In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

Answer:

Slope = -3/5

Step-by-step explanation:

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

m = -2 - 1 / 1 - -4

m = -3 / 1 + 4

m = -3 / 5

You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)

Answer:

-3/5

Step-by-step explanation:

The line is y=-3/5x-1.4

Answer:

D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.

Step-by-step explanation:

Meg = 0, 2, 4, 6, 8

Theo = 0, 4, 8, 12, 16

Second number of Theo is 4 which is double of 2 (Meg second number)

This applies to the third, fourth and fifth number of Theo

Therefore,

Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Answer:

2/5 or 40%

Step-by-step explanation:

.40 is 40 hundredths or 40/100

40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5

Percentages are fractions out of 100 so 40/100 would be 40%.

Answer:

circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter

Step-by-step explanation:

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

I hope the images help!!

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

Learn more about Exponential growth rate, click;

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#SPJ4

Answer:

Option (4)

Step-by-step explanation:

Input values are always represented by the x values and output values of a function is represented by f(x).

From the table given,

Values under x column are the input values and values under f(x) or gx) column are the output values.

From both the tables, common output values for the same input value (x = 1) are,

f(1) = 3

g(1) = 3

Therefore, Option (4) is the answer.

The input value that produces the same output value for both functions is: D. x = 1

A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.

In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).

Thus, [tex]f(1) = g(1) = 3[/tex]

Therefore, the input value that produces the same output value for both functions is: D. x = 1

Learn more about a function on:

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The unbiased estimator

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

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Answer:

yes

Step-by-step explanation:

Answer:

one solution

x = 12

Step-by-step explanation:

3 (x-1) = 2x + 9

3x - 3 = 2x + 9

subtract 2x from each side of the equation:

x - 3 = 9

add 3 to each side:

x = 12

Step-by-step explanation:

3x-3=2x+9

3x-2x=9+3

x=12

only one solution

Answer:

x(x+2)(x+3)

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

Answer:

3 both sides

Step-by-step explanation:

Answer:

s=-1

Step-by-step explanation:

So the first digit could be 0-9.

second is the same 0-9

And the 3rd 0-9 and lastly the 4th 0-9

There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.

So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.

So their are 10000 possible codes.

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

Answer:

6

Step-by-step explanation:

because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

Answer:

The speed of the plane is [tex]v=1.2\: m/s[/tex]

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]

[tex]v=1.2\: m/s[/tex]

I hope it helps you!

Answer:

144?

Step-by-step explanation:

4.5 i think im really not sure check with someone else before answering

Answer:

C.

Step-by-step explanation:

The answer is C

Answer:

X=25

angle A=148

Step-by-step explanation:

since they are alternating angles

A=B

6x-2=4X+48

solve for X

6x-4x=48+2

2x=50

X=25

angle A= 148

Answer:

148

Step-by-step explanation:

I got it right on khan

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

Answer:

slope is negative

m=-1

Step-by-step explanation:

the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.

yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)

that means that the slope of this line must be negative

We can calculate the slope (m) with this formula:

(y2-y1)/(x2-x1)

we can pick two points- for example, (1,3) and (2,2)

label the points:

x1=1

y1=3

x2=2

y2=2

now substitute into the equation

m=(2-3)/(2-1)

m=-1/1

m=-1

the slope is -1

Hope this helps! :)

Answer:

The answer is D.

Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!

Answer:

d) a+b

Step-by-step explanation:

For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).

(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)

So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer