In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.

Answers

Answer 1

Answer:

Area of ΔQRS = 2.3 square inches

Step-by-step explanation:

From the given information,

<S + <Q + <R = [tex]180^{o}[/tex]

51 + 44 + <R = [tex]180^{o}[/tex]

95 + <R = [tex]180^{o}[/tex]

<R = [tex]180^{o}[/tex] - 95

    = [tex]85^{o}[/tex]

<R = [tex]85^{o}[/tex]

Applying the Sine rule, we have;

[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

r = [tex]\frac{2.3*Sin85}{sin51}[/tex]

  = 2.9483

r = 2.9 inches

Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]

  = 2.0559

q = 2.0 inches

From Herons formula,

Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]

s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]

  = 3.6

Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]

                        = 2.2895

Area of ΔQRS = 2.3 square inches

Answer 2

Answer:

2.4

Step-by-step explanation:


Related Questions

I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)

Answers

To me from the picture, all sides look the same. so I’m guessing it’s probably 11

Can somebody explain how I'm supposed to do this??

Answers

Answer:

C

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

:)

PLs help quick,Jonna has 5 yards of fabric.She needs 100 inches of fabric to make curtains.Does she have enough fabric to make curtains?

Answers

Answer:

Yes, she has 80 more inches

Why?

Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.

She has 80 more.

Hope it helps :)

4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?

4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?

How do you use coordinates to find the perimeter and area of polygons?

Answers

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

which expression can be used to find the surface area of the following triangular prism. choose 1 answer.​

Answers

A the answer is A...

Answer:

A is in fact correct.

Step-by-step explanation:

Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.

Answers

Answer: 2=.36, 3=.48, 4=.16

Step-by-step explanation:

If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.

We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.

Outcomes:. Probability:

SS. .60 x .60 = .36

SD. .60 x .40 = .24

DS. .40 x .60 = .24

DD. .40x .40 =.16

Total. 1.00

Lastly group the similar outcomes. SD+DS= .48

The graph for y≥-3.
true
false
helpp me​

Answers

The answer is false.

Answer:

I think it's false

Step-by-step explanation

Help me please I’m not smart -

Answers

don’t use any links, there scams!

I need help please :)

Answers

Step-by-step explanation:

The given equation is :

2x = 10

We need to find the value of x.

This equation has one solution as it is a linear equation having one variable i.e. x.

Dividing both sides by 2,

x = 5

So, the value of x is equal to 5.

Put x = 5. So,

2(5) = 10

10 = 10

Hence, this is the required solution.

You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?

Answers

If its 6% interest a year. In 6 months that 3% interest.
$15 in 6 months
500 + $15
$515

answer (10-4)x4+8 and i will give u brainlyest and 100pts :>>

Answers

Answer:

(10-4)*4+8

=6*4+8

=24+8

=32

Answer:

32

Step-by-step explanation:

Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]

Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].

Finally when we add the last 2 terms together we get our answer of 32.

Hope this helps!

Help me with this question please!

Answers

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84

A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?

Answers

113.60




that’s the answerrrr

please help me out on this..............

Answers

Answer:

Option #2: 32 ÷2

Step-by-step explanation:

Take Note: There are 2 cups in a pint.

Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.

Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.

In the end, you should have gotten option 2 which is 32÷2.

everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?​

Answers

Answer:

Jesse eats lunch at 11:45 a.m.

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

13.068 the same as 13.608

Answers

Answer:

No its not

Step-by-step explanation:

13.603 is more then 13.068  

PLEASE ANSWER EXTRA POINTS AND NAMED BRAINLIEST

Answers

Answer:

5,8  8,3

Step-by-step explanation:

hoped this helped <33

What must be true in order to find a sum for an infinite geometric series?​

Answers

Answer:

That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!

its very easy just try it

Answers

the answer is a. biased

Answer:

it is biased

Step-by-step explanation:

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)

Answers

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

68% confidence level

So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

What is the p-value?

The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.

In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.

[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]

where z has a p-value of 1-[tex]\alpha /2[/tex]

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

n = 100, [tex]\pi[/tex] = 20/100 = 0.2

So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]

z = 0.995

The lower limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]

The upper limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]

Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Learn more about p-value ;

https://brainly.com/question/15407907

If you have $2000 and you made an investment that cost $400 and it gives back 1000 how much

Answers

Answer:

you made 600 profit

Step-by-step explanation:

2000-400=1600

1600+1000=2600

2600-2000=600

Answer: 2600

Step-by-step explanation:

2000 - 400 = 1600 + 1000 = 2600

John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?

Answers

Answer:

0.75 .................

How many triangles can be constructed with angles measuring 110°, 50°, and 20°?


0

1

more than one

Answers

9514 1404 393

Answer:

  (c)  more than one

Step-by-step explanation:

The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...

  more than one

what is the total of 8 and 4 times y​

Answers

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?

Answers

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]

WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :

Answers

Answer:

5. x = -1 or x = -3

6. b = -2 or b = 6

7. n = 5 or n = 4

Step-by-step explanation:

5. x² + 4x + 3 = 0

Factorize

x² + 3x + x + 3 = 0

x(x + 3) +1(x + 3) = 0

(x + 1)(x + 3) = 0

Set each of the factors equal to zero and solve for x

x + 1 = 0 or x + 3 = 0

x = -1 or x = -3

6. b² - 4b - 14 = -2

Put all terms on one side of the equation leaving zero on one side

b² - 4b - 14 + 2 = 0

b² - 4b - 12 = 0

Factorize

b² - 6b + 2b - 12 = 0

b(b - 6) +2(b - 6) = 0

(b + 2)(b - 6) = 0

Set each of the factors equal to zero and solve for b

b + 2 = 0 or b - 6 = 0

b = -2 or b = 6

7. n² = 9n - 20

Put all terms on one side of the equation leaving zero on one side

n² - 9n + 20 = 0

n² - 5n - 4n + 20 = 0

n(n - 5) -4(n - 5) = 0

(n - 5)(n - 4) = 0

Set each of the factors equal to zero and solve for b

n - 5 = 0 or n - 4 = 0

n = 5 or n = 4

Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Sort the information from the problem. What do we know? What do we need to figure out?

Answers

Answer:

203 more minutes

We know she swam 154 min in first week.

And in two weeks she swam 357 minutes.

We need to figure out x (total of minutes swam in week two)

So do 357=x+154

Subtract 154 from both sides

x=203

Hope this helps

Helppp meeeee plssss I would me the world

Answers

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:

40x +16y = ( + )
plz help me

Answers

Answer:

Write in Slope-Intercept Form

Graph

Find the x and y Intercepts

Find the Slope

Find the Slope and y-intercept

Write in y=mx+b Form

Write in Standard Form

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