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Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer:

I got -45.1 but idek if its right or not

Answer:

-45.1

Step-by-step explanation:

-6*7.1 + 2.5

-42.6 + 2.5

= -45.1

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The simple interest formula is

I=p×r×t

I interest earned?

P principle 300

R interest rate 0.05

T time 3years

So

I=300×0.05×3

I=45

interest will he have earned in 3 years is 45

Answer:

The firefighter should extend the ladder at 54° of elevation.

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]

The angle is calculated as the inverse tangent:

[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]

The firefighter should extend the ladder at 54° of elevation.

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T(t) = temp at any given time t = time. To = initial temp of the heated object ... A cake removed from the oven has a temperature of 210°F It is left to room that has a temperature of 70°F. After 30 minutes, the temperature of in is 140°F a. Use Newton's Law of Cooling to find a model for the temperatur ... 20 = 1402 -0.02317.

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

Answer:

Thanks for the points lol

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The answer is  y= 23/4

Answer:

SSS

Step-by-step explanation:

They have the same ratio

Answer:

8

Step-by-step explanation:

15 divided by 6 is 2.5

20 divided by 2.5 is 8

Answer:

Step-by-step explanation:

to answer this question, you need to set up a preportion.

15    =    6

20          x

then we would multiply 15 by x, and 20 by 6.

20(6) = 120

120= 15x

120 divided by 15 is:

x= 8

Answer: its the first 3 i think

Step-by-step explanation:

Answer:they are not congruent

Step-by-step explanation:

Answer:

if sin B = sin Y then sin Y = 12/13

Step-by-step explanation:

Triangle ABC is similar to Triangle XYZ

Let angle C be the right angle

Cosine of B is equal to 5/13

Cos B = adjacent/hypotenuse = 5/13

NOTE = below is the lowercase letters that represent the side lengths, not the angles

Adjacent (length of a) = 5 <-- given

Hypotenuse (length of c) = 13 <-- given

Opposide (length of b) = a^2 + b^2 = c^2 --> 5^2 + b^2 = 13^2 --> b = 12

sin B = sin Y

sin B = opp/hyp = 12/13

if sin B = sin Y then sin Y = 12/13

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

Answer:

Joe would be paying $700 in 5 years time.

Step-by-step explanation:

Answer:

In 4 years Joe would have to pay $1,680 in simple interest.

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time

Once I found all of those I put them into the equation (l = Prt) and solved. That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Have a great day!

Answer:

(6/11, 16/11)

Step-by-step explanation:

While it's fairly obvious that you're supposed to "solve this system of equations," it'd be clearer if you were to say so specifically.  Also, reduce ambiguity by using parenthes:  You meant either (5/3)x or 5/(3x).  Which one?  I'm assuming it's (5/3)x.

Then our system is:

(5/3)x - 2y = -2

      x  +  y =  2

Let's eliminate y through addition/subtraction.  Multiply the 2nd equation through by +2:

(5/3)x - 2y = -2

     2x  + 2y = 4

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

(11/3)x       =  2

Multiplying both sides by 3 eliminates the fractional coefficient:

11x = 6

Then x = 6/11.  Now we must solve for y:

-(6/11) + y = 2

Multiplying 2 by 11/11 yields:

-(6/11) + y = 22/11.

This simplifies to y = 16/11

Thus, the solution of this system is

(6/11, 16/11)

Answer: yes

Step-by-step explanation:

3 x 2 - x + 7 + 5 x + 2 - 2 x 2

6 - x + 7 + 5x + 2 - 4

6 + 7 + 2 - 4 - x + 5x

13 - 2 + 4x

11 + 4x

Answer:

A. -3 < x < 1

General Formulas and Concepts:

Step-by-step explanation:

"When is the function decreasing" is saying when the graph is going down.

Calculus-wise, we are finding when the slope of the tangent line is negative.

From the graph, we see it decreasing from -3 to 1. Everywhere else is increasing.

Therefore, our interval decreasing is from (-3, 1).

Answer:

x=10

Step-by-step explanation:

let me know if correct

Answer:

x=10

Step-by-step explanation:

Answer:

9x8=72      72-8=64  64x9=576

Step-by-step explanation:

Answer:

Nine times the difference of 8 and a number = 9(x-8)

Answer:)

1) 50% of 60 is 30

2) 8 out of 80 is 10%

You're welcome :)

Answer:1. 30

2. 10%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

Answer:

its a & c

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

Answer:

YZ=6.42   m<Y=12

Step-by-step explanation:

Answer:

77 degrees yz