find the slope of the line on the graph write your answer as a fraction or a whole number

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Using Law of Cosines in triangle OPQ, we get

[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]

[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]

[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]

[tex]\cos P=\dfrac{168800}{868000}[/tex]

On further simplification, we get

[tex]\cos P=0.19447[/tex]

[tex]P=\cos^{-1}(0.19447)[/tex]

[tex]P=78.786236[/tex]

[tex]P\approx 79[/tex]

Therefore, the measure of angle P is 79 degrees.

Answer:

79

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i got an 100 on the test :)

Answer:

yes its decimal

Step-by-step explanation:

The given fraction into percent and decimal are; 2.8  and 280%

Percent counts the number compared to 100.

There is a fraction, containing numerator(upper value) and denominator(lower value).

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in decimal)

There is a fraction, containing numerator(upper value) and denominator(lower value).

The mixed fraction contains a sum of whole number and a proper fraction.

WE have been given a fraction as;

14/5

Then Fraction Decimal Percentage

2.8  and 280%

The given fraction into percent and decimal are; 2.8  and 280%

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Answer:

55555555

Step-by-step explanation:

Answer:

Step-by-step explanation:

distribute:

-5a+30+6a

simplify:

a+30

not sure what u mean by coefficient, the coefficient of a is 1.

Answer: a + 30

Step-by-step explanation:

Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a

By combining like terms, -5a+6a = a

Therefore, this expression = a + 30

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

c!!!!!!!!!!!!!!!!!!!

Answer:

a. S = 3n + 2

b. There while be 62 squares.

Step-by-step explanation:

We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?

8 - 5 = 3

11 - 8 = 3

14 - 11 = 3

We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.

To find the 20th term of this sequence, substitute n for 20 and do the operations.

S = 3(20) + 2

Multiply 3 by 20, then add 2.

S = 62

The 20th term will have 62 squares.

Answer: The acute angle ∠YXZ = 24.3°.

Step-by-step explanation:

If in triangle ABC, C is the angle included between sides a and b then

Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]

here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..

Area of a triangle = 59.7cm²

then, as per given, we have

[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]

Hence, the acute angle ∠YXZ = 24.3°.

Answer:

206

Step-by-step explanation:

70% of 294

70/100 × 294/1

205.8

round it off to 206

Answer:

Step-by-step explanation:

If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.

150-120= $30

His membership fee was $30.

Hope this helps!

Mark Brainliest plz!

x is the number of months and y is the membership fee

[tex]cost = 20x + y[/tex]

[tex]150 = 20(6) + y[/tex]

[tex]150 = 120 + y[/tex]

[tex]150 - 120 = 120 - 120 + y[/tex]

[tex]30 = y[/tex]

The membership fee was $30.

Answer:

22×4=88÷2=44+121=165

Answer:

±1

±1/2

±1/11

±1/22

±11

±11/2

±121

±121/2

Answer:

500

Step-by-step explanation:

40×100÷8=500

Number 40 is 8 percent of 500.

The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition to the shorthand "pct," which is used less frequently, the symbol "%" is used to indicate that a number is a percentage.

Let the unknown number be "x" whose 8% is 40.

Hence,

8% of x = 40

1% of x = 40/8 = 5

Thus, the value of x = 500

Therefore, 8 percent of 500 if 40.

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Answer: He started driving at 2:15 P.M.

Step-by-step explanation:

Answer:

3:05 P.M

Step-by-step explanation:

6:05 - 1 hour and 30 min = 5:25

5:25-40 minutes = 4:45

4:45 - 1 hour 40 minutes = 3:05 P.M

Answer:

$ 2100

Step-by-step explanation:

De la pregunta anterior:

1 metro de cerca de alambre = $ 150

14 metros = x

Cruz multiplicar

x = 14 × $ 150

x = $ 2100

Por lo tanto, costaría $ 2100 por una cerca de 14 metros

Answer:

-6x-4

Step-by-step explanation:

2(-3x)-4

-6x-4

r F(x) is your frame function since it is on the outside, when every you get to an x in the F function you plug in the G function then solve as normal.

Answer:

i am not smart

Step-by-step explanation:

Answer:

The answer is A (y = 2x - 2)

Step-by-step explanation:

B and D aren't correct because the y-intercept is a positive 2 instead of negative 2 like the graph shown. We're now left with A and C. Go on one point of the graph and count up or down to go on the same y value as the other point. Go left or right and count until you go to the same point. Remember that the slope equation is rise/run. Rise meaning up or down. Run meaning left or right.

Answer:

y = -x+2

Step-by-step explanation:

For first one

Answer:

289819

Step-by-step explanation:

Answer:

Reflection on the Y axis.

Step-by-step explanation:

(I cannot see the rest of the answers but I am assuming reflection is one of them). The shape reflects perfectly on the Y axis.

Answer:

1080

Step-by-step explanation:

540x2/ or 540 + 540

Answer:

658

Step-by-step explanation:

4+654=658.........

Answer:

658

Step-by-step explanation:

First solve 2x2, which is equal to 4.

Then solve 6 x 109 which is equal to 654.

Now add 4 to 654, and you'll get 658

Answer:

Step-by-step explanation:

It takes Lucas 3 hours to cycle from his home to his friend’s village:  

3 hours • (a certain speed) = distance in miles  

If he travels 5mph slower, it will take him 1.5 hours longer:

4.5 hours • (the same speed - 5mph) = the same distance in miles

 4.5 • (x - 5) = 3x

4.5x - 22.5 = 3x

1.5x = 22.5

x = 15mph  

3hours • 15mph = 45 miles

Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

[tex] = \tt100 - 40 + 24[/tex]

[tex] = \tt 100 - 64[/tex]

[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

[tex] = \tt36 \% \: of \: x = 72[/tex]

[tex] = \tt \frac{36}{100} \times x = 72[/tex]

[tex] = \tt \frac{36 \times x}{100} = 72[/tex]

[tex] = \tt \frac{36x}{100} = 72[/tex]

[tex] = \tt 36x = 72 \times 100[/tex]

[tex] = \tt36x = 7200[/tex]

[tex] = \tt x = \frac{7200}{36} [/tex]

[tex] \color{plum} = \tt \: x = 200[/tex]

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

[tex] = \tt40 \% \: \: of \: \: 200[/tex]

[tex] = \tt \frac{40}{100} \times 200[/tex]

[tex] = \tt \frac{40 \times 200}{100} [/tex]

[tex] = \tt \frac{8000}{100} [/tex]

[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

[tex] = \tt24 \% \: \: of \: \: 200[/tex]

[tex] = \tt \frac{24}{100} \times 200 [/tex]

[tex] = \tt \frac{24 \times 200}{100} [/tex]

[tex] = \tt \frac{4800}{100} [/tex]

[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, the total number of leaves on the tree = 200

The number of leaves is on the tree is 200.

Given that,

Now as per the above explanation:

= 100 - 40 + 24

= 100 - 64

= 36

Here we assume the number of leaves on the tree be x

So,

36% of x = 72

x = 200

Therefore we can conclude that the number of leaves is on the tree is 200.

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Answer:

511054077591

Step-by-step explanation:

Answer:

511,054,077,591

Step-by-step explanation:

Is this an actual question tho?

Answer:

Answer:

0.3643

Step-by-step explanation:

Standard Form and Scientific Notation

What is standard form of numbers?

Standard form is the normal way of writing numbers no matter how big or small the number is.

Examples:

15,000,000

0.0000000678

What is scientific notation?

Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.

Examples:

1.3 × 10⁶

34.5 × 10^⁻9

Going back to the question above, we need to convert the given scientific notation to its standard form.

Converting of Scientific Notation to Standard Form

To convert a number from scientific notation to standard form, move the decimal point.

The exponent tells the direction and the number of times we need to move the decimal point.

The positive exponent indicates a large number so we need to move the decimal point to the right.

The negative exponent indicates a small number so we need to move the decimal point to the left.

Do not write the power of 10 anymore.

Solution:

Now, let us convert 3.643 x 10^-1 in standard form.

The exponent is negative 1 so we will move the decimal point to the left once.

3.643 = 0.3643

Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"