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2 years ago

Place elementary school is raising money. they raise $90 a week. how long will it take to raise $900?

Mathematics

1 answer:

Korolek [52]2 years ago

7 0

Answer:10 weeks

Step-by-step explanation:

900 is goal

900/90 is 10 or 10 weeks

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Points a, b, and c are midpoints of the sides of right triangle def. Which statements are true select three options. A B C D E

bagirrra123 [75]

Answer : The correct statements are,

AC = 5 cm

BA = 4 cm

The perimeter of triangle ABC is 12 cm.

Step-by-step explanation :

As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.

Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.

Using Pythagoras theorem in ΔACF :

$(AC)^2=(FA)^2+(CF)^2$

Now put all the values in the above expression, we get the value of side AC.

$(AC)^2=(3)^2+(4)^2$

$AC=\sqrt{(9)^2+(16)^2}$

$AC=5cm$

Using Pythagoras theorem in ΔDAB :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(BD)^2=(AD)^2+(BA)^2$

Now put all the values in the above expression, we get the value of side BA.

$(5)^2=(3)^2+(BA)^2$

$BA=\sqrt{(5)^2-(3)^2}$

$BA=4cm$

Using Pythagoras theorem in ΔBEC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(BE)^2=(CE)^2+(CB)^2$

Now put all the values in the above expression, we get the value of side CB.

$(5)^2=(4)^2+(CB)^2$

$CB=\sqrt{(5)^2-(4)^2}$

$CB=3cm$

Now we have to calculate the perimeter of ΔABC.

Perimeter of ΔABC = Side AB + Side CB+ Side AC

Perimeter of ΔABC = 4 + 3 + 5

Perimeter of ΔABC = 12 cm

Now we have to calculate the area of ΔABC.

Area of ΔABC = $\frac{1}{2}\times 4\times 3=6cm^2$

Now we have to calculate the area of ΔDEF.

Area of ΔDEF = $\frac{1}{2}\times 8\times 6=24cm^2$

Area of ΔABC = $\frac{6}{24}\times$ Area of ΔDEF

Area of ΔABC = $\frac{1}{4}$ Area of ΔDEF

8 0

2 years ago

What would the concentration be if we mixed 200g of 10% sugar solution and 300g of 20% sugar solution?

Irina18 [472]

The new concentration is obtained by
$\frac{200 \times 10 + 300 \times 20}{200 + 300} = \frac{2000 + 6000}{500} = \frac{7000}{500} = 14\%$

7 0

2 years ago

Read 2 more answers

Use the Pythagorean theorem to classify the triangle formed by the three fences. Which is true about the numbers 5, 12, and 13?

Alexxandr [17]

The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.

5² + 12² = 13²
25 + 144 = 169
169 = 169

5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)

3 0

2 years ago

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A company claims that its tablet computers have an average recharge time of 3 hours. In a random sample of these computers, the

jek_recluse [69]

Answer:

μ < 3

Step-by-step explanation:

5 0

1 year ago

During the early 20th century, in what way was the radio better than the phonograph in encouraging the concept of crosspollinati

ololo11 [35]

C. Phonograph were inferior in sound quality.

Step-by-step explanation:

Researches have shown that plants respond to the sounds of their pollinator.

Some plants begin to produce a greater amount of nectar and some begin to vibrate to attract the attention of the pollinators towards them.

Greater the intensity of the sound of the pollinator, the faster the reaction will be.

Phonographs have a sound of lower intensity when compared to the intensity of sound produced by the radio.

Thus the radio was better than the phonograph in encouraging the concept of cross-pollination.

6 0

2 years ago