A . What is the slope in the line of the graph ?

We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

We know that tan = opposite/adjacent

tan S

opposite: 45

adjacent: 24

So,

tan S = 45/24 = 15/8

tan R

opposite: 24

adjacent: 45

So,

tan R = 24/45 = 8/15

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Explanation:

a = 9 and b = 40 are the legs of the right triangle

c is the unknown hypotenuse

Use the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 40^2 = c^2

81 + 1600 = c^2

c^2 = 1681

c = sqrt(1681)

c = 41 meters is the length of the hypotenuse

Answer:

D) 5/2

Step-by-step explanation:

(3, –1) and (5, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4 + 1)/(5 - 3)

m= 5/2

Answer:

5/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

   = (4 - -1)/(5 - 3)

   = (4+1)/(5-3)

   = 5/2

Answer:

3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90 triangle, the side across from 60° is [tex]\sqrt{3}[/tex] multiplied by the side across from 30°

the side across from 90° (the hypotenuse) is double the side across from 30°

Answer:

25

Step-by-step explanation:

Answer:

i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry

Step-by-step explanation:

if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2

hmmmm maybe the ans is D. 110

Answer:

yes it's similar triangle because it has same shape but size is not equal

The additional rats will live in this building one year from now is 3.41 x 10^5.

Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4

= 3.41 x 10^5

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D. 29.75 is Right answer...

I hope you understand....

Let the number is X

So the equation will be X-5 = 15

Answer:

{x | x ≤ -8}

Step-by-step explanation:

-7x ≥ 56

Divide each side by -7, remembering to flip the inequality since we are dividing by a negative

-7x/-7 ≤ 56/-7

x ≤ -8

Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

Answer:

12

Step-by-step explanation:

Coefficient is the number before the variable

Answer:

The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.

Answer:

3520 Yards

Step-by-step explanation:

1 Mile = 1760 Yards

Answer: 3520 yards

Step-by-step explanation:

1 mile = 5280 x 2 = 10,560

2miles = 10,560

in yards = 3520 yards

Answer:

5cm

Step-by-step explanation:

c^2=a^2+b^2

b^2=square root c^2-b^2

=square root 13^2-12^2= 5

Answer:

108 cm^2

Step-by-step explanation:

SA = PH + 2 * 1/2bh

SA = (3 + 4 + 5)(8) + 2 * (1/2) * 3 * 4

SA = 96 + 12

SA = 108

Answer: 108 cm^2

Answer:

B. 156

Step-by-step explanation:

Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.

We have,

To determine Brendan's interest rate and monthly payment for a $150,000 mortgage, we need to find which range his FICO score falls in.

From the table, we see that his score of 544 falls in the range of 500-559, which corresponds to an interest rate of 9.29% and a monthly payment of $1238.

Next, we can use the mortgage payment of $10,500 per year to determine the maximum monthly payment Brendan can afford.

i.e

$10,500 per year / 12 months

= $875 per month

Since this amount is less than the monthly payment for the 500-559 FICO score range, Brendan would need to improve his credit score to qualify for a $150,000 mortgage.

To determine how many points he needs to improve, we can look at the next lowest interest rate and payment in the table, which corresponds to a FICO score range of 560-619.

The monthly payment for this range is $1157, which is below Brendan's maximum payment of $875.

So, he needs to improve his credit score to fall into this range.

To determine how many points he needs to improve,

we can subtract the minimum FICO score in the 560-619 range (560) from his current FICO score (544), and then add that difference to the maximum FICO score in the 560-619 range (619).

i.e

(619 - 560) + (560 - 544)

= 59 + 16

= 75

Therefore,

Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.

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Answer:

Step-by-step explanation:

principal=rs 9450

time=5 years

rate=6%

Interest=PTR/100

=9450*5*6/100

=283500/100

=rs 2835

Total amount=Interest+principal

=rs 2835+rs 9450

=rs12285

Answer:  $19,864.60

Step-by-step explanation:

The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.

Price at 6th year = Original price * ( 1 + rate) ^ number of years

12,045 = Og * ( 1 - 8%) ⁶

12,045 = Og * 0.606355001344

Og = 12,045 / 0.606355001344

Og = $19,864.60

Rate is subtracted because price was reducing.

Answer:

Yes, they are equal

Step-by-step explanation:

To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.

In this case, 10*4 = 40

20*2 = 40

5) m<EBF= 474

6)m<ABC= 70

5) 20x-10= x+390

5) 20x-10 3x+15+60=474

20x-10=390  

3x+15= 24

plug in the x into the equation: (x+20)---> (20x20)=400

400-10= 390

6) 3x+1+2x+14= 28

3x= 9

2x=4

plug in the x into the equation: (3x+1)----> 2x+14= 28

7 is a bit confusing...

8 G and F is confusing me sorry...

this was so fu-cking hard sorry it took long...

Answer:

D 3/4

Step-by-step explanation:

imagine a circle with its center in point A and going through point C.

the radius of that circle is 50 (AC).

remember, tan of an angle is sin/cos of that angle.

now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.

now you see that 30 = sin(A)×radius = sin(A)×50

and 40 = cos(A)×radius = cos(A)×50

so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40

= 3/4

Answer:

3) y = -2x + 16

Step-by-step explanation:

__________

Answer:

49 ÷ 7 = 7

Step-by-step explanation:

49 ÷ y = 7

7 = 49 ÷ y

7 · y = 49 ÷ y · y

7y = 49

7y ÷ 7 = 49 ÷ 7

y = 7

Answer:

Possible

Step-by-step explanation:

The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because

3+7 = 10

Two short sides = The longest side

Answer:

possible

Step-by-step explanation:

3+7= 10