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3 years ago

Find the length of side AB, give your answer to 1 decimal place

Mathematics

2 answers:

lozanna [386]3 years ago

6 0

Answer:

5.6

Step-by-step explanation:

The side AB is the adjacent. Therefore you apply the cosine rule

Cos(62)x12 =5.633658756

Alex_Xolod [135]3 years ago

5 0

Answer:

5.6 = AB

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to find the length of AB

Cos theta = opp side/ hypotenuse

cos 62 = AB / BC

cos 62 = AB /12

Multiply each side by 12

12 cos 62 = AB

5.633658753 = AB

Rounding to 1 decimal place

5.6 = AB

We can also find AC

sin theta = opp side/ hypotenuse

sin 62 = AC / BC

sin 62 = AC /12

Multiply each side by 12

12 sin 62 = AC

10.59537111 = AC

Rounding to 1 decimal place

10.6 = AC

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Three ratios that are equivalent to 7:6

NemiM [27]

Answer:

14:12

28:24

35:30

Step-by-step explanation:

I hope this helped

8 0

3 years ago

a school is planning an event. they want to give out small souvenir footballs to children 10 years and younger. 2/5 of people at

Alinara [238K]

Answer:

$84

Step-by-step explanation:

The event is attended by 560 people.

$\frac{2}{5}$ of people attending are students.

So, the number of students = $\frac{2}{5} \times 560 = 224$

Again, $\frac{1}{4}$ of all students are 10 years old or less.

So, the number of students of old 10 or less is $\frac{1}{4} \times 224 = 56$ (Answer)

The school wants to give out small souvenir footballs to children 10 years and younger. If each football costs $1.50 ,then

the total cost for football is (1.5 × 56) = $84 (Answer)

7 0

4 years ago

Help me on this one too please.

Kobotan [32]

The answer is B I did something like this before I believe that is the answer

4 0

3 years ago

Read 2 more answers

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What

VladimirAG [237]

$\large\bold{Together \: We \: Go \: Far! } \\ \rule{70mm}{2.9pt}$

$\large \bold{✞ \: Problem \: ✞}:$

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What angle measures does the ladder make with the wall?"

$\rule{70mm}{2.9pt}$

$\large \bold{✞ \: Solution \: ✞}:$

✰ Step 1 ✰: Identify what is asked in the problem.

❒ The angle formed by the ladder with the wall.

✰ Step 2 ✰: Use appropriate trigonometric ratio to solve the problem.

$\quad\qquad \large\tt{ \: \: \: \: \: \: Sine \: ratio} \\ \quad \qquad \large \bigstar \: \: \boxed{\tt { \: \: \sin A= \frac{1.5}{5} \: \: }}$

✰ Step 3 ✰: Solution and interpretation.

$: \qquad \large \implies \tt{ \sin A = \frac{1.5}{5} }$

$: \qquad \large \implies \tt{A = \sin^{ - 1} ( \frac{1.5}{5}) }$

$: \qquad \large \implies \tt{A = 17.46 \approx \pmb{17 \degree} }$

$\rule{70mm}{2.9pt}$

$\large \bold{✞ \: Answer \: ✞}:$

❒ The angle formed by the ladder with the wall is approximately 17°.

$\qquad\rule{70mm}{2.9pt}$

$\large \bold{✰ \: MrHarold \: ࿐}$

3 0

2 years ago

Combining like terms

Inessa05 [86]

Combine like terms with common variable to simplify an expression.

1) (0b +10) + 5(b + 2) = 10 + 5b + 10 = 5b + 20

2) -7(n + 3) - 8(1 + 8n) = -7n -21 - 8 - 64n = -71n - 29

Use the distributive property to expand the expression.

1) -6(3x - 8) = -18x + 48

2) (-m + 9)(-3) = 3m - 27

3) 3(-6 - x) = -18 - 3x

4) 2(x - y + 1) = 2x - 2y + 2

5) 4(6p + 2q - 2p) = 24p + 8q - 8p = 16p + 8q

6) p(m + 2) = pm + 2p

8 0

4 years ago