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3 years ago

Using Trigonometric ratios, solve the following triangle

Mathematics

1 answer:

timurjin [86]3 years ago

4 0

Answer:

29.56

Step-by-step explanation:

From the given diagram

x = hypotenuse

27 = adjacent

Using SOH CAH TOA identity

cos theta = adj/hyp.

Cos 24 = 27/x

x = 27/cos24

x = 29.56

Hence the value of x to the hundredth place is 29.56

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There are 3 types of sweets in a jar.

KengaRu [80]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs = $2x + 6=2(x+3)$

Number of mints = $x$

Therefore, total number of sweets in the jar is,

$S=3+2x+6+x=3x+9=3(x+3)$

Now, probability of selecting a sweet to be humbug is given as:

$P(humbug)=\frac{\textrm{number of humbugs}}{\textrm{number of sweets}}\\P(humbug)=\frac{2(x+3)}{3(x+3)}=\frac{2}{3}$

Therefore, the probability that it is a humbug is $\frac{2}{3}$ .

7 0

3 years ago

PLZ HELP ME! I WILL MAKE YOU BRAINLIEST! Xian and his cousin Kai both collect stamps. Xian has 60 stamps, and Kai has 76 stamps.

zvonat [6]

Answer: After 4 months they will have the same number of Stamps

Xian and Kai will have 124 stamps each one.

Step-by-step explanation:

60+16x = 76+12x (Subtract 12 from both sides)

-12 -12

60+4x = 76 (Subtract 60 from both sides)

-60 -60

4x/4x = 16/4x (Divide 16 by 4)

X = 4

3 0

3 years ago

What is V125 in simplest form?

kvv77 [185]

Answer:

5 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ , then

$\sqrt{125}$

= $\sqrt{25(5)}$

= $\sqrt{25}$ × $\sqrt{5}$

= 5 $\sqrt{5}$

6 0

3 years ago

2x^-7xy+3y^2<br>÷2x^2-18y^2

Murrr4er [49]

Answer:

-x • (81x3y4 + 343x2y2 - 7938x - 3969y2)

———————————————————————

441

8 0

2 years ago

Read 2 more answers

Using the formula , find four ordered pairs <br> F=1.8c+32

Crank

(5,41)
(-5,23)
(-10,14)
(-15,5)

4 0

3 years ago