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LUCKY_DIMON [66]
3 years ago
5

Natara is training to run a 26-mile marathon. Each week, she increases the distance she runs on her training days. Over the firs

t three weeks, her training distances have been 5, 8, and 11 miles. If she increases her distance at the same rate each week, in what week will Natara first run 26 miles?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

Week 8

Step-by-step explanation:

For each week add 3 miles until you reach 26 miles

Week 1:5

Week 2:5+3=8

Week 3:8+3=11

Week 4:11+3=14

Week 5:14+3=17

Week 6:17+3=20

Week 7:20+3=23

Week 8:23+3=26

Hope this answers your question :)

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6 0
3 years ago
Work out the area of Triangle ABC
Tema [17]

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Alr so you use the formula A^2 + B^2 = C^2

C^2 is already given and is 2\sqrt{5}

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So using algebraic rules you'll get B as:

\sqrt{2}

Now using the formula: \frac{1}{2} b * h, you can find the area of tri ABD and CBD which would be 3 and 1 so add them up and you get 4!

5 0
3 years ago
A circle has a radius of 9 inches. The Radius is multiplied by 2/3 to form a second circle. How is the ratio of the areas relate
liraira [26]

Answer:

\frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)} = \frac{81}{36} = (\frac{r_{1} }{r_{2}}) ^{2}

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.

Step-by-step explanation:

Radius of first circle (r_{1}) = 9 inches

Area of first circle = \pi r_{1} ^{2}

Area of first circle = 9 × 9 × π = 81 π

Now, since the radius is multiplied by 2/3 for from a new circle.

∴ Radius of the second circle = 9 \times \frac{2}{3} = 6\ inches

Area of second circle =  \pi r_{2} ^{2}

Area of second circle = 6 × 6 × π = 36 π

Now,

\frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)} = \frac{81\pi }{36\pi }

\frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)} = \frac{81}{36} = (\frac{9}{6}) ^{2} = (\frac{r_{1} }{r_{2}}) ^{2}

∵ (r_{1}) = 9 inches and (r_{2}) = 6 inches

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e., \frac {radius\ of\ first\ circle)^{2} }{(radius\ of\ second\ circle)^{2} } = \frac {(Area\ of\ first\ circle) }{(Area\ of\ second\ circle)}

8 0
3 years ago
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. Wha
Llana [10]

Answer:

d should be the answer because of course that is one of the bills you have to pay

Step-by-step explanation:

5 0
3 years ago
The expression 12g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5
makvit [3.9K]

Answer:

66 km

Step-by-step explanation:

Given that

Number of km's traveled by a car using g liters of gasoline  = 12g

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We have to find

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Now we can find this by substituting g= 5 \frac{1}{2} in the the above equation representing number of kilometers traveled by the car.

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x= 66 km

So, the car travels 66km in 5.5 liters of gasoline




5 0
4 years ago
Read 2 more answers
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