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2 years ago

Oscar's spinner has scores from 1 to 4. The table shows the probabilities of scores 1, 2 and 3

1 answer:

5 0

Hello! all the probabilities will add up to 1, so just subtract each of these to find 4.
1-0.1-0.5-0.1=0.3

4 had a probability of 0.3

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The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and

Julli [10]

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.

Replacing with the values given:

c^2 = 3^2 + 5^2

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.

5 0

2 years ago

Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

So, the solutions of the quadratic equation are 3 and -7.

6 0

2 years ago

One side of a square measures 6 centimeters. How tall is your area?

fgiga [73]

Area is side times side

One side = 6 cm

Area= 6×6= 36cm squared.

6 0

2 years ago

Mrs. Galicia launched a rocket into the air from the top of a building. Answer the following questions based on the graph below:

marusya05 [52]

Answer:

The first blank is 20 and the second one is 1.25

Step-by-step explanation:

i just took the quiz

3 0

3 years ago

Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, h

Bess [88]

Answer:

It will take 22.5 weeks for her to save up to buy the dress.

Step-by-step explanation:

1/3 of $6.00 is 2.

(6 ÷ 3 = 2)

So she's saving $2 each week.

Now we need to divide $45 by $2 to get the number of weeks.

45 ÷ 2 = 22.5

8 0

2 years ago