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Flura [38]
3 years ago
14

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

nter of town.
What is the direct distance from Sonja's house to her school?

(Hint: The center of town should be the origin, and north is up.)

Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

The answer is √58 = 7.62

Step-by-step explanation:

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

c² = a² + b²

a = 3

b = 7

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √58

c = 7.62

il63 [147K]3 years ago
7 0

Answer:

It's this graph

Step-by-step explanation:

I ran into this one on an assignment

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A machine covers 5/8 square foot in 1/4 hour
VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
Find the measure of each angle indicated.
Alexandra [31]
50 because 80+50+x=180 (inside triangle) x=130 180-130= 50 (angle outside triangle)
5 0
2 years ago
The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the di
gtnhenbr [62]

Answer:

2839.4 meters

Step-by-step explanation:

Given that:

Altitude = 1200 m

Using trigonometry :

The distance from point P to the airplane :

Using trigonometric relation :

Sin θ = opposite / hypotenus

Sin θ = altitude / x

Sin θ = 1200 m / x

Sin 25 = 1200 / x

0.4226182 = 1200 / x

x = 1200 / 0.4226182

x = 2839.4423

Distance from P to airplane = 2839.4 meters

8 0
3 years ago
Find the surface area of each figure round your answers to the nearest hundredth if necessary
Wewaii [24]

Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is A=\frac{1}{2}(10)(13.4), so their combined area is (10)(13.4)=134.

The area of each of the triangles with their base on the 12 km side is \frac{1}{2}(12)(13), so their combined area is (12)(13)=156.

The area of the bottom rectangular face is 10(12)=120.

So, the total surface area is 120+156+134=\boxed{410 \text{ km}^{2}}

3 0
1 year ago
I have math homework but i dont understand how to do it plz help me
ivann1987 [24]
1) 5x+0.29=3.24
 \\ 5x=2.95
 \\ x=0.59

Each marker cost 59 cents

2) 7(x+3)=126
 \\ 7x+21=126
 \\ 7x=105
 \\ x=15
The old Big Almond Bag weighed 15 ounces. The new Big Almond Bag weighs 18 ounces.
8 0
3 years ago
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