Answers
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
Related Questions
help mee !!!
The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Show all work
Answers
Answer:
72
Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches
solve the system of equations x+y=6 and y+3x=4
Answers
Answer: x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4
Please Help ASAP
A car travels 220 miles in 4 hours. If the car travels at the same speed, how far will it have traveled after 6 hours?
Answers
Answer: 330
Step-by-step explanation:
220 divided by 4 is 55 meaning 55x4=220 so in that case 55x6=330
The gas mileage of Car A is 21 miles per gallon. The gas mileage of Car B is 30 miles per gallon. Which of the following graphs would represent this data most accurately?
Answers
Answer:
Do you have the pictures? Otherwise I'm afraid I can't help you haha. Show me the pictures and I'll have you an explanation and answer :)
Step-by-step explanation:
Quadrilateral RUST has a vertex at R(2, 4).
T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)
Answers
Given:
The coordinate of point R in quadrilateral RUST are (2,4).
R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 3, centered at the origin, then
[tex](x,y)\to (3x,3y)[/tex]
We value R(2,4).
[tex]R(2,4)\to R_1(3(2),3(4))[/tex]
[tex]R(2,4)\to R_1(6,12)[/tex]
The rule of translation is:
[tex](x, y)\to (x+4,y)[/tex]
Using this rule, we get
[tex]R_1(6,12)\to R'(6+4,12)[/tex]
[tex]R_1(6,12)\to R'(10,12)[/tex]
Therefore, the coordinates of point R' are (10,12) and the correct option is B.
When you exercise, your target heart rate r at 70% can be determined by the formula r = 0.7(220 − a) where a represents your age in years. Solve the formula for a.
PLEASE HELP
Answers
don’t use those links they’re scams
The question says find the missing angles HELPP
Answers
Answer:
y: 71 degrees
z: 71 degrees
v: 71 degrees
x: 54.5 degrees
w: 54.5 degrees
Step-by-step explanation:
Ok, I might be wrong, please don't hate me!!!!
Since all triangles are 180 degrees, you can find all the measure while knowing only one angle measure.
To find y and z, you need to subtract 180 degrees by 38 degrees:
180 - 38 = 142
Since there are two angles, you need to divide the answer by 2.
142 / 2 = 71 degrees.
Since y and v are directly across from each other, they are the same measure (71 degrees).
With measures x and w, you do the same process of subtracting 180 by the value you know.
180 - 71 = 109
Then divide by 2.
109 / 2 = 54.5 degrees.
Gabe mails two packages. One package weighs as much as the other
package. The total weight of the packages is 7 lb. Write and solve an equation
to find the weights of the two packages. Show your work.
I have to write an equation and then solve it. Help.
Answers
Answer:
Both packages are 3.5 lb.
The equation is 7 / 2
Step-by-step explanation:
All you have to do is divide 7 by 2.
7 / 2 = 3.5
3.5 * 2 = 7
So, the answer is 3.5
Hope this helps! :)
Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinner is divided into 9 equal sections. Starting from the top right and moving clockwise direction, the regions are labeled 1,2,3,4,5,6,7,8, and 9. The spinner pointed at near the boundary line of 3.
Answers
Answer:
1/18
Step-by-step explanation:
yur welcome
Use the distributive property to simplify this expression 4(-6z + 4)
Answers
Answer:
-24z+16
Good luck!
Find 5 Rational Numbers Between 1 and 2 using (a+b/2) where a=1 and b=2.
Answers
Answer:
There are two ways to find the rational number between any two numbers. I will tell you an easy method to find it.
As we have to find 5 rational numbers between 1 & 2
Take 5 and add 1 to it i.e. 5+1= 6
Now take the first number and multiply and divide it by 6 i.e.
1x6/6 = 6/6
Also take the second number and multiply and divide it by 6 i.e.
2x6/6= 12/6
This is done to convert 1 & 2 into rational number i.e. in form of p/q
Now we have two numbers 6/6 and 12/6 so five rational numbers between them are
7/6, 8/6, 9/6, 10/6, 11/6
The values of these number you can check will be between 1 & 2. Actually between any two number there are infinite number of rational numbers.
help out please !
Select all of the quadratic expressions in vertex form.
A (2+4)^2– 3
B (- 5)^2+ 2
C x^2+ 2x + 5
D x (x+2)
E (2+4)^2
Answers
Answer:
A C E
Step-by-step explanation:
3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?
Answers
Answer:
Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.
A trig identity is an equation that is true for all values of x;
For example:
sin²x + cos²x will always equal 1 no matter what the value of x.
There are some equations considered to be identities that are in fact not true all the time.
tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).
A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.
For example:
sin²x - 1 = 0 is only true for some values of x.
sin²x = 1
sinx = ±√(1) = ±1
sinx = 1 or sinx = -1
x = sin-11 or x = sin-1(-1)
x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).
To learn more about trigonometric identities and equations refer to:
https://brainly.com/question/23058478
#SPJ2
PLEASE HELP ME!!! ITS DUE TONIGHT!!!
A number cube labeled 1 through 6 is rolled once in the spinner shown is spun once. The spinner has four equal sized sections. This experiment is repeated 60 times. The relative frequency for getting a sum of five was 1/5. What is the difference between the number of expected outcomes in the number of actual outcomes?
Answers
Answer:
2
Step-by-step explanation:
I did it on Mc Graw Hill
Difference between number of expected outcomes and number of actual outcomes is; 2
What is the number of outcomes?
From the question, we are told that the number cube is labelled from 1 to 6.
This means that there are supposed to be 6 expected outcomes.
However, from the spinner, we see only 4 numbers which are 1, 2, 3 and 4. This means the number of actual outcomes will only be 4.
Thus;
Difference between expected outcome and actual outcome = 6 - 4 = 2
Read more on expected outcomes at; https://brainly.com/question/24855677
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?
Answers
Answer:
120 gold is in the alloy
Step-by-step explanation:
G:S
6:4
6+4=10
200/10=20
20*6=120
Hope this helps!
A group of preschoolers has 8 boys and 24 girls, what is the ratio of boys to girls?
Answers
Answer:
1/3
Step-by-step explanation:
8
24
=
1
×
8
3
×
8
Fill in the blank in the sentence below with the correct term. The ___________ is the number or numbers that occur most often in a set.
Answers
A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?
Answers
Answer:
34
Step-by-step explanation:
(1+i)(3-5i) equals what
Answers
Answer:
8-2i
Step-by-step explanation:
Need help with this question
Answers
Answer:
x = 2.3
Step-by-step explanation:
Since we know all three sides, what we do here is multiply side a & b's lengths together and divide by the hypotenuse. (a + b)/c
(2.5 * 6)/6.5
Step 1: Multiply 2.5 by 6 to get 15.
15/6.5
Step 2: Convert 6.5 into a whole number by multiplying it by 10. Make sure to do that to the 15 as well.
150/65
Step 3: 150/65 simplifies to 30/13 (GCF: 5).
30/13
Step 4: 30/13 becomes 2 4/13.
2 4/13
Step 5: 2 4/13 rounds to 2.3
2.3 is the value of x.
The location of four buildings on a coordinate grid are as follows:
Building 1 is at (−5, −3).
Building 2 is at (−5, 5).
Building 3 is at (4, 5).
Building 4 is at (4, −3).
A bike courier begins at building 1 and then delivers packages to building 2, then building 3, and then building 4. Then she bikes back to building 1. The path between each building is a straight line. One unit on the coordinate grid equals 100 feet.
What is the total distance the courier biked?
Enter your answer in the box.
Answers
Answer:
3400 feet
Step-by-step explanation:
Distance between building 1 and building 2 = |5+3| = 8
Distance between building 2 and building 3 = |4+5| = 9
Distance between building 3 and building 4 = |-3-5| = 8
Distance between building 4 and building 1 = |4+5| = 9
total distance = 8 x 2 + 9 x 2 = 34
total distance in feet = 34 x 100 = 3400 feet
Answer: 3400 feet
Step-by-step explanation:
A perfectly square cornfield has an area of 9 miles. Which of the following is true>
A, Each side of the field is 9 miles long
B, Each side of the field is 3 miles long
C Each side of the field is 2.25 miles long
D Each side of the field is 900 miles long
Answers
Answer:
The answer is b
Step-by-step explanation:
imagine needing help on a brain pop quiz
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 238.5 grams of this cereal
Answers
Answer: 147.87 calories
Step-by-step explanation:
Let the amount of calories in 238.5 grams of this cereal be represented by x.
Based on the information given, we can form an equation as:
110/177.4 = x/238.5
Cross multiply
177.4 × x = 238.5 × 110
x = (238.5 × 110) / 177.4
x = 147.87
Therefore, there are 147.87 calories in 238.5 grams of this cereal.
5
What is the area of the figure?
25 mi
12 mi
20 mi
18 mi
8 mi
43 mi
square miles.
Answer:
Answers
(20x25)+(18x8)
(500) + (144)
=644
Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
hundredth.
חו
A=
in?
Answers
Answer:
94.985in^2
Step-by-step explanation:
Given data
Diameter= 11inches
Radius = 5.5 in i.e 11/2= 5.5inches
The Area of a circle is given as
Area= πr^2
Substitute
Area= 3.14*5.5^2
Area= 3.14*30.25
Area= 94.985 in^2
Hence the area is 94.985in^2
The answer is 94.985in^2
rounded to neaarest hundreth 94.99in^2
Find the length of CE
A. 17.8 units
B. 27.8 units
C. 37.8 units
D. 51.5 units
Answers
Answer:
B. 27.8 units
Step-by-step explanation:
Hope it Help
Lila collected rain water for three days. On the first day she collected 23 liter of rain water. The last two days yielded 14 liter each how much did lila collect in all
Answers
Answer:
47 liter 14+14+23
Step-by-step explanation:
14+14+23=47
Answer:
the awnsers 51
Step-by-step explanation:
you do (14x2)=28+23=51
Evaluate the following: 77 - |( -8)(3) + (-10)(4)|
Answers
Answer:
13
Step-by-step explanation:
77−|(−8)(3)+(−10)(4)|
=77−|−24+(−10)(4)|
=77−|−24+−40|
=77−|−64|
=77−64
=13
Hope this helps
what is the anwser for 7x−x
Answers
Answer:
6x
Step-by-step explanation:
7x - x
6x
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answers
Answer:
470.81 or 470.815
Step-by-step explanation: