find the missing measure in each triangle with the given angle measure ? 45° , 35°,x°

Answer:

53

Step-by-step explanation:

The sine and cosine have to be equal to 90 degrees.

the answer is B i just did it

Answer:

The answer is B.

Step-by-step explanation:

I took the benchmark too.

. Thus, the number of girls =30.

Let's denote the number of boys as 5x and the number of girls as 3x. According to the problem, the total number of students is the sum of both boys and girls:

5x + 3x = 80

Combining the terms, we get:

8x = 80

Now, solving for x:

x = 80 / 8

x = 10

Now that we know the value of x, we can find the number of girls:

Number of girls = 3x = 3 * 10 = 30

Therefore, there are 30 girls in the 8th grade.

Answer:

x = 14; z = 83 hope this helps u

The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.

Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).

First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.

The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.

To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.

Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.

https://brainly.com/question/16025398

#SPJ11

The position 'D' on a number line, based on the information given, is approximately one and two-thirds units, or 1 2/3, to the right of the center bottom perpendicular hash mark, often representing zero.

The position of 'D' on the number line represents the location of a particular point labeled as 'D.'

According to the provided reference, the fifth dot, presumably 'D', is about one and two-third perpendicular hash marks to the right of the center bottom perpendicular hash mark.

On a typical number line, the center bottom perpendicular hash mark often represents zero.

If each perpendicular hash mark to the right of zero denotes one unit, then 'D' would be located at 1 2/3 or 1.67 on the number line. However, without the actual number line, this remains an estimated position.

For more such questions on number line, click on:

https://brainly.com/question/27269280

#SPJ2

The probable question may be:

What is the position of D below?

When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.

When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.

The formula for the volume of a cylinder is [tex]\(V = \pi r^2 h\)[/tex], where r is the radius and h is the height.

If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.

Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.

Substituting the new radius into the volume formula, we get:

Original Volume: [tex]\(V_1 = \pi r^2 h\)[/tex]

New Volume: [tex]\(V_2 = \pi (2r)^2 h = \pi (4r^2) h\)[/tex]

We can see that the new volume is 4 times the original volume [tex](\(V_2 = 4V_1\))[/tex].

So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.

The interest per year on the amount of money that Emillio borrowed  from the bank at the rate of 8% interest is $192

From the the formula for expressing

[tex]simple interest [ I= prt][/tex]

[tex]= 192.00[/tex]

Therefore, the interest on the money is $192

Learn more at:   https://brainly.com/question/22621039?referrer=searchResults

The circumference of the circle is given as 2[tex] \pi [/tex]r where [tex] \pi [/tex] is a constant whose value is equal to 22/7 and r is the radius of the circle

From the given problem, we have the circumference =37.7

2[tex] \pi [/tex]r = 37.7

2*22/7*r = 37.7

r = 37.7*7/(22*2)

r = 263.9/44

r = 5.99

r = 6cm

Radius = 6 centimeters (Rounded to nearest whole number)

It is given The lowest altitude of an alto cumulus cloud is about  [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.

The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].

It is given The lowest altitude of an alto cumulus cloud is about  [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.

The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].

The area of trapezoid is calculated as -

Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]

Here, a = base 1

b = base 2

Height is the height of trapezoid.

It is given that,

Area of trapezoid = 166.75 in

Base 1, a = 21 in

Base 2, b = 8 in

Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]

166.75 in = [tex] \frac{21 in + 8 in}{2} X height [/tex]

Height = [tex] \frac{ 166.75 in}{14.5}

Height = 11.5 in

Thus, height of trapezoid = 11.5 In

To find the probability of flipping tails all three times, we need to consider that each flip of a fair coin has a probability of 0.5 of landing on tails.

Since the coin flips are independent events (the outcome of one flip doesn't affect the outcome of another flip), we can simply multiply the probability of each individual flip.

So, the probability of flipping tails three times in a row is:

P(Tails, Tails, Tails) = P(Tails) × P(Tails) × P(Tails)

P(Tails, Tails, Tails)  = 0.5 × 0.5 × 0.5

P(Tails, Tails, Tails) = 0.5³

P(Tails, Tails, Tails) = 0.125

So, the probability that Kendra flips tails all three times is 0.125 or18.

The probability of flipping tails on a fair coin is 0.5 (or 1/2) since there are two equally likely outcomes, heads or tails. When flipping a coin three times, each flip is independent, meaning the outcome of one flip doesn't affect the outcome of another.

To find the probability of flipping tails all three times, we multiply the probability of each individual flip.

So, 0.5 (tails on the first flip) times 0.5 (tails on the second flip) times 0.5 (tails on the third flip) equals 0.5³ = 0.125.

Therefore, the probability that Kendra flips tails all three times is 0.125 or 1/8.

Complete Question:

Kendra flips a coin 3 times what is the probability that she flips tails all 3 times.

Basketball   16+2=18    (2*8)+2

Baseball    40-5=36    (5*8)-4

Softball 18+6=24 ( (5*8)-4)/2  +6

8+18+36+24=86

The value of r that makes the expression 7r less than 7 is 4/5, as multiplying 7 by 4/5 results in 5.6, which is less than 7.

The question asks which value of r makes the expression 7r equal a number less than 7, given the choices of 4/4, 4/3, 4/5, or 4/1. To find the solution, we simply multiply 7 by each fraction option and see which results in a number less than 7.

Thus, the value of r that makes the expression 7r result in a number less than 7 is 4/5.