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Alinara [238K]
3 years ago
13

Solve this equation.What is the length of x?

Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer:

6. 12.5 cm

7. 0.7241

Step-by-step explanation:

6.

You have 2 right triangles. You can use the Pythagorean theorem for each one.

a^2 + b^2 = c^2

Let y = length of vertical side between triangles.

Left triangle:

5^2 + y^2 = 13^2

25 + y^2 = 169

y^2 = 144

y = 12

Right triangle:

3.5^2 + 12^2 = x^2

12.25 + 144 = x^2

x^2 = 156.25

x = 12.5

Answer: x  12.5 cm

7.

For <X, 2.0 ft is adj leg. 2.9 ft is hyp.

cos X = 2.0/2.9 = 0.6897

X = cos^1 0.6897 = 46.397 deg

sin X = sin 46.397 deg = 0.7241

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A website sells a dress at £50 and shoes at £43.
Allisa [31]

Answer:

£69

Step-by-step explanation:

Given information:

  • Cost of dress = £50
  • Cost of shoes = £43
  • Discount offer:  Buy a dress and shoes together and get 1/3 off the price.
  • Shipping & handling charge = £7 (added after the discount is applied)

Cost of buying a dress and shoes:

⇒ £50 + £43 = £93

Discount:

⇒ 1/3 of £93 = 1/3 × 93 = £31

Cost of goods after discount is applied:

⇒ £93 - £31 = £62

Addition of shipping and handling:

⇒ £62 + £7 = £69

Therefore, Ruth will pay £69 if she buys a dress and shoes.

8 0
2 years ago
Make 80/6 to a mixed number explain how u got your answer
Deffense [45]

Answer:

13\frac{1}{3}

Step-by-step explanation:

The closest multiple of 6 less than 80 is 13.

13×6=78

How many are left over?

80 - 78 = 2

\frac{2}{6} remains, and this can be simplified to \frac{1}{3}

13\frac{1}{3}

Hope this helps!! (I know it sounds a little complicated but it's easy to understand it with practice :)

6 0
3 years ago
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What is 7539 increased by 3200
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Increased just means +
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4 years ago
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Answer:

16

Step-by-step explanation:

4 0
3 years ago
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Circle O has is centered at (9, 9) and passes through (4, 9). What is the length of the diameter?
Amiraneli [1.4K]

Answer:

10 units

Step-by-step explanation:

Because the center of the circle is at (9 , 9) and passes through (4 , 9), <u>the radius must be 5.</u>

<em>Radius</em> - The length from the center of a circle to its edge

<em>Diameter</em> - The length from one edge of a circle to the opposite edge

The diameter is double the length of the radius, meaning D = 2(5).

2 × 5 = 10

So, the diameter of the circle is 10 units.

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3 years ago
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