In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.

Answers

Answer 1

9514 1404 393

Answer:

  15.7°

Step-by-step explanation:

The law of cosines can be used to find side s:

  s² = r² +q² -2rq·cos(S)

  s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903

  s ≈ 16.849

Then the law of sines can be used to find angle Q.

  sin(Q)/q = sin(S)/s

  sin(Q) = (q/s)sin(S)

  Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°

Angle Q is about 15.7°.

In QRS, Q = 9.4 Cm, R = 8 Cm And S=151. Find Q, To The Nearest 10th Of A Degree.

Related Questions

i need help on math please solve this

Answers

Answer:

6/13

Step-by-step explanation:

because if you do 10-4=6

Find the expression that is equivalent to:
x2 - 16x + 64

a (x – 8)(x + 8)
b (x + 8)(x + 8)
c (x + 8)^2
d (x – 8)^2

Answers

Answer:

D. (x – 8)^2

Step-by-Step Explanation:

x2 - 16x + 64:

Step 1: Use the sum-product pattern.

[tex]x^{2} -16x+64\\x^{2} -8x-8x+64[/tex]

Step 2: Common factor from the two pairs.

[tex]x^{2} -8x-8x+64\\x(x-8)-8(x-8)[/tex]

Step 3: Rewrite in factored form.

[tex]x(x-8)-8(x-8)\\(x-8)(x-8)[/tex]

Step 4: Combine to a square.

[tex](x-8)(x-8)\\(x-8)^{2}[/tex]

What is value of 4 to the power of negative 3

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

and 4³ = 4 × 4 × 4 = 16 × 4 = 64

Then

[tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

0.015625

uokcdjnjhxfukbgy

Help me, please!!!

Lesson 3-8. Write an equation for the line perpendicular to the given line through the given point.

Answers

Answer:

y = -3x + 14

Step-by-step explanation:

Given line:

y = 1/3x - 2/5

Perpendicular lines have negative-reciprocal slopes.

We will have a line:

y = -3x + b

Use the coordinates of the given point to find the value of b:

-1 = -3(5) + b-1 = - 15 + bb = 14

So the line is:

y = -3x + 14

2p³+5p²+6p+15. Solve by grouping

Answers

Answer:

[tex]2 {p}^{3} + 5 {p}^{2} + 6p + 15[/tex]

Step-by-step explanation:

there are not any like terms, so you can not add anything together.

like terms means it has the same variable (letter) and exponent or it is a constant (a number by itself)

The slope of ( 3, 5 ) with ( 4, 6 )

Answers

I hope this helps you

Bro Pls Help Me With Math

Answers

Answer:

distributive property of multiplication.

Step-by-step explanation:

What is the length of time
passed from 3:45 p.m. to 10 p.m.?

Answers

Answer:

your answer is the length of time is 7 hours and 15 minutes

Step-by-step explanation:

hope it helps

Question 6
What is the slope of the line whose equation is
2y = 3x + 4?

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

y = mx + c

m = the slope

2y = 3x + 4

y = 3x + 4 / 2

y = 1.5x + 2

slope = 1.5

Identify the conclusion of the statement Jack will go to school if today is Monday.

Jack will not go to school.
Jack will go to school.
Today is not Monday.
Today is Monday.

What can we determine based on the following information
Given: If an angle is acute, then it cannot be obtuse.
< A is always obtuse.
< A is sometimes obtuse.
< A cannot be obtuse.
No conclusions can be made based on the given information.

Answers

every exam question:

I need a word question that makes sense as in it gets the right answer, it has to be a negative divided by a positive

Answers

Answer:

-9 ÷ 3 = -3

Step-by-step explanation:

is this what you need?

Please help with this math problem ASAP! Will give brainliest!

Answers

Answer:

I only know what y is, y is 4a, wait I think a is z and z is a. I’m not sure

Step-by-step explanation:

a = 36°y = 144°z = 36°

Step-by-step explanation:

value of a :

4a + a = 180°

5a = 180°

a = 36°

value of y :

y = 4a

y = 4(36)

y = 144°

value of z :

z = a

z = 36°

Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem

Answers

9514 1404 393

Answer:

  Definition of midpoint

Step-by-step explanation:

The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...

  Definition of midpoint

__

A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.

HELP PLEASE!!!!.......

Answers

I’m pretty sure you start off the y at -3 then you go down once and go to the right 2 times. Sorry if it’s wrong

Answer:

Step-by-step explanation:

-1/2x-3

=-1/2x+-3

=-1/2x-3

please whats-2 5/ 11 - 7 1/11

Answers

Answer:

=-2(5/11)-7(1/11)

=-10/11-7/11

=(-10-7)/11

=-3/11

a square has a perimeter of 72 units. if its length measures 3y and its width measures 2x, what is the area of the square

Answers

Answer:

324

Step-by-step explanation:

square has 4 sides.

perimeter adds all sides to make 72

72/4=18 units each side

length * width =area of square

square has all sides equal, so 3y and 2x are tricks to confuse. All sides are 18.

18*18= 324

What is M less than A

Answers

I think you mean to ask what is the measure of angle A.

You can find the third angle of the bottom triangle by 180 - 43 - 35 = 102

The vertical angle above it is also 102.

Then, to find the measure of angle A, you do 180 - 102 - 18 = 60

So, the measure of angle A is 60 degrees.

Answer:

60°

Step-by-step explanation:

Since Angle E is same for both triangles, as vertical angles, the sum of the other two interior angles should be same.

Then we have:

m∠A + m∠B = mC + m∠Dm∠A + 18 = 43 + 35m∠A + 18 = 78m∠A = 78 - 18m∠A = 60

Brandon bought a pair of sneakers for $55
that had a regular price of $90.

Answers

Answer:

brandon paid $35 more than retail value.

Answer:

Dirty 5 more than retail value

Luisa is saving money to buy a new laptop computer that costs $460 . She started with $110 and every month she saves $25 . Her savings can be modeled by the function s (x) =25x+110

A : graph the equation below make sure you label each axis with the appropriate unit of measure

B. Write a statement using function notation that shows when Luisa will reach her goal

C: use words to describe the symbolic statement

Can you guys please help me I’ll mark you as a brainliest . Please help just this question please

Answers

Answer:

A: *Graph shown in image*

B: She will reach her goal when the x is 14 (14,460) with y being 460 (or the goal) giving you the equation [tex]y = \frac{50}{2} x + 110[/tex] going up 50 and going right 2 with x being 7 meaning you would have to go up 50 and right 2, seven times to reach 460.

Step-by-step explanation:

A: From your previous question you asked 14 hours ago with a screenshot, you did your graph wrong so for YOU make your graph look like the second image. (Plot the point 0,110 for the y intercept and plot -4.4,0 for the x line)

B: Lot's of explaining but you will get it once you add it to your own graph and go with the flow. Kind of like slope intercept form.

For C: you can answer in your own words since I gave you the priority answer(s)

What is the sum of the addition equation 0.6 + 0.2 = ________? Use the decimal grid to help you solve. (2 points)

a decimal grid partitioned into ten equal parts, with six parts shaded orange and two parts shaded purple

Group of answer choices

0.4

0.6

0.8

1

Answers

0.8. Because just add
2 + 6 = 8. This is the same but with a decimal so .2 + .6 = .8

PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE

Answers

Step-by-step explanation:

Think of it this way what if an exponent had 1 so like 10^1

that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps

The number T of teams that have participated in a robot-building competition for high-school students over a recent period of time x(in years) can be modeled by T(x) = 17.155x^2 + 193.68x + 235.81, 0 ≤ x ≤ 6.

After how many years is the number of teams greater than 1000? Justify your answer.

Answers

Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.

The number of teams after x years is given by:

[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]

Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:

[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]

[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]

Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:

[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]

[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]

[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]  

We want the positive root, so the number of teams is greater than 1000 after 3.1 years.

A similar problem is given at https://brainly.com/question/10489198

How many inches are in 4 meters? meters > feet inches 4 m/1 × a/b × c/d = 157.48 in. 1. b d b



a =
b =
c =
d = ​

Answers

Answer:28 / 4 = -7.

Step-by-step explanation:

28 / 4 = -7.28 / 4 = -7.28 / 4 = -7.

What is an algebraic expression for this word phrase?

5 more than the product of 7 and n


5 + 7n

5(7+n)

7(5+n)

5 + 7 + n

Answers

Answer:

The value of the algebraic expression when n is given as 6 will be 38.

An algebraic expression is when we use numbers and words in solving a particular mathematical question.

Based on the information given in the question, the expression will be:

= 1 + 7n - 5

Note that the value of n = 6

Therefore, 1 + 7n - 5 will be:

= 1 + 7n - 5

= 1 + 7(6) - 5

= 1 + 42 - 5

= 38

Step-by-step explanation:Therefore, the value of the algebraic expression when n is given as 6 is 38.

In London. I pint of milk costs 58p.
In Paris, 1 litre of milk costs 1.05 euros.
1 litre = 1.76 pints
£1 = 1.17 euros
In which city is the milk better value for money, London or Paris?
You must show your working.

Answers

Comparing the equivalent cost of Milk in Euro in the two countries, then we can conclude that Milk is a better value for money in Paris.

In other to make accurate comparison of the cost ; we need to using the same unit or milk and same currency value :

Cost of 1 pint of Milk in London :

1 pint = 0.58 pounds

The equivalent value of 1 pint of Milk in terms of Euro in London will be :

1 pound = 1.17 euro

0.58 pound = x

Cross multiply :

x = 1.17 × 0.58

x = 0.6786 euro

x = 0.68 euro

Hence, 1 pint of Milk cost 0.68 euro in London

Cost of 1 pint of Milk in Paris :

1 Litre = 1.76 pint

Hence,

1.76 pint = 1.05 euro

1 pint = c

1.76c = 1.05

c = 1.05 / 1.76

c = 0.597 euro

Hence, cost of 1 pint of Milk cost 0.60 euro in Paris

Therefore, since the cost of Milk in Paris cost less in Paris than in London, then Milk is a better value for money in Paris.

Learn more :https://brainly.com/question/18109354

100x100x100x100x100x100x100+=

Answers

Answer:

100,000,000,000,000

Write the equation of the line, in standard form, that passes through the points (-2, 2)
and (4, 5). Show all work

Answers

x1-y1/x2-y2.
-2-4/2-5.
-6/-3
answer: 2

A rectangular prism has a length of 5/6​​ inches and a width of 3/5​​ inch. The volume of the prism is 2/3​​ cubic inch. Find the height of the prism. Write your answer as a fraction or mixed number in simplest form

Answers

Answer: 1 1/3 inches

Imagine you are a restaurant owner. Your total food cost is $85,000 and your total food sales are $250,000. What is your food cost percentage? *
1 point
25%
34%
37%
38%

Answers

34% I’m just typing now because I need 20 characters

pls help with full thing

Answers

for the first one, the fraction version for 0.25 is 1/4 and the percentage is 25%
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