The line passing through the point (-2,5)and (1,a) is perpendicular to the line 2x-y-5=0, find the value of a​

Answer:

7.75 or 7 3/4

Step-by-step explanation:

2 1/2 + 1 1/2 = 4

4 + 3 3/4 = 7 3/4

7 3/4 = 7.75

either works

Answer:

The measure of angle AOB is 36°

Step-by-step explanation:

- Point B is in the interior of ∠AOC

- That means angle AOB is a part of angle AOC

- Measure of angle AOC is 108°

- Measure of angle AOC is 3 times measure of angle AOB

- We need to find measure of angle AOB

* Lets solve the problem

∵ m∠ AOC = 3 m∠ AOB

∵ m∠ AOC = 108°

- Substitute m ∠AOC in the equation above

∴ 108 = 3 m∠ AOB

- Divided both sides by 3

∴ 36° = m∠ AOB

The measure of angle AOB is 36°

Answer: The measure of ∠AOB = 36°.

Step-by-step explanation:

Since we have given that

m∠AOC = 108°

and we need to find the measure of ∠AOB.

As we know that

[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]

Hence, the measure of ∠AOB = 36°.

Answer:

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x ----> the measure of angle 1

y ----> the measure of angle 2

we know that

[tex]x+y=90\°[/tex] -----> equation A

[tex]y=\frac{x}{2}+12[/tex] ----> equation B

Substitute equation B in equation A and solve for x

[tex]\frac{x}{2}+12+x=90\°[/tex]

[tex]\frac{x}{2}+x=90\°-12\°[/tex]

[tex]\frac{3x}{2}=78\°[/tex]

[tex]x=(2)78/3=52\°[/tex]

Find the measure of y

[tex]y=\frac{52}{2}+12=38\°[/tex]

therefore

The measure of angle 1 is 52° and the measure of angle 2 is 38°

The two acute angles in the triangle are 52° and 38°. This is found by setting up and solving two equations based on the problem's conditions.

This question is about solving an equation related to two acute angles in a triangle. Let's denote the smaller angle as 'x' and the larger angle as 'y'. Since the two angles are complementary, we can write an equation like 'x + y = 90'. The problem states that one angle is 12° more than half the other. We can formulate this as 'y = x/2 + 12'. To solve for 'x' and 'y', we need to substitute 'y' from the second equation into the first one to get 'x + x/2 + 12 = 90'. Multiplying through by 2 to eliminate the fraction gives '2x + x + 24 = 180', which simplifies to '3x = 156'. Solving for 'x' gives 'x = 52'. Substitute 'x' into either of the original equations gives 'y = 52/2 + 12 = 38'. Thus, the two acute angles in the triangle are 52° and 38°.

https://brainly.com/question/13214963

#SPJ3

the Answer is

4.3213647e+12

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by multiplying one by the other's denominator, so let's proceed,

[tex]\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}[/tex]

Answer:  The correct option is

(A) [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]

Step-by-step explanation:  We are given to consider a situation in which X and Y are two events such that

[tex]P(X)=\dfrac{4}{5},~P(Y)=\dfrac{1}{4},~P(X\cap Y)=\dfrac{1}{5}.[/tex]

We are to select the statement that best describes the events X and Y.

We know that

any two events A and B are said to be independent if

[tex]P(A)\times P(B)=P(A\cap B).[/tex]

We have, for events X and Y,

[tex]P(X)\times P(Y)=\dfrac{4}{5}\times\dfrac{1}{4}=\dfrac{1}{5}=P(X\cap Y)\\\\\\\Rightarrow P(X)\times P(Y)=P(X\cap Y).[/tex]

Thus, X and Y are independent because [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]

Option (A) is CORRECT.

Answer:

-5≥x≤-1

Step-by-step explanation:

comment if you would like an explanation for this.

Answer:

Same gets 32 sweets.

Step-by-step explanation:

We have by proportion  4/5 = x/40    where x is the number of sweets that Sam gets.

5x = 4*40

5x = 160

x = 160/5 = 32 sweets.

Answer:

an integer is any whole number

if it is 5 below sea level then it is -5

Step-by-step explanation:

think of sea level like 0

Answer: The integers are 75,76,77

Step-by-step explanation:

Answer: first ingeter is 75, second is 76, and third 77

Step-by-step explanation: 75 + 76 + 77 = 228

Answer:

Step-by-step explanation:

= 5.43 × 101

(scientific notation)

= 5.43e1

(scientific e notation)

= 54.3 × 100

(engineering notation)

(one)

= 54.3

(real number

Answer:20

Step-by-step explanation:      hard to explain

Answer:

16

Step-by-step explanation:

Answer:

m= -243

Step-by-step explanation:

1. inverse operations so division into multiplication: 9 x (-27)=

remember negative times positive is negative

therefore u get -243

Answer:

A trinomial is a mathematic expression which includes 3 terms. An example would be 5 + 2 - 6. Hope this helps!

The required difference between polynomial 2x^2+7x+6-(3x^2-x) is,
-x^2+8x+6.

To simplify 2x^2+7x+6-(3x^2-x)

Polynomial is defined as the sum of more than one variable in terms of their power.

Here,
[tex]=2x^2+7x+6-(3x^2-x)\\=2x^2-3x^2+7x+x+6\\=-x^2+8x+6[/tex]

Thus, the required difference between polynomial 2x^2+7x+6-(3x^2-x) is, -x^2+8x+6.

Learn more about polynomial here:
https://brainly.com/question/11536910

#SPJ2

Answer:

Symmetry

Step-by-step explanation:

Because the two sides are equally the same. Basically identical.

Answer:

Step-by-step explanation:

Answer:

-1.75   I apologize if that is not right but i am 99% sure

Step-by-step explanation:

When you add like terms on the right side you end up with 2x, then all you di is divide both sides by 2 and you end up with -1.75

Answer:

729

Step-by-step explanation:

3 x 3 x 3 x 3 x 3 x 3 = 729

so she started on 9 then she went down 8 so 9 - 8 = 1. then she went up 11 floors.so 1 + 11= 12. that's your answer. 12

Answer:

d = C/R.

Step-by-step explanation:

You Divide both sides by R:

C = Rd

C / R = Rd / R

C/R = d.

Answer:

The answer is 10.

Step-by-step explanation:

Multiply both sides of the equation by 12.

12( 3/4x - 5/6) = 12 times 2/3x.

Distribute 12 through the parenthesis.

12 times 3/4x - 12 times 5/6 = 12 times 2/3x.

Reduce the numbers with greatest common divisor 3.

12 times 3/4x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 4.

3 times 3x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 6.

3 times 3x - 2 times 5 = 4 times 2x.

Calculate the product, 4 times 2x.

3 times 3x - 2 times 5 = 8x.

Calculate the product 3 times 3x.

9x - 2 times 5 = 8x.

Multiply the numbers - 2 times 5.

9x -10 = 8x.

Move the constant to the right by adding its opposite to both sides.

9x - 10 + 10 = 8x + 10.

Eliminate the opposites, -10 + 10.

9x = 8x + 10.

Move the variable to the left by adding its opposite to both sides.

9x -8x = 8x -8x + 10.

Now eliminate the opposites

9x - 8x = 10.

Collect the like terms by subtracting their coefficients.

(9-8)x

Subtract the numbers.

1x.

When the term has a coefficient of 1, it doesn't have to be written, so it's basically x.

Then, x will equal to 10!

Answer:

Step-by-step explanation:

h(t) = 2t 2 – 11t – 10 is the answer

The value of h(t) is h(t) = 2t^2 – 11t – 10.

To add or subtract functions, just add or subtract the values at each point where it makes sense.

How to find h(t) = f(t) – g(t)?

Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:

Given : Dam A  f(t) = 5t^2 – 7t – 1

Dam B : g(t) = 3t ^2 + 4t + 9.

Then f(t) – g(t) = (5t^2-7t-1) -(3t^2+4t+9)

=> 2t^2 – 11t – 10.

Thus, h(t) = 2t^2 – 11t – 10.

Learn more about functions on : https://brainly.ph/question/5332663

#SPJ2

Answer:

D. $674.68

Step-by-step explanation:

We will use the well known equation for compound interest

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

Where

Plugging in what we know from the question:

[tex]A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68[/tex]

So the answer is D.

Hope this helps!

Answer:

A. 48.7cm

Reason:

The way to find circumference is Pi times the diameter so simply do this:

[tex]15.5 \times \pi = 48.694686[/tex]

round it and you'll get to 48.7cm

Hope it helps :)

Sorry if not :(

Answer: A. 48.7 cm

Step-by-step explanation:

The circumference of circle is given by :_

[tex]\text{Circumfernce}=\pi d[/tex] , where d= diameter of the circle .

In the given [picture , we are given that the diameter of the circle = 15.5 cm

Then, the circumference of the circle will be :-

[tex]\text{Circumfernce}=\pi (15.5)\ cm[/tex]

Substitute [tex]\pi =3.14[/tex] , we get

[tex]\text{Circumfernce}=(3.14) (15.5)\ cm[/tex]

[tex]\text{Circumfernce}=48.67\approx48.7\ cm[/tex]

Hence, the approximate circumference of the circle = 48.7 cm

Thus , the correct answer is 48.7 cm  .

Answer:

2n + 4 = 8

Step by Step explanation:

"twice a number" means to multiply 2 by a number

"plus 4" is telling you to add 4 to 2n

"is 8" means equals 8

so, that means 2n + 4 = 8

I hope i helped :)

Answer:725000

Step-by-step explanation:in thousands you have 5,390. Sound you’re rounding down from the hundredth position of 390. 390 is below 500 so go down a thousand.

Answer:

b) 3

Step-by-step explanation:

4.5+1.5x=18-3x

1) Subtract 4.5 from both sides:

1.5x=13.5-3x

2) Add 3x to both sides:

4.5x=13.5

3) Divide both sides by 4.5:

x=3