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zzz [600]
3 years ago
7

Find AB Round to the nearest tenth.

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:4.1

Step-by-step explanation:

c=AB

C=26°

B=122°

b=8

Using sine rule

c/sinC = b/sinB

c/sin26=8/sin122

Sin26=0.4384

Sin122=0.8480

c/0.4384=8/0.8480

Cross multiply

c x 0.8480=8 x 0.4384

c x 0.8480=3.5072

Divide both sides by 0.8480

(c x 0.8480)/0.8480=3.5072/0.8480

c=4.1

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Given: 5n - 42 - 12n: Prove: n = -6<br> Statements : <br><br> Reasons :
OlgaM077 [116]
5*-6-42-12*12*-6=0
the answer is: 0
6 0
3 years ago
Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third a
guapka [62]

Answer:

<h2><em> 38°, 66° and 76°</em></h2>

Step-by-step explanation:

A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.

<A + <B + <C = 180° ...... 1

If the measure of one angle is twice the measure of a second angle then

<A = 2<B ...... 2

Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3

Substituting equations 2 and 3 into 1 will give;

(2<B) + <B + (3<B-48) = 180°

6<B- 48 = 180°

add 48 to both sides

6<B-48+48 = 180+48

6<B = 228

<B = 228/6

<B =38°

To get the other angles of the triangle;

Since <A = 2<B  from equation 2;

<A = 2(38)

<A = 76°

Also <C = 3<B-48 from equation 3;

<C = 3(38)-48

<C = 114-48

<C = 66°

<em>Hence the measures of the angles of the triangle are 38°, 66° and 76°</em>

4 0
3 years ago
What is the slope of the line with points (-2,0) and (8,0)
Natali5045456 [20]
The answer is 10 because when you use the slope formula y^2 - y^1 divided by x^2 - x^1 and plug your points in you get 10/0 which makes the answer ten
5 0
3 years ago
The average swimming pool has a water capacity of 375,000 liters. Use dimensional analysis to show how many milliliters of water
Agata [3.3K]

Answer:

375,000,000 milliliters of water is in the pool.

Step-by-step explanation:

We know

1 liters = 1000 milliliters

hence to convert liter in to milliliter we have to multiply the liter unit  with 1000 to get the milliliter

we have to find value of 375,000 liters in milliliters

to get that we multiply both side by 375,000

1* 375,000 liters = 1000* 375,000 milliliters

thus,

375,000 liters = 375,000,000 milliliters

thus, there is 375,000,000 milliliters of water is in the pool.

3 0
3 years ago
How do i find the value of x , i’m so confuseddd !
olasank [31]

Answer:

x ≈ 61.3

Step-by-step explanation:

Using the Sine rule, that is

\frac{6}{sinx} = \frac{5.8}{sin58} ( cross- multiply )

5.8 × sinx = 6 × sin58° ( divide both sides by 5.8 )

sin x = \frac{6sin58}{5.8} ≈ 0.87729, thus

x = sin^{-1} (0.87729) ≈ 61.3

5 0
3 years ago
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