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Sergeeva-Olga [200]
2 years ago
13

17, 18, 22, 31, 47 what is the next number

Mathematics
1 answer:
pogonyaev2 years ago
4 0

Answer:

the next number is 47+ 16 =63

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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks​
Inessa [10]
<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

c^2 = a^2 + b^2 - 2ab\ cos c

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123

Thus, the distance between two landmarks is 123 meters

8 0
3 years ago
A baseball team won 2 games. They played 17 games total. Which ratio shows how many games they lost
Contact [7]

Answer:

15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2)  so the ratio is 15/17

6 0
3 years ago
Which is one way to check 102÷6 = 17? A) 105÷10 = 10 .5 B) 17÷6 = 102 C) 100÷5 = 20 D) 100×5 = 500
Karolina [17]
Was there a typo in the possible answers by any chance? B is closest to the possible answer, but only if the division sign was a multiplication sign.
102 <span>÷ 6 = 17
102 </span><span>÷ 17 = 6
17 x 6 = 102
6 x 17 = 102</span>
8 0
3 years ago
What is the standard form of this complex number? (24-10i)-(43+18i)
Yuki888 [10]

Answer:

-19-28i

Step-by-step explanation:

Simplify and write the answer in standard form, a+bi.

6 0
3 years ago
Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay
abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

r=6.5\%=\frac{6.5}{100}=0.065

t=\text{141 days}=\frac{141}{365}\text{ year}

A=\$78001+0.065\times \frac{141}{365})

A=\$7800(1+0.065\times 0.38630136986)

A=\$7800(1+0.025109589041)

A=\$7800(1.025109589041)

A=\$7995.85479

A\approx \$7995.85

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

8 0
3 years ago
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