In ΔGHI, h = 9.6 cm, g = 9.3 cm and ∠G=109°. Find all possible values of ∠H, to the nearest 10th of a degree.

Answers

Answer 1

The possible values of ∠H, to the nearest 10th of a degree 77.4 degrees

To get the possible values of m<H, we will use the sine rule as shown:

g/sin∠G = h/∠H

Given the following parameters:

h = 9.6 cm, g = 9.3 cm and:∠G=109°

Substitute the given parameters into the formula to have:

9.3/sin109 = 9.6/sin∠H

9.3sin∠H = 9.6sin109

sin∠H = 0.98

∠H =

Hence the possible values of ∠H, to the nearest 10th of a degree 77.4 degrees

Learn more on sine rule here: https://brainly.com/question/3240813


Related Questions

Write the recurring decimal 0.48 a
as a fraction.
Show all your working.

Answers

Answer:

[tex] \frac{16}{33} [/tex]

Step-by-step explanation:

[tex]x = 0.48... \\ 100 \times x = 0.48 \times 100 \\ 100x - x = 48.48.. - 0.48 \\ 99x = 48 \\ \frac{99x}{99} = \frac{48}{99} \\ x = \frac{16}{33} [/tex]

To rent a car Cesar must pay $15 a day plus 50 for every mile he drives. in dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?​

Answers

Answer:

Step-by-step explanation:

1. 50x50 (because 1 mile= $50)=2500

2. 15x3 (because you need to pay 15 dollars a day)= 45

3. 2500+45= $2545

( plus tax that would be $2,875.85 IF YOUR IN CANADA )

A submarine sits at –300 meters in relation to sea level. Then it descends 115 meters. What is its new position in relation to sea level?

Answers

Answer:

-415 meters

Step-by-step explanation:

As it was already -300 and it decended even more

so:

-300-`115=-415

Answer:

The answer is A, -415 meters.

Step-by-step explanation:

All right, so the key words we need here are -300, descends, and 115.

Descends means go lower, or in this case, subtract.

We are already at -300 and we descend 115, so we are going to subtract.

Subtracting a number is the same as adding the negative of that number.

-300 + -115 = -415

The answer is A, -415 meters.

Hope this helps, please mark brainliest if possible. :)

I really need help or I’m gonna fail the semester

Answers

Rational Number, Real Number

A 35 foot ladder is set against the side of the house so it reaches up 21 feet if the ladder at its base and pulls it 4 feet farther from the house how far up the side of the house will the ladder reach now

Answers

Answer:

=14.2

Step-by-step explanation:

a^2 + b^2 = c^2

21 ^2 + x ^2 = 35^2

= 28

28 + 4 = 32

The side with 21 then becomes the new x

x/a =

=14.2

The height of the house that can be ladder reached now will be 14.18 feet.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A 35-foot ladder is set against the side of the house so it reaches up 21 feet.

Then the base length will be

  35² = 21² + b²

1225 = 441 + b²

   b² = 784

     b = 28 feet

If the ladder is at its base and pulls it 4 feet farther from the house.

Then the height of the house that can be ladder reach now will be

  35² = 32² + h²

1225 = 1024+ h²

   h² = 201

     h = 14.18 feet

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(4)).

Answers

Answer:

9

Step-by-step explanation:

f(x) = x − 7 and g(x) = x^2

g(f(4))

First find f(4)

f(4) = 4-7 = -3

Then put this result in g(x)

g(-3) = (-3) ^2 = 9

g(f(4) = 9

g(f(4)) =9.

Answer:

Solution given;

(x) = x − 7 and g(x) = x2 .

now

g(f(4))=g(4-7)=g(-3)=(-3)²=9

Please please help need today

Answers

Answer:

you need to zoom in i cant see plz :)

Step-by-step explanation:

I got b
I did 200+5% which equal to 210
Hope this is correct sorry if not

The mean salary offered to students who are graduating from Coastal State University this year is , with a standard deviation of . A random sample of Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these students is or less

Answers

Answer:

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Z-score with the Central Limit Theorem:

Z-is given by:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

What is the probability that the mean salary offer for these students is X or less?

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?

Answers

Answer:

The cosine of ∠V is of 0.74.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.

XW = 65, WV = 97, and VX = 72.

[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.

What is the value of the cosine of ∠V to the nearest hundredth?

The hypotenuse is the largest side, that is, WV = 97.

The adjacent side of angle V is VX = 72. So

[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]

The cosine of ∠V is of 0.74.

I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!

Answers

9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

__

1) y = -15x(x -5)

  x = 5 makes the second factor zero

The golf ball is in the air 5 seconds.

__

2) y = -12x(x -4.5)

  x = 4.5 makes the second factor zero

The football is in the air for 4.5 seconds.

_____

Additional comment

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

  ax+b = 0   ⇒   ax = -b   ⇒   x = -b/a

That is, once you have the factored form, you can write the solutions "by inspection."

hey besties, I need help

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{2}{3} (x + 2) - \frac{1}{3} (x - 2)[/tex]

First, multiply [tex]\frac{2}{3}[/tex] to [tex](x + 2)[/tex] , then [tex]\frac{1}{3}[/tex] to [tex](x - 2)[/tex], after you have done that, you would get an equation looking like this[tex]\\[/tex]:

[tex]\frac{2}{3} x + \frac{4}{3} - \frac{1}{3}x - \frac{2}{3}[/tex]

Next, add and/or subtract the fractions with the variables together and the ones without together, and that is how you get to your final answer

[tex]\frac{1}{3}x + \frac{2}{3}[/tex]

I need the answer plzzzzzz

Answers

Answer:

D

Step-by-step explanation:

compare the numbers

Savannah hike 1 mile every day after Hiking on Monday she has height 102 miles after hiking on Friday how many miles will she have hike

Answers

Answer:

106

Step-by-step explanation:    ts 6 9 21  30

After Monday

    102 + Tuesday + Wednesday + Thursday + Friday         After

    102 +       1        +        1             +        1        +      1       =       106

The point (3,−4) lies on the graph of y=(x−5)2+k where k is some constant. Which other point must also lie on the same graph?

Answers

Answer:

The other point lies on the graph is (0, - 8).

Step-by-step explanation:

Point (3, - 4) lies on the graph [tex]y = (x -5)^2 + K[/tex]

So, put x = 3 and y = - 4 in the equation.

[tex]- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8[/tex]

So, the equation of graph is

[tex]y = (x - 5)^2 -8[/tex]

Let x = 5 lies on the graph so

[tex]y = (5 -5)^2 -8 \\\\y = -8[/tex]

So, the other point lies on the graph is (0, - 8).

A bug starts at position (-3, -3) on the floor. It crawls along the vector (2, 6). What is the the final position of the bug on the floor? How far and in what direction did it crawl to get there?

Answers

Step-by-step explanation:

the final position = (-3+2 , -3+6) => (-1, 3)

the distance from the origin point =

√(2²+6²) = √(4+36) = √40 units or 6.3 units

the direction = tan~¹ 6/2 = 71.6°

Which figure has at least one line of symmetry?

Answers

Answer:

the second green shape because the first one is a rectangle which has 2 equal sides

Answer:

the third orange one

Step-by-step explanation:

i have the same question and these 2 show up as answers on both so it has to be this one

Write the slope-intercept form of the equation for the line.

Answers

Answer:

its 4/2 or simplified to 2/1

Step-by-step explanation:

mark me brainliest pls

which choices is equivalent to the product below ? 2.3.6

Answers

Answer:

What product

Step-by-step explanation:

A salesperson at a jewelry store earns 4​% commission each week. Last​ week, Heidi sold $680 worth of jewelry. How much did make in​ commission? How much did the jewelry store make from ​sales?

Answers

Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

Consider a test of H 0: μ = 85 performed with the computer. SPSS reports a two-tailed p-value of 0.2714. Make the appropriate conclusion for the given situation: H a: μ > 85, z = 1.10, α = 0.10

Answers

Answer:

p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.

Step-by-step explanation:

Decision:

If the p-value is greater than the significance level, we accept the null hypothesis. Otherwise, we reject the null hypothesis.

In this question:

Null hypothesis:

μ = 85

Alternate hypothesis:

a: μ > 85

SPSS reports a two-tailed p-value of 0.2714.

We are testing if the mean is greater than a value, which is a one-tailed test, so the p-value is of 0.2714/2 = 0.1357

Decision:

p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.

QUESTION 4 If 1 foot = 0.37 metres and 1 mile = 5,180 feet, find the number of kilometres in 15 miles. show how to work out the answer.​

Answers

Answer:

28.749 km

Step-by-step explanation:

in reality

1 foot = 0.3048 meters not 0.37

1 mile = 5,280 feet not 5,180

15 miles  = 24.14016 kilometers

---------------------------

Using the numbers stated in the problem

0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km

Josh buys candy that costs $8 per pound. He will spend at most $88 on candy. What are the possible numbers of pounds he will buy?

Answers

Answer:

11 pounds

Step-by-step explanation:

You would do 88 divided by 8 to get 11

Write the percent of the figure that is shaded.

PLEASE HELP ILL GIVE EXTRA POINTS!!!

Answers

Answer:

so the total is 20 and its at ten so

10/20=5/10=1/2

so 50 percent

plzzz brainlest

50%

Half of the number line is shaded, which means that 50% of the number line is shaded.

Have a nice day

Write an equation to match this graph
WILL GIVE 50 POINTS!! NO ​

Answers

Answer:

7 and 5 down

Step-by-step explanation:

Answer:

5/7 i dont know if this is right or not but i hop u get it

Step-by-step explanation:

What is the value of the upper quartile?

Answers

i believe the answer is 6

The total cost
of an $82 meal
with a 20% tip

Answers

Answer:

$16.40

Step-by-step explanation:

Answer:

98.40

Step-by-step explanation:

First find the tip

82* 20%

82* .20

16.40

Add the tip to the cost of the mean

82+16.40

98.40

⚠️ I NEED HELP ASAP!

What is the zero of the linear function graphed below?

Answers

Answer:

(1,0)

Step-by-step explanation:

The zero of the function is where it crosses the x axis ( where y=0)

x=1 where y=0

(1,0)

Please help me with my math answer

Answers

Step-by-step explanation:

20 ml is your answer

i hope it helps u

Answer:

If I'm reading it correctly the answer should be 20.

To get that answer all you do is 4x5.

Cual es el resultado?

Answers

Es la b 1DM 5c 6d 0U

4.350+2.710+3.500= 10.560
Nacieron 10.560 productos en la huerta.

Need help ASAP! Giving Brainliest!

Answers

ok thats cool ig what do you need help with

Answer:

A

Step-by-step explanation:

Have a nice day :)

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