All categories

3 years ago

Find the length of side x in simplest radical form with a radical denominator.

Mathematics

1 answer:

algol133 years ago

5 0

Answer:

radical 1/2

Step-by-step explanation:

45-45-90 triangle

hyp= radical 1/2 (radical 2)

therefore x (median side aka)= radical 1/2

You might be interested in

A pair of socks is purchased

ycow [4]

There was a 200% increase

8 0

3 years ago

Read 2 more answers

If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis

ruslelena [56]

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A

cos A = sin (90-A)

90 - x - 20 = x

2x = 70

x = 35 degrees

4 0

3 years ago

I NEED HELP ASAP!!!

Dahasolnce [82]

Answer:

a. The constant = 45

b. The unit rate is 45 miles per hour

c. d = 45t

Step-by-step explanation:

a. ∵ d ∝ t

∴ d = kt

∵ d = 90 at t = 2

∴ 90 = k(2)

∴ k = 90 ÷ 2 = 45

∴ The constant of proportionality is 45

b. ∵ k = d(miles) ÷ t(hours) = 45

∴ The unit rate is 45 miles per hour

c. The equation is ⇒ d = 45t

3 0

4 years ago

A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate

neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

$C-2=\frac{1}{11}*(C+D-2)...(1)$

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

$C=\frac{1}{7}*(C+D+4)...(2)$

Upon substituting C's value from equation (2) in equation (1) we will get,

$\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)$

Let us have a common denominator on right side of equation.

$\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)$

$\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)$

Multiplying both sides of our equation by 7, we will get,

$7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)$

$C+D-10=\frac{7}{11}*(C+D-2)$

Multiplying both sides of our equation by 11, we will get,

$11*(C+D-10)=11*\frac{7}{11}*(C+D-2)$

$11*(C+D-10)=7*(C+D-2)$

$11C+11D-110=7C+7D-14$

$11C-7C+11D-7D=-14+110$

$4C+4D=96$

$4(C+D)=96$

$(C+D)=\frac{96}{4}$

$(C+D)=24$

Therefore, the total number of Munchkins in original box is 24.

3 0

3 years ago

What formula do you use to find the area of a pyramid

dedylja [7]

Answer and Step-by-step explanation:

To find the surface area of a pyramid, start by multiplying the perimeter of the pyramid by its slant height. Then, divide that number by 2. Finally, add the number you get to the area of the pyramid's base to find the surface area.

8 0

3 years ago

Read 2 more answers