Answer:
i. a = 8.7, b = 7.1 and c = 11.2
ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]
Step-by-step explanation:
Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].
I. Applying the trigonometric function to determine leg a, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]
a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]
= 8.675
The length of leg a is 8.7.
ii. To determine leg c,
Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{7.1}{c}[/tex]
⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]
= 11.21
The length of leg c is 11.2.
iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]
Then,
A + B + C = [tex]180^{o}[/tex] (sum of angles at a point)
A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]
A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]
A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]
= [tex]50.7^{o}[/tex]
y=4x+25 find the domain of the function and if it discrete
Answer:
f(x)=xf(x)=x , g(x)=2xg(x)=2x
f(x)=5f(x)=5 , g(x)=xg(x)=x
Step-by-step explanation:
not sure but still,
the function 56-4y=-5x can be used to determine the total amount of money in a coin jar,y,after money is added for x days. what is the rate of change in dollars with respect to the number of days?
Answer:
23
Step-by-step explanation:
lunches cost 14.75 per week how much would 13 weeks of lunches cost fast pls
Answer:
it would cost 191.75
Step-by-step explanation:
i just put it in a proportion like this 14.75/1 = ?/13
then i just multiplied 14.75 and 13 i got the resulting answer 191.75
pls mark brianleist
Solve the linear equation
3.4 + 2(9.7 – 4.8x) = 61.2
The polygons to the right are similar. Find the values of each variable! ( simplify ur answer)
Help mee please i have a headache
Answer:
hi! i'm so sorry about your headache, hope it gets better !
still need help?
Step-by-step explanation:
4x^4+35x^2-9=0 solve by factoring
I need some help please
Answer:
a
Step-by-step explanation:
-5,-13
I hope this helps
Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage.
Answer:
Absolute change = 7.4 million
Relative change percentage = 85.1%
Step-by-step explanation:
Given that:
Number of refugees in 2005 = 8.7 million
Number of refugees in 2015 = 16.1 million
The absolute change :
(Number of refugees in 2015 - number of refugees in 2005)
(16.1 million - 8.7 million) = 7.4 million refugees
The relative change in the number of refugees :
((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%
[(16.1 - 8.7) / 8.7] * 100%
(7.4 / 8.7) * 100%
0.8505747 * 100%
= 85.057%
= 85.1%
what is the slope of (-2,-7),(3,-10)
Answer:
-3/5
Step-by-step explanation:
My work is in the picture I attached
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x Use the drop-down menus to justify Marlena’s work in each step of the process.
Step-by-step explanation:
marlena steps should look like this:
2x + 5 = -10 - x
(minus 5 from both sides)
2x = -15 - x
(add x to both sides)
3x = -15
(divide by 3)
x = -5
Answer:
step 1 addition property of equality
step 2 subtraction property of equality
step 3 division property of equality
Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?
Answer:
Tent: $145
Mattress: $65
Step-by-step explanation:
Tent: 2x + 15
Mattress: x
2x + 15 + x = 210
3x + 15 = 210
3x = 195
x = 65
Tent: 2x + 15 = 2(65) + 15 = 145
Mattress: x = 65
does 27 divided by 5 result in 5 and 6
Answer:
27 divided by 5 = 5.4
Step-by-step explanation:
A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm
what is 763 thousandths in scientific notation
Answer:
763,000 in scientific notation. the scientific notation of 763,000 is equal to 7.63 ×
The teacher-to-student ratio at a small school was 1:10. After 4 new teachers were added, the teacher-to-student ratio changed to 1:6. How many MORE students than teachers were at the school BEFORE the additions were made?
Answer:
10 more to every 1 teacher i believe
Step-by-step explanation:
10 = -3 + x
Question 4 options:
x = 13
x = 7
x = -30
x = -7
Step-by-step explanation:
10= -3+x
10+3=x
x=13 is ur ans
15.2·0.25−48.51÷14.7/x = ( 13/44 − 2/11 − 5/66 ÷2 1/2 )·1 1/5 / 3.2+0.8·(5 1/2 −3.25)
Plz answer soon. I need it urgently. Need by today. Will give 15 points.
Answer:
x = 25
Step-by-step explanation:
15.2 * 0.25 - 48.51 ÷ 14.7 = 76/5 * 1/4 - 3.3 = 3.8 - 3.3 = 0.5
(13/44 - 2/11 - 5/66 ÷ 2 1/2) * 1 1/5 = (13/44 - 8/44 - 5/66 * 2/5) * 6/5 = (15/132 - 4/132) * 6/5 = 11/132 * 6/5 = 1/12 * 6/5 = 1/10
3.2 + 0.8 * (5 1/2 - 3.25) = 3.2 + 4/5 * (22/4 - 13/4) = 3.2 + 9/5 = 3.2 + 2.8 = 5
So after doing all this simplifying and stuff we get 0.5/x = 0.1/5. Using the butterfly method the result is 0.1x = 2.5, multiply both sides by 10 and you get x = 25!! Yayy lol
HELP THIS IS DUE TONIGHT BY TWELVE I DINT KNOW HOW TO DO THIS!!!
Answer:it’s (2,5)
Step-by-step explanation:
PLEASE ANSWER FAST I WILL GIVE BRAINLY A climber is on a hike. After 2 hours he is at an altitude of 300 feet. After 5 hours, he is
at an altitude of 500 feet. What is his average rate of change? Make sure to include
your units!
Answer:
1.661 feet/ hour
Step-by-step explanation:
To find the rate of change, you take (y2 – y1) / (x2 – x1)
Help ASAP ♂️yes or no explanation
Answer:
yes
Step-by-step explanation:
What is the factored form of 250x3 − 16?
Answer: 2(5−2)(25^2 + 10 + 4)
Step-by-step explanation:
I took a test with the same question and got it right. Hope this helps
8. If b(x) = -2(x-50), what is the value of
b(20)? Request
What are the negative and positive coterminal angles of 240 degrees?
The negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.
What are coterminal angles?Two different angles that have identical starting and ending edges are termed coterminal angles however since one angle is measured clockwise and the other is determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have to find the coterminal angles of 240 degrees
Coterminal angles are those whose initial and terminal sides coincide. Depending on whether the given angle is in degrees or radians, adding or subtracting 360° or 2 from each angle yields the coterminal angles. There are countless coterminal angles that can be discovered.
Thus, the negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.
Learn more about the coterminal angles here:
brainly.com/question/23093580
#SPJ6
Can you help me with my math ixl
Answer:
b = 72
Step-by-step explanation:
2b - 62 = b-10
Subtract b from both sides!
b -62 = 10
Add 62 to both sides
b = 72
Step-by-step explanation:
since TUVW is a rectangle, VU = WT
b - 10 = 2b - 62
b = 52
Topic: Properties of polygons
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
write this equation in word form.
x3 + 1
Answer:
X cubed plus one
Step-by-step explanation:
Which set of data contains two outliers?
113, 115, 103, 114, 109, 111, 119
141, 151, 138, 142, 149, 140, 150
99, 113, 91, 104, 109, 114, 97
101, 135, 131, 99, 138, 136, 140
Answer:
D: 101, 135, 131, 99, 138, 136, 140
Step-by-step explanation:
edg2020 (do not get this confused with the question: "which set contains no outliers"
D
I got it right on the test
What is the missing number in the solution to 958 ÷ 10?
Answer:
B.)58?
Step-by-step explanation:
Hope I helped..
Answer:
b: 58
Step-by-step explanation:
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
Find the equation of the linear function represented by the table below in slope-intercept form.
x- 0 1 2 3 4
y- 9 18 27 36 45
Question: Where is the y2? Please be more specific!
Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.