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4 years ago

1

Mathematics

1 answer:

dybincka [34]4 years ago

4 0

Answer:

height is 5 units

Step-by-step explanation:

We are required to determine the height of a triangle that has an area of 30 square units and a base measuring 12 units.

The formula for the area of a triangle is given as;

$Area=\frac{1}{2}*base*height$

We plug in the given values and solve for the height;

$30=\frac{1}{2}*12*height\\\\30=6*height\\height=5$

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At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce

storchak [24]

Answer:

The correct answer will be "60 min/hour".

Step-by-step explanation:

At time 2:00 PM

A car reads = 30 mi/h

At time 2:20 PM

A car reads = 50 mi/h

Now,

At time 2:00 PM

t = 0

At time 2:20 PM

t = $\frac{1}{3}$

$v(0)=30$

$v(\frac{1}{3})=50$

For MVT,

$v'(c)=\frac{v(\frac{1}{3} -v(0))}{(\frac{1}{3} )}$

$=\frac{20}{\frac{1}{3} }$

$=60 \ min/hour$

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3 years ago

Draw a right triangle. Find the circumcenter. Then construct the circumscribed circle. Where is the location of the circumcenter

lesantik [10]

Answer:

on the leg of it. HOPE THIS HELPS!!!!!!!!!

Step-by-step explanation:

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3 years ago

What the answer now answer only if now answer corry

goblinko [34]

Answer:

Approximately 11.5 units.

Step-by-step explanation:

We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.

Now, like last time, use the Law of Sines:

$\frac{\sin(V)}{v}=\frac{\sin(W)}{w}=\frac{\sin(X)}{x}$

We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for <em>x</em>.

$\frac{\sin(144)}{w}=\frac{\sin(21)}{7}$

Cross multiply:

$7\sin(144)=w\sin(21)\\w=\frac{7\sin(144)}{\sin(21)} \\v\approx11.4812\approx11.5$

6 0

4 years ago

Bags of almonds cost three dollars more than bags of pecans the owner of a bakery ordered five bags of almonds and three bags of

antiseptic1488 [7]

Answer:

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8

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3 years ago

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Leni [432]

Answer:

y ≤ 6

Step-by-step explanation:

First, let's simplify the inequality.

1/2y ≤ 3 (Given)

y ≤ 6 (Divide by 1/2)

You will need a shaded dot on the point positive 6 going to the left.

7 0

3 years ago

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