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3 years ago

What is the answer to /4= 28; = 116

Mathematics

1 answer:

exis [7]3 years ago

8 0

Answer:

x = 116?

Step-by-step explanation:

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago

4 adults consumed food costing $60 for 3days. For the same food cost ,what would be the cost of food consumed by 7 adults for 5d

salantis [7]

Answer:

$175

Step-by-step explanation:

$60÷3÷4 =5

$5 is the cost of one adult's food for one day.

$5×7×5

=$175

$175 is the cost of food consumed by 7 adults for 5 days.

3 0

2 years ago

One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let

valkas [14]

Answer:

x = 18 y = 10

Step-by-step explanation:

let the first number be x

let the second number be y

x = y + 8..... equation 1

2x + y = 46.... equation 2

x is the larger number

y is the smaller number.

Rearrange the equation and add equation 1 to equation 2.

x - y = 8

+ 2x + y = 46

-------------------

3x + 0 = 54

3x = 54

divide both sides by 3

x = 54/3

x = 18

Substitute x = 18 into equation 1

x = y + 8

18 = y + 8

collect like terms

y = 18-8

y = 10

3 0

3 years ago

What is the opposite of 3.78

Lostsunrise [7]

The opposite of 3.78 is -3.78

3 0

3 years ago

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f

lbvjy [14]

Answer:

480 feet.

Step-by-step explanation:

We are told that the function $h(t)=-16t^2+16t+480$ models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.

To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.

Upon substituting t=0 in our function we will get,

$h(0)=-16(0)^2+16*0+480$

$h(0)=-0+0+480$

$h(0)=480$

Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.

8 0

3 years ago