(100 POINTS) Please help I'll give brainliest!
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Answer:

a=5

b=3

Step-by-step explanation:

a+b=8

a-b=2

2a=10

a=5

b=3

Answer:

5 and 3

Step-by-step explanation:

Sum is addition

Difference is subtraction

5 + 3 = 8 which means the sum of these 2 numbers is 8

5 - 3 = 2 which means the difference of these 2 numbers is 2

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

Additional comment

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

Answer:60

Step-by-step explanation:

18 x 100= 1800. 1800/30= 60. 60 x %30= 18

The number of cookies in the bag is A = 60

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Now , 30 % of the cookies in the bag = 18 cookies

On simplifying the equation , we get

( 30 / 100 )A = 18

Multiply by 100 on both sides , we get

30A = 1800

Divide by 30 on both sides , we get

A = 1800/30

A = 60 cookies

Hence , the number of cookies is 60

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Answer:

The slop is +9, so add 9 each time

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

[tex] \tan( \alpha ) = \frac{34}{122} [/tex]

[tex] \alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57[/tex]

Answer:  16

Step-by-step explanation:

got it right on edge :)

The population of seniors who plan to attend community college is; 115.

According to the task content;

On this note, the number of seniors who want to attend community college among the 320 seniors is;

On this note, it follows that the number of seniors who want to attend community college is; 115 seniors.

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Answer:

The number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.

Absolute value of any number is simply the distance of that number from point zero (0) on a number line.

Thus,

-6 is 6 units from 0.

6 is also 6 units away from 0.

-5 is 5 units from 0.

5 is also 5 units from 0.

The absolute value of -5 is 5.

The absolute value of -6 is 6.

Therefore, the number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.

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Step-by-step explanation:

Answer:

(-8, 2)

Step-by-step explanation:

1. Set up the equations.

y = 1/2x + 6

y = -3/4x - 4

2. Set the equations to equal each other.

1/2x + 6 = -3/4x - 4

3. Move the variables to one side and the numbers to the opposite side.

6 + 4 = -3/4x - 1/2x

10 = -3/4x - 2/4x

10 = -5/4x

4. Divide 10 by -5/4.

10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)

10 * -4/5 = -40/5 = -8

x = -8

5. Plug in the x-value into one of the equations.

y = 1/2x + 6

y = 1/2(-8) + 6

y = -4 + 6

y = 2

OR

y = -3/4x - 4

y = -3/4(-8) - 4

y = 6 - 4

y = 2

Find FM using Pythagoras Theorem:

We're not after c^2 using pythag - rearrange it:

It don't matter were the B or A is in the equation - it'll give u the missing length you're after.

c^2 - b^2 = a^2

8^2 - 5^2 = a^2

Square root both sides to get A on its own

A= root 8^2 - 5^2

= root 39

= 6.24499....

Or

6.24cm, but FM is root 39 I'll use throughout, even if I use 6.24 in calculations, it's to make things clearer for you.

Create diagonal line from B to E - drawing right-angle triangle A to B to E back to A.

AB is 16cm

AE is 8cm - given above

(because the triangle at the front & back are the same.)

Use Pythagoras Theorem for length BE:

a^2 + b^2 = c^2

16^2 + 8^2 = c^2

Square root

C = root 16^2 + 8^2

= 8 root 5

= 17.8885...

8 Square root 5 - I'll use for BE

Creat another triangle to find the angel -

B to E to (M between the length AD)

However, diagonal line B to M needed.

So, m is the mid-point of the base triangle, pretend to slice it in half from point M - this creates a mini rectangle. (ABM to MA - with M on side AD)

Now use this to find B to M:

(if MC is 5cm, BM is 5cm - on length BC)

C = root 16^2 + 5^2

= root 281

= 16.76305...

= 16.76

Create right-angle triangle:

Be to M back to B

BE= 8 root 5

EM = root 39

MB = root 281

So, the angle will be from EB to M.

EB is the hypotenuse

BM is the adjacent

AH means Cah, but the inverse

Cos-1(a/h)

Cos-1(root 281 / 8 root5) = 20.4326...

Thus, angle we're after is 20.43 degrees to 2.dp

(The easiest way for me to explain - it took a while)

Hope this helps!

Answer:

Plow - is used for tilling largefurrows and inter row cultivation. WhTractor - Used to pull disc plow and disc harrow in preparing much bigger area of land Down is used for cleaning the ground and leveling the topsoil Barrow - is used for hauling trash, manures, fertilizers, plant

Answer:

69.6 70 to the nearest cent

Step-by-step explanation:

I don't know how to explain

Answer:

16:80

Step-by-step explanation:

80 people * ( 1 pineapple / 5 people) = 16

Answer:

266

Step-by-step explanation:

Answer:226

Step-by-step explanation:

Answer:

Sam used estimation. He rounded the amount of guests (192) to the nearest hundred (200).

The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The functions are given below.

[tex]\rm f(x) = 4x+ 50\\\\ g(x) = 3x - 4 \\\\h(x) = 2x^2+ 9x- 4[/tex]

The slope of the f(x) and g(x) will be 4 and 3 respectively.

And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.

The graph is shown below.

More about the slope link is given below.

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The amount of wax that Maria will need to fill up the cylinder in this scenario is 12pi cm3 which is denoted as option A.

This is defined as a a three-dimensional solid that holds two parallel bases joined by a curved surface usually at a fixed point and the volume is  πr²h where r is radius and h is height.

Volume = πr²h

             = π × 2² × 3

             = 12π cm³

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Answer:

its A

Step-by-step explanation:

Answer:

x

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=−

7

5

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Step-by-step explanation:

Answer:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Step-by-step explanation:

It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.

An equation usually consists of equality of two mathematical expressions. Let it be

A = B

. If we take them to be equal to third variable, then:

A = B = C

type of equation is obtained.

We can then take it as a system of two equations as:

A = C\\ B=C

The solution to this system will give us the solution to the considered equation.

The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

Given that 2x + 1 : x + 2 = x+8 : 3x-4

First we have to same the bases.

As we know [tex]8=2^3.[/tex]

[tex]2^{3x}=2^{3(2x+1)}.[/tex]

Now 3x=3(2x+1) distribute 3 by the Barker.

[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]

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Answer: 49 degrees

Step-by-step explanation:

Answer:

FG

Step-by-step explanation:

Hello!

A diameter is a line segment that goes through the center of a circle and touches two points on the perimeter of the circle.

Here, we see two lines that touch two points of the circle (AB and FG) but only one segment, FG, goes through the center, given by the point O.

Hence, it is Option A: FG

1- Ferald follows school rules
2- Lex and Jaye are gems
3- Jay loves adbobo and beef stew
4- Jake's best friend is his dog
5- Kim has self-discipline

~Denki Kaminari here~

so what we're going to do is, find the cost of wrapping paper per foot,

6.03 divided by 9 = 0.67

now we're going to convert the 9ft into yards,

1 yard= 3ft so, there are 3 yards.

now that we know that there are 3 ft in one yard, we are going to multiply 0.67 by 3

0.67x3= 2.01

so, we got $2.01 per yard

hope this helps :D

Answer:

you cant do that, you can only get to 96 by multiplying 24 by 4, ill keep trying tho if you really need this

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\boxed{\text{Area of triangular prism = length*(a+b+c) + 2*base area}}[/tex]

Here a, b,c are the sides of the triangle.

a = 14 cm ; b = c = 25 cm  and length = 10 cm

[tex]\boxed{\text{Base area=2*$\dfrac{1}{2}*base*height$=base *height}}[/tex]

base = a = 14 cm & h = 24 cm

Base area = 14*24

               = 336 cm²

Total surface area = 10*(14+25+25) + 336

                              = 10*64 + 336

                             = 640 + 336

                             = 976 cm²

Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that more than 7 will make a purchase is given by:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042[/tex]

[tex]P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012[/tex]

[tex]P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02[/tex]

[tex]P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0[/tex]

[tex]P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0[/tex]

Then:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.

0.056 = 5.6% probability that more than 7 will make a purchase.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

north market, .44

Step-by-step explanation: