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liraira [26]
3 years ago
11

How to do this question I am having a problem trying to do it

Mathematics
2 answers:
____ [38]3 years ago
7 0
\text {tan} (x) = \dfrac{\text{opposite}}{\text {adjacent}}

\text {tan} (30) = \dfrac{\text{x}}{\text {26}}

x = 26 \times \text {tan} (30)

x = 15.01 \text { units}
nika2105 [10]3 years ago
5 0
Hey there :)

We need to use trigonometry here
Given is the angle   = 30°
And one side           = 26
With a missing side =  x

The missing side is the opposite of the given angle, we have the adjacent but we don't know the value of the hypotenuse, so we need to use Tangent

Tan α = \frac{opposite}{adjacent}
tan 30 = \frac{x}{26}
26tan(30) = x
x = 15
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The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.​
valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

  • The formula for sum of an arithmetic progression series with first and last term given is;

S_{n} = \frac{n}{2}(a + l)

where;

a = first term

l = last term

n = number of terms

  • From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; S_{n} = 1920

  • Plugging in relevant values into the sum of an AP formula, we have;

1920 = \frac{n}{2}(4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

  • Formula for nth term of an AP is;

t_{n} = a_{1} + (n - 1)d

where;

a_{1} is first term

d is common difference

n is number of term

t_{n} is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

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a

Step-by-step explanation:

Direct proportion is when two numbers move in the same direction. If one of the numbers increase, the other number increases and if the one of the numbers decrease, the other number decreases. The magnitude of the movement of the numbers is bounded by a constant

The expression for direct proportion is

y ∝ kx

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let illustrate with an example :

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Answer:

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Step-by-step explanation:

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Answer:

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