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2 years ago

How do you solve this? If you can answer on paper

Mathematics

2 answers:

Law Incorporation [45]2 years ago

8 0

This is how u would basically solve the problem

ser-zykov [4K]2 years ago

4 0

Answer:

∠?=40°

Step-by-step explanation:

Remember that in a line AND a triangle there are 180 degrees.

You correctly found the third angle in the left triangle to be 69°, Now plug it into the equation for a line, including 71°:

69°+71°+x=180°

1) Combine the degrees:

140°+x=180°

2) Subtract 140° from both sides:

x=40°

We have now found the bottom left angle for the triangle on the right to be 40°

To find the angle labeled "?" You must plug in all of the known angles of the triangle to be equal to 180°:

40°+100°+x=180°

1) Combine the degrees:

140°+x=180°

2) Subtract 140 from both sides:

∠?=40°

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A builder makes drainpipes that drop 1cm over a horizontal distance of 30cm to prevent clogs. A certain drainpipe needs to cover

Ann [662]

Answer:

700.39cm

Step-by-step explanation:

For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope

Using the concept of cross multiplication

30cm=1 cm drop

700 cm=x

30x=700

X=700/30=70/3=23 ⅓

Utilizing pythagoras theorem, the length of pipe will be

L=√(23⅓)²+700²

L=700.38878092417 cm

Rounded off, the length is approximately 700.39 cm

8 0

2 years ago

What is the missing pattern 7, 11, 2, 18, -7

Alexxx [7]

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the recurrence formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a defined rule. In this question we see a sequence which follows this rule:

$n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ (1)

Now we prove that given expression contains the pattern:

n = 0

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

To learn more on patterns: brainly.com/question/23136125

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8 0

1 year ago

a girl walked for 30 minutes she noticed that she traveled father in the first 15 minutes of her than in the second 15 minutes w

Arturiano [62]

This is a guess using logic, but my answer for this is that she concluded that she walked faster in the first 15 minutes. An increase in speed would increase the distance she walked in that amount of time

7 0

2 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$