I want a way to solve such a problem​

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

80cm / 12.5cm = h

h = 6.4cm

The height of the triangle is 12.5cm

A triangle is a plane figure with edges that are all straight with three sides and three angles.

The formula for calculating the area of a triangle is;

\(\mathbf{Area = \dfrac{1}{2}\times Base \times Height}\)

Given that:

The area = 40 cm²

Since the diagram for the triangle is not given;

∴

Using the formula form above:

\(\mathbf{40.0 cm^2 = \dfrac{1}{2}\times 12.5 cm \times Height}\)

\(\mathbf{40.0 cm^2 \times 2 = 1\times 12.5 cm \times Height}\)

\(\mathbf{80.0 cm^2 = 12.5 cm \times Height}\)

\(\mathbf{Height = \dfrac{80.0 cm^2}{ 12.5 cm} }\)

Height of the triangle = 6.4 cm

Therefore, we can conclude that the height of the triangle = 6.4 cm

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The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

A 1.5 standard deviations above the mean IQ score is 122.5.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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Answer:Yes it does

Step-by-step explanation:because it goes on the right path

Scientific notation is written in the form;

where;

a - is a real number whose absolute value is between 1 and 10.

And n is the power/ exponent(an integer).

The correct scientific notation from the options that follows the stated rule is;

The freezing point of water in relation to the freezing point of acetone, is 169 °F

The difference between the freezing point of water (how much warmer the freezing point of water is) and the freezing point of acetone can be found by the formula:
= Freezing point of water - Freezing point of acetone

Freezing point of water = 32°F

Freezing point of Acetone = – 137°F

In relation to the freezing point of acetone, the degrees warmer that the freezing point of water is:

= 32 - (- 137)

= 32 + 137

= 169 °F

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cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer:

I want to say it is the first one and the and the third one

Step-by-step explanation:

Answer:

a, d and e

Step-by-step explanation:

3.5%=3 1/2% of 20

3.5x100=0.035 of 20

3.5+3.5=7 (x2), then 20/2 will be 10

7% of 10

Using the percentage concept, it is found that 60.29% of the people surveyed were completely satisfied with the car.

A percentage is the number of desired outcomes, multiplied by 100%, and divided by the number of total outcomes.

In this problem, researching in the internet, it is found that:

A total of 1260 + 650 + 180 = 2090 people were surveyed.

Of those, 1260 were completely satisfied.

Hence:

60.29% of the people surveyed were completely satisfied with the car.

Answer:

Elena

Step-by-step explanation:

5.2 is bigger than 4.8

Answer:

Priya

Step-by-step explanation:

speed=D÷t

speed=Distance÷time

Elena=20÷5.2=3.8m/sec

Priya=20÷4.8=4.2m/sec

Answer: D

Step-by-step explanation:

Hope it helps

Answer:

75 is auwsome kid. im a million.

Step-by-step explanation:

waka waka

Triangle LQP is isosceles, and in it, angle L is 30 degrees; so the other two angles add up to 150 degrees. Hence, angle LQP is 75 degrees.

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

The value of LO if RU is 6 inches is solved to be 30 inches

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure when LM is 45 inches, and RS is 9 inches

the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5

9 * 5 = 45

when RU = 6 inches

6 * 5 = 30 inches

hence LO is 30 inches

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Answer:

m a g i c  t h a t ' s  h o w

Answer: m=-3/2

Step-by-step explanation:

To find the slope, we use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). With our given points, we can directly plug them into the formula.

\(m=\frac{9-6}{-5-(-3)} =\frac{3}{-2}\)

Our slope is m=-3/2.

Answer: 8000

Step-by-step explanation:

The 8 in the number 348,000 is in the thousands place.

So it represents the value of 8,000 .

Answer:

-3-i is the correct answer.

Step-by-step explanation:

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

The root is the value where the given function will tends to zero.

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

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The next three terms in the geometric sequence will be 24, 48 and 96.

We are given a geometric sequence:

3, 6, 12 …

We need to find the next 3 terms of the sequence.

We can see that:

a = initial term of the sequence

a = 3

r = common ratio between the consecutive terms.

r = 6 / 3 = 2

Now, nth term will be represented by:

aₙ = a rⁿ⁻¹

Substituting the values of a and r in the formula, we get that:

aₙ = 3 (2)ⁿ⁻¹

Now, the 4th term will be ( put n = 4)

a₄ = (3) (2)⁴⁻¹

a₄ = (3) (2)³

a₄ = (3) × (8)

a₄ = 24

The 5th term will be: (put n = 5)

a₅ = (3) (2)⁵⁻¹

a₅ = (3) (2)⁴

a₅ = (3) × (16)

a₅ = 48

6th term will be: (put n = 6)

a₆ = (3) (2)⁶⁻¹

a₆ = (3) (2)⁵

a₆ = (3) × (32)

a₆ = 96

Therefore, the next three terms in the geometric sequence will be 24, 48 and 96.

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Your question was incomplete. Please refer the content below:

The first three terms of a geometric sequence are 3, 6, 12. What are the next three terms?

Answer:

18 cm

Step-by-step explanation:

To find the distance, take the larger number and subtract the smaller number

26 cm - 8 cm

18 cm

Answer:

Here you go man

Step-by-step explanation:

Hope this helps :)

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

the probability of getting 3 aces and 2 kings when you draw 5 cards from the deck is 24 / 2598960 = 9.234463016 * 10^-6.

Step-by-step explanation:

the number of ways you can get 3 aces out of 4 aces is c(4,3) = 4.

the number of ways you can get 2 kings out of 4 kings is c(4,2) = 6.

the number of ways you can get 2 kings and 3 aces is 4 * 6 = 24.

the number of ways you can get 5 cards out of a deck of 52 cards is c(52,5) = 2598960.

Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)

The domain refers to the set of possible input values.

The domain of a graph consists of all the input values shown on the x-axis.

The range is the set of possible output values, which are shown on the y-axis.

According to the graph ,

The horizontal extent of the graph is starting from -4 and ending on 1

Therefore , the domain of graph is (-4 , 1)

These points are not included in the domain , you can observe the end points of curves is not filled

The vertical extent of graph is starting from 4 and going downwards till -5

so, Range of graph is (4 , -5)

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Answer:

x=360/8

=45 degrees,,,,

The measure of x = 45°.

Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed. The line segments are called the sides and the point where two sides meet is called the vertex of the polygon.

According to question,

There is a regular octagon.

Number of sides in regular octagon, n = 8

Since, measure of each exterior angle = 360°÷8

                                                                = 45°

Hence, the measure of each exterior angle of a regular octagon is 45°

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Answer:

40°

Step-by-step explanation:

The reference angle is the positive acute angle created by the terminal arm and the x-axis.

The highlighted red in the picture below shows what we're looking for.

The arm rotated 220° (but 'backwards' so the value given is negative).

|-220°| - 2(90°)          <= Subtract two right angles for two quadrants

= 220° - 2(90°)

= 220° - 180°

= 40°

Therefore, the reference angle is 40°.

If you got 50°, you probably calculated the angle with the terminal arm and the y-axis. Remember to always use the nearest side of the x-axis!