m∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60

MBAC = ?A.) 15 B.) 30 C.) 45 D.) 60

Answers

Answer 1

Answer:

B.) 30°

Step-by-step explanation:

We know from the property of 30°x60°x90° right triangle:

The hypotenuse is twice the leg which is opposite to 30 angle.

We see AC = 2*BC, therefore:

m∠BAC = 30°

Correct choice is B

Answer 2

The ratio of angles is directly proportional to the ratio of sides

<B=90°

The ratio of sides here is 1:1/2:1

Now

m<BAC be x

[tex]\\ \sf\longmapsto 2x+x=90°[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]


Related Questions

Leah took her friends for a ride in her hot air balloon. The function fff models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.
Plot the point on the graph of fff that corresponds to when the hot air balloon landed.

Answers

Answer: point (60,0)

Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground

The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.

What is function?

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

r(t) = 210 - 15t

Calculate the height after 10 minutes as shown below,

The height = 210 - 15 × 10

The height = 210 - 150

The height = 60

At time 0 the height will be,

The height = 210 - 15 × 0

The height = 210 - 0

The height = 210 meters,

Thus, the coordinates will be (210, 0) and (60, 10)

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Need to know this, please help

Also no links or wrong answers

Answers

Add up all the scores and divide it by 8

how do you solve this problem lol​

Answers

You just do 852 divided by 4 which is 213

Rachel invests $25,000 at age 25. She hopes the investment will be worth $125,000 when she turns 50. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.

Answers

The rate of growth will she need to achieve her goal is 2.8%

The formula for finding the compound amount is expressed as:

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount invested = $25000

t is the time in years = 25 years

A is the amount = $125000

r is the rate in %

Substitute the given parameters into the formula to have:

[tex]125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\[/tex]

Hence the rate of growth will she need to achieve her goal is 2.8%

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Please help me please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The translation can be can be expressed as : -

A translation

up 8 units and left 7 units

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Find the area of the square below when it is increased by a scale factor of 3

Answers

Answer:

To find the area of a square with the scale factor of 3, you multiply the side lengths by 3, so (3*L)*(3*W)= Area of your square.

Step-by-step explanation: I hope that this helps, ask questions in the comments below.(if you have any).

The area of the imagined square will be 90 units² by increased with a scale factor of 3.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

As per the imagined square with dimensions of 10 units.

Applied the scale factor 3 in the length of the square(since it has only one dimension).

10 x 3 = 30 units.

Thus, each side of the square will be 30 units in length.

Hence "By adding a scale factor of 3, the envisioned square's area will expand to 90 units²".

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Please help me ASAP please I need help

Answers

Answer:

147°

Step-by-step explanation:

Solving for x

To make a straight line the angles have to have a sum of 190. So 180°-33° would equal 147°

Answer:

x = 147°

Step-by-step explanation:

A line is 180°

180 - 33 = 147

HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35

Answers

Answer:

Step-by-step explanation:

just do 35-17

Answer:

Step-by-step explanation:

first find b.

To find b, subtract 17 from 35.

35 - 17 = b

35 - 17 = 18

next, add 17 and 18 to see if it equals 35.

17 + 18 = 35

so, b = 18.

describe how you know this is a proportional relanshoships

Answers

Answer:

don't see the relationship, but if it's a proportional relationship it should have the same result every time you divide the x by the y or vice versa.

how can you tell if data is continuous or discrete

Answers

For me, it helps to ask this question: Does it make sense to apply the midpoint? If it doesn't make sense, then the data is discrete. Otherwise, the data is continuous.

Here's an example:

Let's say we are counting the number of people buying a movie ticket. So the numbers we care about are positive whole numbers 1,2,3,... It doesn't make sense to apply the midpoint to the values 1 and 2 to get 1.5; you can't sell half a ticket. Therefore the variable "number of movie tickets sold" is a discrete variable. There are gaps in the data.

On the other hand, if we were measuring the weight of various coins, then this variable is continuous. It's possible to have any positive number decimal number weight (eg: 2.275 grams perhaps). It makes sense to apply the midpoint to any two weights and get some other weight. We don't have to worry about sticking to whole numbers only. Unlike before, there aren't any gaps and we consider this number set to be dense.

One way you could remember the two is to keep this in mind: If you count it, then it's likely discrete. If you can measure it, then it's continuous.

There are probably exceptions to that rule, but for the most part it holds up I think.

Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with

Answers

Answer:

24-8=t

Step-by-step explanation:

I cant really explain much...

but, Hope it helps

plz mark brainiest if it does

Suppose that Y and Z are points on the number line.
If YZ=8 and Z lies at 5, where could Y be located?
If there is more than one location, separate them with commas.
Location(s) of Y :

Answers

9514 1404 393

Answer:

  -3, 13

Step-by-step explanation:

8 units to the left of 5 on the number line is 5-8 = -3.

8 units to the right of 5 on the number line is 5+8 = 13.

The possible locations of Y are -3 or 13.

how many prime numbers are multiples of 8​

Answers

There are no prime numbers are multiples of 8​. All the multiples of 8 are divided by 2.

What is a prime number?

Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.

All the terms that come in the table of 8 are multiples of 8.

8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8​.

Hence there is no prime numbers multiples of 8​.

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What equation represents this sentence?

7 less than a number is 16.


7=16−n

7=n−16

7−n=16

n−7=16 100 ponits

Answers

Answer:

n - 7 = 16

Step-by-step explanation:

as it says "7 less than a number". If it was "a number less than 7" then it would be the 3rd one.

Answer: n - 7 = 16

Step-by-step explanation: i did quiz

If P(t) is the size of a population at time t, which of the following differential equations describes linear growth in the size of the population?

dPdt=200
Answer A: d cap p over d t is equal to 200
A

dPdt=200t
Answer B: d cap p over d t is equal to 200 t
B

dPdt=100t2
Answer C: d cap p over d t is equal to 100 t squared
C

dPdt=200P
Answer D: d cap p over d t is equal to 200 cap p
D

dPdt=100P2

Answers

Answer:

A. dP/dt = 200

The degree of the variable must be one for linear growth. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

If P(t) is the size of a population at time t.

The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as

[tex]\rm \dfrac{dP}{dt} = 200t[/tex]

In this equation, the degree of the time (t) is one.

Thus, the correct option is B.

More about the differentiation link is given below.

https://brainly.com/question/24062595

Write an algebraic expression for the verbal expression: "7 times the sum of a squared and b minus 4 times the sum of a squared and b".​

Answers

7x(b2-4xb2) the b2 meaning b squared

The question is in the picture.

Answers

Answer:

[tex]x^{3r-18}[/tex]

Answer:

[tex]x^{3r-18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]

[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]

[tex]=x^{3r-18}[/tex]

Hope this helps

Simplify the expression
( 3n • 2n^3)^2

Answers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

What is the equation of this graphed line?



Enter your answer in slope-intercept form

Answers

Answer:

Step-by-step explanation:

slope m = Δy/Δx = (6 - (-6)) / (2 - (-4)) = 12/6 = 2

b is the y intercept when x = 0.

b = 2

y = 2x + 2

A club with 26 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Answers

Answer:

9,687,600

Step-by-step explanation:

27P5

= 27!/(27-5)!

= 27!/22!

= 27*26*25*24*23

= 9,687,600

In a raffle 1000 tickets are being sold, at $1 each. The first prize is $100, and there are 3 second prizes of $50 each. How much does the price of the ticket exceed the expected value

Answers

Answer:

The price of of the ticket exceeds its value by $ .75

Guided Practice

The graph of y = 2(x + 1)2 − 4 is a translation 1 unit horizontally and 4 units vertically of the function y = 2x2. Graph this function in your notebook.


Type your answer and then click or tap Done.

The vertex of the parabola is (Fill in the blank text field 1
, Fill in the blank text field 2
( , )

Answers

Answer:

Step-by-step explanation:

hmm

The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The graph of the two functions can be made as shown below. Therefore, the two functions are,

y=2x² → Drawn by the red line

y = 2(x + 1)² − 4 → Drawn by the blue line

Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.

Hence, The vertex of the parabola after transformation is (-1,-4).

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can somebody help me plssssss

Answers

Answer:

They are equal, so =

Step-by-step explanation:

We know that one-half is .50.  3/2 is an improper fraction and when we solve to a decimal, we get 1.5.  

calculate the distance of mars to the sun

Answers

Mars is 1.5 astronomical units away from the Sun, or 143 000 000 miles

Answer:

[tex]r=2.28*10^8km[/tex]

Step-by-step explanation:

This assumes you were given the mass of mars to be [tex]6.39*10^2^3kg[/tex] the mass of the sun to be [tex]1.99*10^3^0kg[/tex] and the gravitational force between the two to be [tex]3.72*10^3^5N[/tex].

I used the formula: (G is the gravitational constant [tex]6.67*10^-^1^1[/tex])

[tex]F=G\frac{m_1m_2}{r}[/tex]

and solved for r

[tex]3.72*10^3^5=6.67*10^-^1^1\frac{6.39*10^2^3(1.99*10^3^0)}{r}[/tex]

[tex]r=\frac{8.48*10^4^3}{3.72*10^3^5}[/tex]

[tex]r=2.28*10^8km[/tex]

Estimate 5 x 212 and get the answer

Answers

5x212= 1,060 . Estimate would probably be like 1050?

Answer: 1,055 or 1,059

Step-by-step explanation: (5)(212)                                                                       1060                                                                                                                          If I were to estimate (5)(212) without solving the answer would be in the 1,050+ range. But if I solve it without estimating the answer is 1,060.

can you answer these fractions
[tex] \frac{2}{5} + \frac{3}{2} [/tex]

Answers

1 9/10 is the answer to this fraction

Need help please need help

Answers

Answer:

b.y=4

c. x=6

These are the answers hope this helps

Answer:

sorry cant help

Step-by-step explanation:

Use the following function rule to find f(3) f(x)=3(4)^x+2

Answers

Answer:

3f×16=36

Step-by-step explanation:

f(x)=2x×fx

(substitute

=3f×16

=36f

Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?

For team A and team B

I WILL MARK YOU A BRAINLIEST​

Answers

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

Due Tomorrow: Answer question 20 using steps

Answers

Answer:

angle CAB = 37

segment AC = 4.0

segment BC = 3.0

Step-by-step explanation:

angle CAB is complementary with angle ABC. 90-53=37. This is a right triangle, meaning we can use SohCohToa to find side lengths. AC = 5 * sin(53) = 4.0, and BC = 5 * cos(53) = 3.0.

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