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3 years ago

Please help me will mark brainliest

Mathematics

1 answer:

dsp733 years ago

5 0

The answer is 5.6 I hope this helps

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∆abc is isosceles, ab = bc, and ch is an altitude. how long is ac, if ch = 84 cm and m∠hbc = m∠bac +m∠bch?

Tems11 [23]

Given that ∆abc is isosceles and ab = bc, then m<bac = m<acb and m<hbc = 180 - m<bac - m<acb

Given that m∠hbc = m∠bac +m∠bch, then m<hbc + m<bch = m<bac + 2m<bch

But m<hbc + m<bch = 90°, thus 90° = m<bac + 2m<bch

Also, m∠bac + m∠ach = 90° ⇒ m<bac + 2m<bch = m<bac + m<ach ⇒ 2m<bch = m<ach

Since, Δabc is isosceles with ab = bc ⇒ m<bac = m<acb.

Also, m<acb = m<ach + m<bch ⇒ m<acb = 3m<bch = m<bac

Since m<bch : m<ach = 1 : 2 ⇒ bh : ah = 1 : 2

Thus, $bh:bc:ch=1:3:\sqrt{8}$

Given that ch = 84 cm, then

$\frac{bc}{ch} = \frac{bc}{84} = \frac{3}{\sqrt{8}} \\ \\ \Rightarrow bc= \frac{3\times84}{\sqrt{8}} =63\sqrt{2}=ab$

Now, $ah= \frac{2}{3} (63\sqrt{2})=42\sqrt{2}$

$ac= \sqrt{ch^2+ah^2} \\ \\ = \sqrt{84^2+(42\sqrt{2})^2} \\ \\ = \sqrt{7056+3528} = \sqrt{10584} \\ \\ =42\sqrt{6}$

6 0

3 years ago

If f(x)=4x+10, find f(2)

Genrish500 [490]

Answer:

Step-by-step explanation:

f(2)=4x+10

f=(4)(2)+10

f=8+10

f=18

4 0

3 years ago

Use right triangle DCB to find the trig values for angle D.

n200080 [17]

Sin D= opp./hyp. = 35/37
cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12

3 0

3 years ago

Read 2 more answers

Help me with this question pleases .

V125BC [204]

Answer:

Step-by-step explanation:

2 times 4 = 8

area of a triangle = b/2

8 * 12 = 96

96/2 = 48

48 plus 8 = 56

6 0

3 years ago

Read 2 more answers

Help please, pic attached will be much appreciated

Leviafan [203]

Answer:

The company should make 0 jumbo and 300 regular biscuits.

The maximum income is $42.

Step-by-step explanation:

Let's say J is the number of jumbo biscuits and R is the number of regular biscuits.

The oven can bake at most 300 biscuits. So:

J + R ≤ 300

Each jumbo biscuit uses 2 oz of flour, and each regular biscuit uses 1 oz of flour. There is 500 oz of flour available. Therefore:

2J + R ≤ 500

Income from jumbo biscuits is $0.12, and income from regular biscuits is $0.14. So the total income is:

I = 0.12J + 0.14R

Graph the two inequalities under the condition that J ≥ 0 and R ≥ 0:

desmos.com/calculator/aea00cmpwm

The region where the inequalities intersect has 4 corners:

(J, R) = (0, 0); (0, 300); (250, 0); (200, 100)

Find the income at each point:

(0, 0): I = 0

(0, 300): I = 42

(250, 0): I = 30

(200, 100): I = 38

The company makes maximum profit of $42 by baking 0 jumbo biscuits and 300 regular biscuits.

8 0

3 years ago