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3 years ago

Laura is making ice cream sundaes with her friends. The options for each sundae are shown.

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

Answer:

pink

Step-by-step explanation:

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An astronaut is 60kg on the Moon. What is his Mass on Earth?

Rus_ich [418]

Answer:

10kg?

Step-by-step explanation:

3 0

3 years ago

makayla wanted to buy cookies for the class the cookies are in 1 package? how many cookies are in 10 packages how many cookies i

denpristay [2]

Answer:

you didn't put how many cookie are in one package

Step-by-step explanation:

sorry

8 0

3 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0

3 years ago

Read 2 more answers

Greq and Sam oredered a pizza for lunch. Greg ate 3/4 of the pizza, and Sam ate 1/8 of the pizza. How much of the whoe pizza was

MatroZZZ [7]

Convert 3/4 to a denominator of 8 by multiplying by two, getting you:

6/8 + 1/8

Add those and you get D) 7/8

3 0

3 years ago

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inche

aleksandr82 [10.1K]

V: volume of a cone = (πr²h)/3 = 104.67 in³
π: pi = 3.14
r: radius = 1/2 diameter = [unknown]
h: height = 4 in

V = (πr²h)/3
V = r²(πh)/3

r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25

r = √25
r = 5 (but remember the radius is only 1/2 the diameter)

thus . . .

<u><em>d = 10 in </em></u>

8 0

3 years ago

Read 2 more answers