Answer: 30°
Step-by-step explanation:
we have to find the angle adjacent with the right angle. For this we use the (-).
At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.
Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2
Answer:
Step-by-step explanation:
[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]
please help!!!hehene snsn
Answer:
y = 2x+2
As we can see X has 0 while Y has 2 already, meaning the Y intercept has to be 2.
Answer:
its B
Step-by-step explanation:
y=2x
Find the area of the composite area
Answer:
39.8
Step-by-step explanation:
5 + 25 = 30
3.14 * 2.5^2 ( divide it in two since its a semi circle)
add that result with 30
PLEASE PLEASE HELP AND NO SCAM PLEASE
Answer:
15.86
Step-by-step explanation:
6.1*2.6 = 15.86
Answer:
14.6
Step-by-step explanation:
Find the range of values of k for which -7x^2+9x+k is always negative for all real values of x.
Answer:
-7x^2 +9x-ki
Step-by-step explanation:
What is 1/2 plus 1/3 plus 5/6 ??
Answer:
10/6 or 5/3
Step-by-step explanation:
1/2 ---> 3/6
1/3 ---> 2/6
5/6 ---> 5/6
Add those new fractions together:
(3/6) + (2/6) + (5/6) = 10/6 or 5/3
Answer:
10/6 or 5/3
Step-by-step explanation:
Hope it help's :)
HELP! ITS DUE RIGHT NOW HELP
Answer:
Step-by-step explanation:
D
Answer:
x > 2
Step-by-step explanation:2 and under
Two planes just took off from Milwaukee, WI. The first plane is traveling 3
times as fast as the second plane. After traveling in the same direction for 3
hours, they are 606 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
In a class of 27 students, 19 are female and 7 have an A in the class. There are 5 students who are male and do not have an A in the class. What is the probability that a student does not have an A given that the student is female?
Answer: 15/19
Step-by-step explanation:
I need find the value of x
Answer:
x = 115
Step-by-step explanation:
The chord- chord angle x is half the sum of the arcs intercepted by the angle and its vertical angle, then
x = [tex]\frac{1}{2}[/tex] (145 + 85 ) = 0.5 × 230 = 115
Step-by-step explanation:
answer is 115 you should solve it also your answer will be same
Name a pair of lines that are perpendicular
Answer:
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.
Step-by-step explanation:
hope it helps:)
Bob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
Find the area of the figure below. Round to the nearest tenth.
Plz give the answer for 8th and 9th question
Answer:
8. 8/9 is not the multiplicative inverse of –1⅛
9. 0.3 is the multiplicative inverse of 3⅓
Step-by-step explanation:
To answer the above questions, we must understand the meaning of multiplicative inverse. This is illustrated below:
Let y be the number.
The multiplicative inverse of y denoted by y¯¹ (or 1/y) when multiplied with y will give an identity of 1 i.e
y × y¯¹ = 1
Or
y × 1/y = 1
Now, let us answer the questions given above by calculating the multiplicative inverse.
8. The number (y) = –1⅛ = –9/8
Multiplicative inverse (y¯¹) =?
y × y¯¹ = 1
–9/8 × y¯¹ = 1
Divide both side by –9/8
y¯¹ = 1 ÷ –9/8
y¯¹ = 1 × –8/9
y¯¹ = –8/9
Thus, 8/9 is not the multiplicative inverse of –1⅛
9. The number (y) = 3⅓ = 10/3
Multiplicative inverse (y¯¹) =?
y × y¯¹ = 1
10/3 × y¯¹ = 1
Divide both side by 10/3
y¯¹ = 1 ÷ 10/3
y¯¹ = 1 × 3/10
y¯¹ = 3/10
y¯¹ = 0.3
Thus, 0.3 is the multiplicative inverse of 3⅓.
H) Cole worked 20 hours and
earned $500. How many hours must Cole work in order to earn $700?
Please help me :)
Answer:
he would have to work 28 hours
Step-by-step explanation:
Answer:
Cole have to work 28 hours
Devon has $5,768 in his savings account, which is $2,709 more than Serena has in her savings account. How much money does Serena have in her savings account?
Geoff planted dahlias in his garden. Dahlias have bulbs that divide
Answer:
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff's garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs
Step-by-step explanation:
DeVondrea stacked 2
quarters and a nickel on top
of each other. What is the
thickness of the stack of
coins?
Answer:
Step-by-step explanation:
Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels
Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm
Let's do the same for the quarters. Each quarter is worth $0.25.
Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters
Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm
Find the ratio of the two:
39 mm/7 mm = 5.57
One number is five less than a second number. Five times the first is 2 more than 2 times the second. Find the numbers.
The sales tax rate on a new vehicle is 6.5%. If the vehicle is $12,000, then how much will you be charged for sales tax
find the missing variables pythagorean theorem
Answer:
y = 12 x = 12√2 z = 12√3
Step-by-step explanation:
The 45° triangle will also have a height of y so....
y² + y² = x² 2y² = x² y² = x²/2 y = √(x²/2)
The 30° triangle
y² + z² = 24² y² = 24² - z² y = √(24² - z²)
sin 30 = y/24 1/2 = y/24 y = 12
y² = x²/2
12² = x²/2²
2(144) = x² x = √(288) x = 12√2
y² + z² = 24²
z² = 24² - y²
z² = 24² - 12²
z² = 576 - 144
z² = 432
= √(16·9·3)
z = 4·3√3
z = 12√3
y² + z² = 24²
12² + (12√3)² = 24²
144 + 144·3 = 576
2y² = x²
2(12)² = x²
288 = (12√2) = 144·2 = 288
Multiple Choice Question:
x2+2x-48=0 is a(n)
A.) Equation
B.) Expression
Answer:
This is an equation.
Step-by-step explanation:
An expression would mean that there is no equal sign, but since there is, that makes it an equation.
3% as a fraction
a- 1/50
b-3/100
c-30/100
Answer:
b
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
100 represents a whole amount so the numerator would be 3 over 100 because it is 3% out of a total of 100.
find the missing length
Answer:
PQ=36
Step-by-step explanation:
If the triangles are similar, then they must have a common ratio between them.
RQ corresponds with CB, so [tex]\frac{84}{18}=\frac{14}{3}[/tex]
If the ratio is [tex]\frac{14}{3}[/tex], then [tex]\frac{168}{\frac{14}{3}}=36[/tex], so PQ=36.
What’s the missing side length? Round to the nearest tenth please :)))
Answer:
the answer is 4.6
Step-by-step explanation:
the explanation is shown in the following attachment below...
hope this helps...
Give one word for the following.
To find the way, carefully and safely
GPS.....................GPS..............................................................................................
a car is moving 70 miles per hour. how far does it travel in 16secs
HELP ME PLS ITS URGENT!!!!!!!!!!!!
Answer:
180
Step-by-step explanation:
A shirt company packs 24 shirts in a box. How many boxes do they need to pack 14,568 shirts?
Answer:
607 boxes are needed to pack all 14,568 shirts.
Step-by-step explanation:
we need to use division for this to see how many boxes 14,568 shirts will fit in.
14568 / 24 = 607
607 boxes will be needed to pack those shirts.
hope this helped, good luck!
-cheesetoasty
In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?
Answer:
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 934
Given that the population proportion P = 0.51
Q= 1-P
Q = 1- 0.51 = 0.49
The sample proportion
[tex]p = \frac{x}{n} = \frac{501}{934} = 0.5364[/tex]
Level of significance = 0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
Null hypothesis: P < 0.51
Alternative Hypothesis : P > 0.51
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }[/tex]
Z = 1.5950
Final answer:-
Given that P-value 0. 0532
P-value > 0.05
Rejected Alternative Hypothesis and accepted null hypothesis
( OR)
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
The histogram below shows the number of push-ups the students in Hayley's class can do.
Select all of the true statements about the data.
The majority of students can do more than 15 push-ups.
The data distribution is skewed to the right.
More students did 6-10 push-ups than 11-15 push-ups.
The students in Hayley's class can do between 1 and 25 push-ups.
The data distribution is skewed to the left.