Answers
Answer:
p = 4.0
q = 2.0
angle <P = 64 degrees
Step-by-step explanation:
We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:
[tex]cos(26^o)= \frac{adjacent}{hypotenuse} \\cos(26^o)= \frac{p}{4.5}\\p= 4.5 *cos(26^o)\\p=4.0445[/tex]
which rounded to the nearest tenth gives : p = 4.0
Now we use the sine function to help us determine side q:
[tex]sin(26^o)= \frac{opposite}{hypotenuse} \\sin(26^o)= \frac{q}{4.5}\\q= 4.5 *sin(26^o)\\q=1.9726[/tex]
which rounded to the nearest tenth gives:
q = 2.0
Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:
< P + < Q + < R = 180
< P + 26 + 90 = 180
< P = 180 - 26 - 90
< P = 64 degrees
Related Questions
2
It takes Nathan 4 minutes to solve 3 math problems. Choose a ratio tool to determine how long will it take Nathan to solve 12 math problems.
Answers
Answer: since 4mins->3math prob.
then 12/3=4 and 4x4=16
It will take him 16 minutes to solve 12 math problems
Step-by-step explanation:
What type of angles are 5 and 4
Answers
Answer:
show us a pic of the triangles
Step-by-step explanation:
Answer:
repost no pic
Step-by-step explanation:
A) −10 − 13 − 17 − (−40)=
B) 111 − (31 + 78) − 7 + 14 =
Answers
Answer:
A) 0
B) 9
Step-by-step explanation:
A) −10 − 13 − 17 − (−40) [B.E.D.M.A.S rule] (First bracket)
= - 10 - 13 - 17 + 40
= 40 - 10 - 13 - 17. (Then subtraction)
= 40 - 40
= 0 (Ans)
B) 111 − (31 + 78) − 7 + 14 [B.E.D.M.A.S rule] (First bracket)
= 111 − 109 − 7 + 14. (Then addition)
= 111 + 14 - 109 - 7
= 125 - 116. (At last subtraction)
= 9 (Ans)
200 is between what two consecutive whole
numbers?
A.
14 and 15
B.
15 and 16
C.
19 and 20
D.
39 and 40
E.
99 and 100
Answers
Write the equation of a line in slope-intercept form if m=2 and b=8.
Answers
Answer:
y=2x+8
Step-by-step explanation:
The slope intercept form is:
y=mx+b
with m and b already given, just plug in m and b and you will get your answer.
A bag contains:
• 7 red marbles
• 5 blue marbles
.6 green marbles
• 3 black marbles
• 5 yellow marbles
A marble will be drawn from the bag and replaced 100
times. What is a reasonable prediction for
the number of times a red or yellow marble will be
drawn?
Answers
Answer:
5/7
Step-by-step explanation:
T-shirts are 3 for $18. Tia bought 4 T-shirts. How much did she spend?
Answers
Answer:
24$ I think I multiplied 6 times 4
How does the size of the product change from problem to problem?
Answers
F)-5y=BY
y=
F) check
Answers
Answer:
y=b+5f
Step-by-step explanation:
I think that's the answer
A runner is preparing for a marathon that is cut into 5 equal sections. The marathon is 42.95 kilometers long. How long is each section of the marathon?
214.75 km
21.475 km
8.59 km
0.859 km
Answers
Answer:
you put ht b
Step-by-step explanation:
Which of the following values of x makes the rational expression below undefined?
Answers
Answer:
it would be i dont know bc
theres no pic dude!
Step-by-step explanation:
William went shopping for a new phone because of a sale. The store was offering a 15% discount. If the price on the tag was $41, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
Answer: $34.85
Step-by-step explanation: $41 x 15%= 34.85 before tax
What is the greatest common factor of 19 and 13?
Answers
Answer: GCF = 1
Step-by-step explanation:
A factor is a whole number that when multiplied by another whole number equal given number.
Factors of 19: 1 and 19
Factors of 13: 1 and 13
The only factor the two numbers have in common is 1
Answer:
The GCF of 19 and 13 is 1
Step-by-step explanation:
The only number 19 and 13 have in common is one
Can I please get help? Find M1 and M2
Answers
Answer:
m∠1 = 110° and m∠2 = 70°
Step-by-step explanation:
m∠1 = 110° since vertical angles
To find m∠2, m∠1 and m∠2 must add to 180°
m∠1 + m∠2 = 180°
110° + m∠2 = 180°
m∠2 = 70°
Jeffery walked 1/3 mile on Monday and jogged 4/5 mile on Tuesday. How far did he wal and jog on Monday and Tuesday combined
Answers
Answer:
17/15
Step-by-step explanation:
Find the GCF of the denominators
15
Convert the fractions
1/3 ---> 5/15
4/5 ---> 12/15
Add.
12/15 + 5/15 = 17/15
A rectangle measures 3 1/4 inches by 3 3/4 inches. What is the area
Answers
Answer:
12.1875 or 195/16 or 12 3/16
Step-by-step explanation:
All you must do is multiply them by each other
hope this helps
Answer:
12.19 inches
Step-by-step explanation:
please mark brainliest
Anyone know this please I really need help
Answers
The angle is a right angle so the total degree of the angle would be 90°
Step-by-step:
Equation:
(4x+1)+(x-1) = 90
5x = 90
X = 18
Smaller angle:
(X-1)
(18-1)
17°
which number is a solution of the inequality c>5? Use the number line to help answer the question.
Answers
Answer:
Step-by-step explanation:
https://brainly.com/question/22157981
Nora made 15 gallons of lemonade for a community picnic. She served 100 pints to the people. How many pints are leftover? Please help!
Answers
Hope it helps.
1 gallon has 8 pints. 15*8 120 then substrate by the pints used= 20
Answer:
There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.
Brainliest please?
What is 106% of = $7.95
Answers
Answer:
8.427
Step-by-step explanation:
7.95/x=100/106
(7.95/x)*x=(100/106)*x
7.95=0.94339622641509*x
(0.94339622641509) to get x
7.95/0.94339622641509=x
8.427=x
x=8.427
106% of 7.95=8.427
Lez earns $9.28 per hour at her part -time job. She works 5.5 hours on saturday. How much money does lex earn?
Answers
Answer:
51.04 ı think
Step-by-step explanation:
Answer:
she makes 51.04
Step-by-step explanation:
find the measurement of the question mark. please help image included.
Answers
9514 1404 393
Answer:
45°
Step-by-step explanation:
The base angles in any isosceles triangle are congruent.
? = 45°
__
The acute angles in any right triangle are complementary.
? = 90° -45° = 45°
__
However you decide to think about it, you get ? = 45°.
help me with this math quiestion its the picture below
Answers
Answer: 6 5/7
Step-by-step explanation:
What is the arc length of a segment of a circle with a central angle of 165° and a radius of 3 inches?
Answers
Answer:
11π/4 (radians) or 495° (degrees)
Step-by-step explanation:
Convert 165° to radians:
165 * π/180 = 165π/180 = 11π/12
s = r/Ф
arc length = 3(11π/12) = 33π/12 = 11π/4
Convert back to degrees if asked to:
11π/4 * 180/π = 495° (Note that this is 165° * 3, see the pattern?)
A cone has a volume of 350 cubic meters. The area of the baseis
70 square meters. What is the height of the cone?
Answers
Answer:
The height is 15
The price of a technology stock was $9.63 yesterday. Today, the price rose to $9.74. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answers
Question
Find the slope of the line
Slope - m
Enter your answer as an integer or as a reduced fraction in the form A/B,
Check Answer
Answers
Answer:
m=-5/2
Step-by-step explanation:
Two points on the line are (-2, 1) and (0, -4).
So, we have to use the expression Δy/Δx to find the slope.
So, (1-(-4))/(-2-0)=5/-2=-5/2.
The slope of the line is -5/2
Here,
In the graph,
Two points on the line are (-2, 1) and (0, -4).
We have to find the slope of graph.
What is Slope?
A measure of its steepness is called the slope.
Now,
Two points on the line are (-2, 1) and (0, -4).
So, we have to use the formula of slope to find the slope.
Hence,
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
So, [tex]m = \frac{-4-1}{0-(-2)} = \frac{-5}{2}[/tex]
Therefore, The slope of the line is -5/2.
Learn more about the slope of line visit:
https://brainly.com/question/12941985
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Abigail invites her friends over for a pajama party. She bought 12 tubs of popcorn for her friends. Her brother, Aiden took away a few tubs of popcorn for his friends. If 5 tubs of popcorn remain, how many tubs did Abigail share with her friends?
Answers
Answer:
7 tubs
Step-by-step explanation:
aiden took "x" tubs
remaining tubs=5
12-x=5
x=12-5
x=7
Answer:
Step-by-step explanation:
FrEe PoInTs ThE sTrUgGlE iS rEaL bRo
A university health services physician is concerned about how much sleep freshmen are getting. She asks a simple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then she constructs a 95% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night
Answers
Answer:
c
Step-by-step explanation:
If the level of confidence falls to 90%, the length will likewise fall.
What is a Confidence interval?A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population means that sits between an upper and lower interval is frequently stated as a percentage.
Let p be the proportion of students who gets at least 8 hours of sleep the previous night.
here, Sample size = n = 50
the 95% confidence interval for true proportion is,
P ± Zₐ/₂ * [tex]\sqrt{P{\frac{1-P}{n} }[/tex]
P ± 1.96 * [tex]\sqrt{P{\frac{1-P}{50} }[/tex]
95% confidence length = 2 *P ± Zₐ/₂ * [tex]\sqrt{P{\frac{1-P}{n} }[/tex]
= 2 * 1.96 * [tex]\sqrt{P{\frac{1-P}{50} }[/tex] = 3.92 * [tex]\sqrt{P{\frac{1-P}{50} }[/tex]
For 90% confidence length = 2 *P ± Zₐ/₂ * [tex]\sqrt{P{\frac{1-P}{n} }[/tex]
= 2 * 1.645 * [tex]\sqrt{P{\frac{1-P}{50} }[/tex] = 3.29 * [tex]\sqrt{P{\frac{1-P}{50} }[/tex]
Therefore, if the confidence level decreases to 90% then the length will also decrease.
Learn more about confidence intervals here:
https://brainly.com/question/24131141
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a line that includes the points (-1,-2) and (a,-10) has a slope of 4. What is the value of a?
Answers
(-10 - -2) / (a - -1)
(-10 + 2) / (a + 1)
(-8) / (a + 1)
set this equal to 4 since the slope is given:
4 = -8/(a+1)
multiply (a+1) to both sides
4(a+1) = -8
distribute
4a + 4 = -8
subtract 4 from both sides
4a = -12
divide both sides by 4
a = -3
ANSWER: a = -3