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2 years ago

Given right triangle ABC which of the following statements must be true? Check all that apply.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

Answer:

Option A. <A and <B are complementary angles

Option D. $Sin(C)=Cos(90\°-C)$

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

$Sin(C)=Cos(A)$

$Cos(C)=Sin(A)$

Remember that

$A=90\°-C$

$Sin(C)=Cos(90\°-C)$

$Cos(C)=Sin(90\°-C)$

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The lemonade stand at the county fair sells the lemonade at a price of two cups for $3.60. Complete the table at right to find w

Tems11 [23]

I cant really help you with the table but she will need $14.40 to pay for it. This is because since two cups cost $3.60 you multiply 3.60 by 4. I got the 4 by dividing 8 into 2 because 8 people and 2 cups each

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2 years ago

butter and flour are mixed in the ratio 2:3. paul has 640 grams of butter and 880 grams of flour. how much more flour does he ne

madam [21]

Answer:

80g

Step-by-step explanation:

Here's why:

SO you have 2:3 ratio which means the ratio for grams of butter/grams of flour has to be 2:3.

So we set up the following equation:

2/3 = 640/x (solve for x)

x= 960g

960g is what you should have to get to ratio, but the question is asking how much more you need from the initial given flour.

So you need (suppose x is the grams of flour you need)

x+880g = 960g (solve for x)

x=80g

3 0

2 years ago

the sum of two numbers is 31. 2/3 of one of the numbers added is equal to 5/8 of the other.find the two numbers

Jet001 [13]

One number is 15 and the other is 16. You get this answer by first finding a factor of 3(15) that when it's subtracted from 31 gives you a factor of 8(16). Then you divide in this case 15 by 3 and get 5 and 16 by 8 and get 2. The reason you divided the numbers is because now you have 5 which is 1/3 of 15 and 2 which is 1/8 of 16. Now that you have your numbers that equal your fractions multiply 5 which is your 1/3 by the 2 from your 2/3 to get 10 which is 2/3 of 15 and 2 which is 1/8 by the 5 from you 5/8 to get 10 which is 5/8 of 16

6 0

2 years ago

An orchestra of 25 members bought tickets, at all different prices, to a concert, and the mean price paid was $82. A new musicia

AleksAgata [21]

Answer:

$82.3

Step-by-step explanation:

82x25=2050

2050+90=2140

2140/26=82.3

5 0

2 years ago

A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire

anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So, 16 inches = $\frac{1}{12}$ ×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × $\pi$ × radius

where $\pi$ = 3.14

or, circumference = 2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed = circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0

3 years ago