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Paladinen [302]
3 years ago
8

Emilio writes the inequality 17(f+2)+45.99<200 The situation using the variable as to represent the number of friends solve a

ny quality then write the maximum number of friends that can attend the birthday party
Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

7 friends

Step-by-step explanation:

Given the inequality expression

17(g+2)+45.99<200

We are to find the value of g that satisfies the inequality

Expand

17g+34 +45.99<200

17g+79.99<200

Subtract 79.99 from both sides

17g+79.99-79.99<200-79.99

17g<120.01

g<120.01/17

g<7.059

Hence the max number of friend that can attend is 7friends.

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A car increases, then decreases, its speed. Which table could represent the speed of the car?
gulaghasi [49]

Answer:

B is ur answer

Step-by-step explanation:

6 0
2 years ago
Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)
ikadub [295]

<em>The right answer for:</em>

<em>cos(-170°) = _____</em>

<em>is:</em>

<em>-cos10°</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point (x,y) on the graph of y=cos(x) then the point (-x,y) also lies on the graph of the function. In other words, we can write:

cos(-170^{\circ})=cos(170^{\circ})

But:

170^{\circ}=180^{\circ}-10^{\circ}

So:

cos(170^{\circ})=cos(180^{\circ}-10^{\circ})

By property:

cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\  cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

4 0
3 years ago
10. Look at the diagram. Which of the following is a pair of vertical angles?
MArishka [77]

Answer:

1 option is correct

Step-by-step explanation:

Angle AOB and DOC is vertically opposite angle

7 0
3 years ago
Read 2 more answers
What is the mean of 68,75,72,90,80
andriy [413]

Answer: 77

Step-by-step explanation:

5 0
3 years ago
¿cuál es el vértice de una parábola que corta los ejes en los puntos (-1,0) , (5,0), (0,-10) ?​
kvasek [131]

Answer:

vertex: (2,-18)

Step-by-step explanation:

y = ax² + bx + c

(-1,0) : a - b + c = 0       ...(1)

(5,0) : 25a +5b +c = 0  ...(2)

(0,-10): 0a + 0b + c = -10        c=-10

(1) x5: 5a - 5b + 5c = 0  ...(3)

(2)+(3): 30a + 6c = 0          30a = -6c = 60        a = 2

(1): 2 - b -10 = 0     b = -8

Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18

equation: y = a(x-h)²+k     (h,k): vertex

vertex: (2,-18)

3 0
2 years ago
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