex] Distribute -2
[tex]-11x-10 = 34[/tex] Combine like terms
[tex]-11x = 24[/tex] Add 10 to both sides
[tex]-2 \frac{3}{11}[/tex] Divide both sides by -11
Hope it helps and have a great day!
1) Jared got 18 out of 25 questions correct on a quiz. What grade did he get?
Answers
Answer:
72 or 72/100 or 72% or whatever
Step-by-step explanation:
18/25= .72 Simple!
Find the area of the parallelogram in square units.
Answers
The width is 8
And the length is 5
8 x 5 is 40
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answers
Answer:
????????????????????????????????????????
there are 8 playing cards in a bag. 2 of those cards are spades. what is the probability of picking a spade randomly from a bag?
answer as a simplified fraction in form a/b
