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Answer:

38

Step-by-step explanation:

triangle

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

The total of the two cars is 0.46 + 0.34 = 0.8

The total of all probabilities needs to equal 1

The probability of not buying either car is 1 - the sum of the two probabilities

1-0.8 = 0.20

The probability of not buying either car is 0.20

Answer:

Step-by-step explanation:

1) Vertically opposite angles are equal.

x + 30 = 180 - 2x

Add '2x' to both sides

x + 30  +2x = 180

3x + 30 = 180

Subtract 30 from both sides

3x = 180 - 30

3x = 150

 x = 150/3

x = 50

2)  Let the angle be x

It's complement angle = 90 - x

[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]

The angles are : 36 , 54

3) Let the angle be x

It's supplement = 180 - x

[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]

Angles are  30 , 150

4) Ratio = 7 : 3

The angles are = 7x , 3x

7x + 3x = 180

10x = 180

x = 180/10

x = 18

7x = 7 * 18 = 126

3x = 3 * 18 = 54

Angles are 126 , 54

1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.

Given: x + 30° and 180° - 2x are vertically opposite angles

⇒   x + 30° = 180° - 2x

⇒   3x = 150°

⇒   x = 50°

2. Let the complement be : C

Given : The other angle is two third of its complement

[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]

Two angles are said to be Complementary if their sum is equal to 90°

[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]

[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]

[tex]\sf{\implies 5C = 270}[/tex]

[tex]\sf{\implies C = 54}[/tex]

[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]

Answer: The size of the angle which is two third of its complement is 36°

3. Let the supplement be : S

Given : The other angle is one fifth of its supplement

[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]

Two angles are said to be Supplementary if their sum is equal to 180°

[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]

[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]

[tex]\sf{\implies 6S = 900}[/tex]

[tex]\sf{\implies S = 150}[/tex]

[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]

Answer: The size of the angle which is one fifth of its supplement is 30°

4. Two supplementary angles are in the ratio 7 : 3

Let the supplementary angles be : 7S and 3S

Two angles are said to be Supplementary if their sum is equal to 180°

⇒   7S + 3S = 180°

⇒  10S = 180°

⇒   S = 18°

First Angle : 7S = (7 × 18) = 126°

Second Angle : 3S = (3 × 18) = 54°

Answer:

Step-by-step explanation:

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.766 = x /3

0.766*3 = x

2.298 = x

2.30  = x

Answer:

35º

Step-by-step explanation:

u = 180 - 145

u = 35

Answer:

i think its yz but not sure

Step-by-step explanation:

Answer:

55 =x

Step-by-step explanation:

x+15=2x-40

Subtract x from each side

x-x+15=2x-x-40

15 = x-40

Add 40 to each side

15+40 = x-40+40

55 =x

Answer:

x = 55

Step-by-step explanation:

x+15=2x-40

take away x from both sides and add 40 on both sides to get the like terms on each side

55 = x

Answer:

D

Step-by-step explanation:

7.17 x 10(4) = 71,700

8.17 x 10(5) = 817,000

Any numbers between 71,700 and 817,000 is obv the answer

I did the math

A 69,200

B 7,200,000,000

C 7,570

D 80,530

Pretty obv that D be the only one that is inbetween 71,700-817,000

(excuse my spelling pls)

C. 270

Hope this helps! :)

Answer:

A.)90 degrees

Step-by-step explanation:

Given:

Consider the function is:

[tex]f(x)=\dfrac{x^2}{3}[/tex]

To find:

The average rate of change over the interval 2 ≤ x ≤ 4.

Solution:

We have,

[tex]f(x)=\dfrac{x^2}{3}[/tex]

At [tex]x=2[/tex],

[tex]f(2)=\dfrac{2^2}{3}[/tex]

[tex]f(2)=\dfrac{4}{3}[/tex]

At [tex]x=4[/tex],

[tex]f(4)=\dfrac{4^2}{3}[/tex]

[tex]f(4)=\dfrac{16}{3}[/tex]

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

So, the average rate of change over the interval 2 ≤ x ≤ 4 is:

[tex]m=\dfrac{f(4)-f(2)}{4-2}[/tex]

[tex]m=\dfrac{\dfrac{16}{3}-\dfrac{4}{3}}{2}[/tex]

[tex]m=\dfrac{\dfrac{16-4}{3}}{2}[/tex]

On further simplification, we get

[tex]m=\dfrac{12}{3\times 2}[/tex]

[tex]m=\dfrac{12}{6}[/tex]

[tex]m=2[/tex]

Therefore, the average rate of change over the interval 2 ≤ x ≤ 4 is 2.

Point C has the coordinates: (-5, -2)

Answer:

c

Step-by-step explanation:

Answer:

$22.50

Step-by-step explanation:

Answer:

$95 is the markup

Step-by-step explanation:

Add 45+50=95

Answer:

152 cups were ordered.

Step-by-step explanation:

Let the number of small size cups = x

And the number of medium size cups = y

Total number of cups used = 63

Therefore, first equation will be,

x + y = 63 -------(1)

Brewers emptied = 147 oz

Quantity of coffee in a small cup = 8 oz

Total amount of coffee in small cups = 8x

Quantity of coffee in a medium cup = 12 oz

Total amount of coffee in medium cups = 12y

Therefore, second equation will be,

8x + 12y = 147 -------(2)

Multiply equation (1) with 12 and subtract is from equation (2)

(8x + 12y) - (12x + 12y) = 147 - 756

-4x = -609

x = 152.25

Therefore, 152 cups of small size coffee were ordered.

Answer: x=3

Step-by-step explanation:

Subtract 7 from both sides to isolate x

[tex]x+7-7=10-7\\x=3[/tex]

Answer:

A

Step-by-step explanation:

cos(71)x19=6.1

6.1 =6

Answer:

ladder is 20 feet long.So answer is option c.

Step-by-step explanation:

let the length of a ladder be x

take 71 degree as reference angle

using sin rule

sin 71 =opposite/hypotenuse

0.94=19/x

x=19/0.94

x=20.21

x=20 feet

900Answer:900

Step-by-step explanation:

Step-by-step explanation:

a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4

b) Since there is only one #2, the probability is only 1/8.

c) Probability of landing on #3 is 2/8 or 1/4.

d) Probability of landing on a #4 is 1/8

e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4

Answer:

-27

Step-by-step explanation:

[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]

Answer:

45

Step-by-step explanation:

[tex]\sqrt{x^{4} } -y^{2}[/tex]

Plug in 3 for x and -6 for y

[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]

[tex]=\sqrt{3^4}+6^2[/tex]

[tex]=\sqrt{3^{4} } =3^{2}[/tex]

[tex]=3^2+6^2[/tex]

[tex]3^{2} =9[/tex]

[tex]=9+6^2[/tex]

[tex]6^{2} =36[/tex]

[tex]=9+36[/tex]

[tex]=45[/tex]

Answer:

the answer choices oh uhm I think i

Answer:

Susie reaches the store first being ahead by 0.06 hours.

Step-by-step explanation:

20 miles going 45 miles/hour.

20 miles / (45 miles / hour) = 20 miles hours / 45 miles =

= 20 hours / 45 = 4/9 hours = 0.44 hours

25 miles going 50 miles/hour.

25 miles / (50 miles / hour) = 25 miles hours / 50 miles =

= 25 hours / 50 = 1/2 hours = 0.5 hours

So Susie needs less time (= arrives first).

the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours

as additional practice :

0.06 hours is 60 × 0.06 minutes.

60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.

210 IS THE POSSIBLE ANSWER

Answer:

x=11

Step-by-step explanation:

this would now be...

7x+5=5x+27

collect like terms

7x-5x=27-5

2x=22

make x the subject of the formula

x=22/2

x=11

Answer:

No because they are not proportional. 2•3=6 but 4•3 does not equal 11.

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)

Step-by-step explanation:

According to the Question,

Now, Let The Coordinates of Point C are C( x , y ) .

        The Coordinates of Point C are C( x , y ) =  [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).

       Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex]  =  [tex]\frac{-1}{\frac{-1}{3} }[/tex]  ⇔  3.

       ⇒ √{ (b - 2)² +(a - 5)² } = √10

      on squaring both sides we get,

       ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

       ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)

     ⇒Thus,  (b - 2)/(a - 5) = 3

     ⇒ b - 2 = 3a - 15

     ⇒ b = 3a - 13 ⇔⇔ (Equation 2)

 ⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

 ⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

 ⇒10a² - 100a + 240 = 0

 ⇒a² - 10a + 24 = 0

 ⇒(a - 4)(a - 6) = 0

 ⇒a = 4 or a = 6

Now,

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Here's an answer! Hope it's helpful!