questions in screenshot (odd numbers only)

Calculate the height of the upper triangle, using the Pythagoras theorem

The length of the vertical diagonal = 2 x 24

The length of the vertical diagonal = 48m

Answer:

m = 45h

Step-by-step explanation:

Calculate the difference in y-values (miles):

[tex]45 \underset{+45}{\longrightarrow} 90\underset{+45}{\longrightarrow} 135\underset{+45}{\longrightarrow} 180[/tex]

As the number of miles increases by the same amount for every increase of an hour, the equation is linear.

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given variables:

As the number of miles increases by 45 miles for each increase of an hour, the slope of the linear equation is 45:

[tex]\implies m=45h+b[/tex]

To find b, substitute one of the ordered pairs into the equation and solve for b:

[tex]\implies 45=45(1)+b[/tex]

[tex]\implies 45=45+b[/tex]

[tex]\implies b=45-45[/tex]

[tex]\implies b=0[/tex]

Therefore, the equation using the variables h and m that represents the information in the given table is:

[tex]\boxed{m=45h}[/tex]

Answer:

About 90 1/5's are in 9.

The equation 1st Row y = 3 x cubed minus 7 x squared 5 can be solved by using this system of equations,

What do you mean by  system of equations?

A group of equations comprising one or more variables is known as a system of equations.

The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

What three categories of equation systems are there?

There are three different sorts of solutions for two-variable linear equation systems.

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The measure of the angle ∠BEC is 60°.

We are given two parallelograms: ABCD and BDCE. They have a common base CD. It is given that BC is perpendicular to BD. We need to find the measure of the angle ∠BEC.

In the parallelogram ABCD, ∠BCD is equal to ∠DAB because opposite angles in a parallelogram are equal to each other.

∠BCD = 30°

In the triangle BCD, we will use the angle sum property. The sum of all the angles in a triangle is 180°.

∠DBC + ∠BCD + ∠CDB = 180°

90° + 30° + ∠CDB = 180°

∠CDB = 180° - 120°

∠CDB = 60°

Now, in the parallelogram BDCE, ∠BEC is equal to ∠CDB because opposite angles in a parallelogram are equal to each other.

∠BEC = 60°

Hence, the measure of the angle ∠BEC is 60°.

The complete question is given below.

In the figure given below, ABCD and BDCE are parallelograms with common base DC . If BC ⊥ BD , then find ∠BEC.

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The standard form of a graph that passes (-3,4) and has a slope of [tex]\frac{3}{2}[/tex] is

The standard form of the graph can be found as follows:

The point-slope form of a graph is

[tex](y-y_{1})=m(x-x_{1})[/tex]

where [tex](x_{1}, y_{1})[/tex] is the point that passes the graph and m is the slope.

Substitute [tex]x_{1}=-3[/tex], [tex]y_{1}=4[/tex], and m=[tex]m=\frac{3}{2}[/tex] into point slope form.

[tex](y-4)=\frac{3}{2} (x-(-3))[/tex]

Simplify the equation.

[tex]y-4=\frac{3}{2} (x+3)[/tex]

Multiply both sides by 2

[tex]2(y-4)=3(x+3)[/tex]

Simplify.

[tex]2y-8=3x+9[/tex]

Add both sides by 8.

[tex]2y=3x+17[/tex]

Subtract both sides by 3x

[tex]2y-3x=17[/tex]

Multiply by -1.

[tex]3x+2y=-17[/tex]

Remember the standard form of the graph is:
Ax+By=C

Then, the standard form of the linear equation is A. [tex]3x-2y=-17[/tex].

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The perimeter of the triangle if the value of y is 3 feet is 31 feet

Perimeter of the triangle:

Perimeter of the triangle is calculated as the total distance around the edges of a triangle.

The formula for the perimeter of the triangle is

P = a + b + c.

where

a, b and c refers the sides of the triangle.

Given,

Here we have the triangle with the side values are (y + 5)ft, (3y + 5)ft, and (4y - 3)ft.

Now we have to find the perimeter of the triangle when the value of y is 3 feet.

As per the formula of the perimeter of triangle, first we have to calculate the side values of it, by apply the value of y as 3,

Then we get the sides are,

y + 5 => 3 + 5 = 8 ft

3y + 5 => 3(3) + 5 = 14ft

4y - 3 => 4(3) - 3 = 9ft.

Therefore, the sides of the given triangle are 9ft, 14 ft and 9 ft.

Then the perimeter of the triangle is,

P = 8 + 14 + 9

P = 31

Therefore, the perimeter of the triangle is 31 feet.

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ANSWER

36 feet

EXPLANATION

We are given that the scale of the model is 1 inch to 9 feet.

The two flagpoles are 4 inches apart in the model.

To find the distance between them when they are installed, we have to use ratio/proportion.

Let the distance between them be x.

We have that from the scale:

1 inch = 9 feet

=> 4 inches = x feet

Now, we can cross-multiply:

Therefore, the distance between them when they are installed is 36 feet.

The investment amount that the bank president should make in the bonds so that the total earnings from the two investments will be at least $80,000 is $132,000.

The earnings from the second investment are the difference between the total expected earnings and the first investment's earnings.

Using the above difference obtained by subtraction, the investment amount is computed by dividing the difference by the annual interest rate.

The total earnings from the two investments ≥ $80,000

The profits from one investment = $47,000

The earnings from the second investment should be ≥ $33,000 ($80,000 - $47,000)

The annual interest rate on municipal bonds = 25%

The investment amount = $132,000 ($33,000 ÷ 25%)

Thus, if $132,000 were invested in municipal bonds at 25% interest, its annual earnings would be $33,000.

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From the information available, pear trees are planted and as more of them are planted then more barrels of pears will be produced.

This means the number of barrels will DEPEND on the number of trees planted, whereas the number of trees planted can be any amount and does not depend on the number of barrels.

ANSWER:

P is independednt and B is dependent

Where

p = number of pear trees that have been planted in the orchard

b = the number of barrels of pears the orchad will produce

Answer:

m∠B  <  m∠C  < m∠A

Step-by-step explanation:

We know that the opposite angle of the smallest arm is the smallest angle

2.

slope: rise(precipitation) / run (time)

In the real world, the slope means the relationship between time and precipitation.

3. AS the time increases, the precipitation increases. Is a linear function.

4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.

Both y-intercepts have the same meaning.

Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].

What is the slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Here given that,

Javier has a balance of $[tex]216[/tex] on his game store gift card. He spends $[tex]59[/tex] on each game he buys from the store.

So, the equation is of the form

[tex]y=-59x+216[/tex]

But we know line of equation is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the intercept.

i.e,

slope is [tex]-59[/tex]

[tex]y[/tex] int is [tex]216[/tex]

Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].

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Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]

Answer:

Ok For A should be 3.50 For 5 Meters which in Centimeter is 500. For B you can get 24 meters of ribbon

Step-by-step explanation:

This is how you do it convert the meters to centimeter then see how much the ribbon cost per centimeter which is 0.007

8 meters to centimeters = 800

0.007 x 800 = 5.60

Then for B 24 Meters to Centimeters = 2,400

0.007 x 2,400 = 16.80

The values that can represent 'y' when the slope is negative are:

So, values that can represent y are:

Substitute values as follows:

We know that the slope is negative.

So, the value of y needs to be greater than 2 and negative. Then,

Therefore, values that can represent 'y' when the slope is negative are:

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Recall, 1 ton = 1000 kg

This means that

1 kg = 1/1000 = 0.001 tons

If

1 kg= 2.2046 lbs, it means that

0.001 tons = 2.2046 lbs

Producing cost:

Revenue:

The profit (P) is equal to substract the producing cost for the revenue:

You can write also as:

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

P=50:

To solve for x:

Substract 50 in both sides of the equation:

Use the quadratic formula:

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

P=2500

Solve for x:

As the number under the square root is a negative number the equation has no solution (value of x) in the real numbers.

A' will be (-3,9)  B' will be (4,6) and C' will be (-5,-1). t are the coordinates of the vertices of aa'b'c' for the reflection rg.

A pair of numbers that specify where a point is situated on a coordinate plane using the horizontal and vertical separations from the two reference axes. usually represented by a pair of x-values and y-values (x,y).

In this problem, basically you have three points and 6 straight lines(4 described in the problem and x and y axis) in a 2-D plane. You have to find the reflection of these three points with respect to these 6 lines one by one.

Points are:

A(9,-3)

B(6,4)

C(-1,-5)

Case 1:

Line is X-axis  i.e.  y  =  0.

If you take reflection about x-axis then you can observe that the x - co-ordinate will remain same while y-co-ordinate will change its sign.

So A' will be (9,3), B' will be (6,-4) and C' will be (-1,5)

Case 2:

Line is y-axis  i.e.  x = 0

Here the analogy will remain same except here the y - co-ordinate will remain same and x - co-ordinate will change ite sign.

So, A' will be (-9,-3)  B' will be (-6,4) and C' will be (1,-5).

Case 3:

Reflection about line "m"  i.e.  x = -5

This is a vertical line. Suppose the point whose reflection is to be found about is line is at a perpendicular distance of "k" from the line on right side, then its reflection will be "k" distance on the left from this line on the same horizontal line. So y-co-ordinate will not change.

For A(9,-3), it is at a distance of 14 units from the line on the right side so its reflection will be 14 units on the left with same y - co-ordinate. So its x - co-ordinate will be -5-14  =  -19

So A' will be (-19,-3)

Similarly for B,  B' will be (-16,4) and C' will be (-9,-5).

This graph will help you understand better.

The red line is x  =  -5.

The case for line y = 1 and y = -2 will be similar.

Case 5:

Reflection about the line y  =  x

photos are attached .............

So, A' will be (-3,9)  B' will be (4,6) and C' will be (-5,-1).

We can use these two observations to find the reflection of any point about any line:

(i) The midpoint of the given point and the reflection point will lie on the given line about which the reflection is to be found.

(ii) The product of slope of given line and the line joining the given point and the reflection point is -1.

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Answer:

121cm^2

Step-by-step explanation:

44/4=11 so each side equals 11cm

to find the area multiply height by width

11*11=121

121cm^2

Answer:

<C=75.5⁰

Step-by-step explanation:

<C=<E

<C+<E+<D= 180⁰

<C+<E= 180⁰-29⁰

<C+<C= 151⁰

2<C= 151⁰

<C= 151⁰/2

<C= 75.5⁰

The option-C is correct, that is 1 to 10 millimeter per year fast is soil creep.

Given that,

In the picture we can see the options.

We have to select the correct option for the given question.

The slow, downward movement of rock and soil down a low grade slope is known as downhill creep, sometimes referred to as soil creep or simply creep. Downhill creep can also refer to the slow deformation of such materials as a result of persistent strain and tension. While creep may appear continuous to the spectator, it actually represents the accumulation of multiple little, discontinuous movements of slope material produced by gravity.

Therefore, The option-C is correct, that is 1 to 10 millimeter per year fast is soil creep.

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Answer: $360

Step-by-step explanation: $1800 divided by 5 equals $360 in one year.  Hope it helps! :)

They took 10 years to repay the loan.

Given, Andrettis borrowed $25,000 to renovate their kitchen with a 4.5% annual simple interest rate.

Interest he paid was, $11250

Now, we have to find the time period,

As, Simple Interest = (Principal×Rate×Time)/100

11250 = (25000×4.5×t)/100

11250 = 25×45×t

t = 10

Hence, they took 10 years to repay the loan.

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EXPLANATION

Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:

Where m is the slope and (x_1,y_1)=(1,-6)

Replacing terms:

Applying the subtraction property:

The original price of the speakers are found to be $150.

For the given question;

Gary had a 40% discount for car speakers.

The sales price of the speakers was $90.

Let the original price be 'x'.

Thus,

Sales price = original price - discount.

90 = x - 40% of x

90 = x - 40x/100

90 = 6x/10

x = 900/6

x = 150

Thus, the original price of the speakers are found to be $150.

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Answer:

38.461538

Step-by-step explanation:

the answer is below Learm!!!

Step-by-step explanation:

maybe if u learn in school u would get the answer bum

Answer:

D

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D