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Pavlova-9 [17]
3 years ago
15

Find the unknown angle​

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

A = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°.

We know that one angle in the triangle is 90° (this is known because of the small square).

Hence:

A + A + 90° = 180°

Simplify

2A + 90° = 180°

Rearrange

2A = 180 - 90

2A = 90

Divide both sides by 2, so that A is by itself

A = 45°

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Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B
Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which  

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}

b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft

The length of side b is 179 ft

Option C is correct.

7 0
3 years ago
A boy starts the week with 3kg of rice, every day he cooks 0.6kg. How much rice will he have left after 4 days?
almond37 [142]

Answer:

1.8 Kg

Step-by-step explanation:

a week- 3kg rice

every day-0.6 kg rice

therefore, multiply 3 kg by 0.6kg

3kg x 0.6kg =1.8 kg

he will have 1.8 kg rice after 4 days

have a great day !

5 0
2 years ago
0+4=?<br> Help will be needed here
Romashka [77]

Answer:

40

you add a 0 to the four and boom

If you are really asking, then the answer is still 4

8 0
3 years ago
Read 2 more answers
Joseph and Dwayne are both selling cookie dough for a fundraiser. Although Joseph has already sold 3 tubs, Dwayne hasn't sold an
ArbitrLikvidat [17]

Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27

Step-by-step explanation:

Let x represent the number of days it will take either of them to sell the same number of tubs.

Let y represent the total number of tubs that that Joseph will sell in x days.

Let z represent the total number of tubs that that Dwayne will sell in x days.

Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be

y = 8x + 3

Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be

z = 9x

To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes

8x + 3 = 9x

9x - 8x = 3

x = 3

The number of tubs that each will sell will be 9x = 9×3 = 27

3 0
3 years ago
C.J bought a bag of birdseed for 4.25 he paid with a 5.00 bill.How much change did he get back.
ruslelena [56]
The answer is .75 if you have 5.00 and You Spent 4.25 So 4 Quarters Is A Dollar if you take a quarter. away from that 4.00 you will end up with .75 cents from the 5.00
8 0
3 years ago
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