Please help me with this problem​

Answer:

b = 5.7

A = 51.1°

B = 38.9°

Step-by-step explanation:

a = 7

c = 9

✔️Find b using Pythagorean theorem:

b = √(9² - 7²) ≈ 5.7

✔️Find A using trigonometric function:

Reference angle = A

Opposite = a = 7

Hypotenuse = c = 9

Apply SOH:

[tex] sin(A) = \frac{Opp}{Hyp} [/tex]

[tex] sin(A) = \frac{7}{9} [/tex]

[tex] A = sin^{-1}(\frac{7}{9}) [/tex]

A = 51.0575587° = 51.1°

✔️B = 180 - (90 + 51.1) (sum of triangles)

B = 38.9°

Answer:

answer is b...............

Answer:

Step-by-step explanation:

since -1≤sin2x≤1 no x values would satisfy the equation

9514 1404 393

Answer:

  22 cm

Step-by-step explanation:

The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.

  P = a+b+c = (2 +6 +7) cm = 15 cm

  LA = Ph

  330 cm^2 = (15 cm)h . . . fill in the known values

  h = (330 cm^2)/(15 cm) = 22 cm

The height of the prism is 22 cm.

Answer:

50,460.87

Step-by-step explanation:

To do this we first need to figure out how much he deposited without any interest to do this we do 193.67*12 to find out how much he deposited per year, then we multiply this number by 30 to find out how much he deposited in total. After finding this we subtract this number from the total balance to calculate the interest

Answer:

-3

Step-by-step explanation:

Answer:

Hey, dude what grade are you in and I use ignitia

Step-by-step explanation:

question 1=30

question 3 =1/20

Step-by-step explanation:

question 1

question 2 am not sure

question 3

The simplification of the expressions 300 / (2 x 5) is 30 and (6 - 2.5)(8 + 4) is 42. And the reciprocal of 20 will be 1/20.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

The expression is given below.

1.  The expression 300 / (2 x 5) can be simplified as

300 / (2 x 5) = 30

2.  The expression (6 - 2.5)(8 + 4) can be simplified as

(6 - 2.5)(8 + 4) = 42

3.  The reciprocal of 20 will be  

→ 1 / 20

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Yes, it's true

Step-by-step explanation:

A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.

Answer:

No this is not a function since 2 of the domain values have the same range.

Step-by-step explanation:

Well in simpler terms, if one or more range values (right side) have more then 1 arrow pointing to them, its automatically not a function. If each one has one arrow pointing towards them, its a function.

Answer:

The total charge for these tickets when paying by credit card is £ 90.64.

Step-by-step explanation:

Since Billy wants to buy 4 adult tickets at £ 15 each and 2 child tickets at £ 10 each for a show, and a 10% booking fee is added to the ticket price, and 3% is then added for paying by credit card, for work out the total charge for these tickets when paying by credit card the following calculation must be performed:

((4 x 15 + 2 x 10) x 1.10) x 1.03 = X

((60 + 20) x 1.10) x 1.03 = X

(80 x 1.10) x 1.03 = X

88 x 1.03 = X

90.64 = X

Thus, the total charge for these tickets when paying by credit card is £ 90.64.

Answer:

13000

Step-by-step explanation:

1 = 2,000 pounds

0.5 tons = 1000 pounds

Answer: 13,000 lb

Step-by-step explanation:

6 x 2,000 = 12,000

1/2 * 2,000 = 1,000

12,000 + 1,000 = 13,000

[tex] \sf{Formulas \: we \: use}[/tex]

2×28+30

2×58

116

Answer:

Range = 19

Step-by-step explanation:

Range = maximum value - minimum value

Maximum value is indicated by the whisker to our far right on a box plot = 25

Minimum value is at the whisker to our far left = 6

Range = 25 - 6 = 19

Answer: 0+13, 13

Step-by-step explanation:0 minus negative 13 = 0 plus 13 = 13

Answer: 0 + 13

Step-by-step explanation:

This is what the problem means.

Whenever you try to subtract a negative number, it's like adding a positive number. So instead of 0-(-13), it would be 0 + 13.

There are no equal signs because it's an expression.

I think the answer to m is 8

Answer:

x= 2, x=14

Step-by-step explanation:

#1

Take b=5,c=3

Lets verify

[tex]\\ \sf\longmapsto x=2[/tex]

[tex]\\ \sf\longmapsto |x-b|=c[/tex]

[tex]\\ \sf\longmapsto |2-5|=3[/tex]

[tex]\\ \sf\longmapsto |-3|=3[/tex]

Verified

#2

Take b=2,c=12

[tex]\\ \sf\longmapsto x=14[/tex]

[tex]\\ \sf\longmapsto |14-2|=12[/tex]

[tex]\\ \sf\longmapsto |12|=12[/tex]

Hence verified

Answer:

1/9

Step-by-step explanation:

We know that the variable multiplied is just the reciprical which is 1/9

By the way, can you follow me on Brainly?

Thanks!

Answer:

30 days

Step-by-step explanation:

The common multiples of 15 and 6 are 30, 60, 90 etc and because it increases by 30 each time we can find out that he will play both football and basketball together in thirty days!

Answer: 30 days i think

Step-by-step explanation:

hope this helps you bud

Answer:

[tex]4g^{6} + 16g^{3}+16[/tex]

Step-by-step explanation:

[tex]2(2g^{3}+4)*g^{3}+4(2g^{3}+4)[/tex]

Answer:

(2g³+4)²

using formula of (a+b)²=a²+2ab+b²

(2g³)²+2×2g³×4+4²

2g^5+16g³+16 Is your answer

Answer:

(23, -1)

Step-by-step explanation:

I think you meant 2p + 39q = 7 , & 3p + 59q = 10

You would do C first, because that will get rid of the P's.

---> -6p - 117q = -21

---> 6P + 118q = 20

Now we get q=-1

If we plug it into the first equation, we get 2p + 39(-1) = 7

Therefpre, 2p - 39 = 7. This means that 2p = 46.

Therefore, p = 23

(23, -1)

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

Answer:

Its 1

Step-by-step explanation:

just do the steps

Answer:

1. The facts are;

[tex]\overline x _1[/tex] = 95 days

s₁ = 32 days

n₁ = 18 SUV's

[tex]\overline x _2[/tex] = 48 days

n₂ = 38 small cars

s₂  = 24 days

The confidence level = 95%

The confidence interval is (29.55,  64.45)

Step-by-step explanation:

The facts of the problem are;

The number of SUV's he sold, n₁ = 18 SUV's

The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days

The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days

The number of small cars he sold, n₂ = 38 small cars

The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days

The standard deviation of the time it took to sell the 38 small cars, s₂  = 24 days

The 95% confidence interval is given as follows;

Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]

[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]

We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741

∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45