What kind of angle is formed by the tangent to a circle and a radius of that circle?

Answer:

Yes the Answer is

"D"  $2,073.60

Step-by-step explanation:

Correct on edg. 2021

Mia used [tex]3\frac{19}{36}[/tex] lb of flour to bake the chocolate cake.

Given:

Total flour [tex]10\frac{1}{9}[/tex] lbs

She used:

[tex]2\frac{3}{4}[/tex] for banana cake

x lbs for chocolate cake

Flour left [tex]3\frac{5}{6}[/tex] lbs

How much flour did she use to bake the chocolate cake?

so the flour that Mia use for banana cake is total flour subtract the flour that she used plus the left over.

x =Total flour - flour for banana cake - left over

[tex]\boxed {= 10\frac{1}{9} - 2\frac{3}{4} - 3\frac{5}{6} } \\[/tex]

I am going to put this into improper fraction

[tex]\boxed { = \frac{91}{9} - \frac{11}{4} - \frac{23}{6} }[/tex]

because the denominator is different, we are going to find the common denominator for 9, 4 and 6 which is 36

[tex]\boxed {= \frac{364-99-138}{36} }\\ \boxed {= \frac{127}{36} }\\\boxed {= 3\frac{19}{36} }[/tex]

So the flour that she use to bake the chocolate cake is [tex]3\frac{19}{36}[/tex] lbs

Part to whole relationship https://brainly.com/question/11677654

Math word problem brainly.com/question/997374

Mixed fraction brainly.com/question/745462

Keyword: mixed fraction, subtraction, improper fraction, part to whole relationship

To solve −3.64⋅|−5.3|−1.53, calculate the absolute value of −5.3, which is 5.3, then multiply by −3.64 to get −19.292, and finally, subtract 1.53 to result in −20.822.

You have presented a mathematical expression involving absolute value and multiplication: −3.64⋅|−5.3|−1.53. Let's solve this step by step:

Now performing the operations:

Therefore, the result of the given expression −3.64⋅|−5.3|−1.53 is −20.822.

Answer:

Solutions are (x, y) = (-6, 312) and (6, 312).

Step-by-step explanation:

Answer:

So the answer is D

Step-by-step explanation:

Answer:

add the parallel sides and divide by 2

then multiply it by the perpendicular side so  

Step-by-step explanation:

A=side one+side two x2

                2

Answer:

A quart of ice cream costs $0.775

Step-by-step explanation:

This problem can be solved by a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The number of gallons of ice cream

- The cost

As the number of gallons increases, so will the cost that Cheryl paid. So, the relationship between the measures is direct and we have the following rule of three.

12 gallons - $37.20

1 gallon - $x

12x = 37.20

[tex]x = \frac{37.20}{12}[/tex]

x = $3.1

Each gallon cost $3.1. Each gallon also has 4 quarts, so the cost of 4 quarts is $3.1.  To find the cost of a quart of ice cream

4 quarts - $3.1

1 quart - $x

4x = 3.1

[tex]x = \frac{3.1}{4}[/tex]

x = $0.775

A quart of ice cream costs $0.775

Final answer:

To calculate the percentage discount of a book, subtract the sale price from the original price, divide by the original price, and multiply by 100. The detailed calculation shows that the book had a 30% discount during the sale.

Explanation:

The question asks how to calculate the percentage discount of a book that has been reduced from its normal price to a sale price. To find the percentage discount, we subtract the sale price from the original price, and then divide this difference by the original price. Finally, we multiply by 100 to get the percentage.

Step-by-Step Solution:

The percentage discount offered on the book during the sale was 30%.

To determine the probability of a patron waiting less than 18 minutes or more than 25 minutes at a restaurant, we calculate the Z-scores for each time, look up the corresponding probabilities in a standard normal distribution table, and add the probabilities together.

To find the probability that a patron will wait less than 18 minutes or more than 25 minutes at a restaurant with an average waiting time of 23.5 minutes and a standard deviation of 3.6 minutes, assuming a normal distribution, we need to calculate two separate probabilities and then add them together.

First, we calculate the Z-score for 18 minutes, which is (18 - 23.5) / 3.6. Then, we find the corresponding probability from the standard normal distribution table. This gives us the probability of waiting less than 18 minutes.

Secondly, we calculate the Z-score for 25 minutes, which is (25 - 23.5) / 3.6. The corresponding probability gives us the probability of waiting more than 25 minutes. However, we want the probability of waiting longer, so we subtract this probability from 1 to find the probability of waiting more than 25 minutes.

Adding both probabilities gives us the total probability of a patron waiting either less than 18 minutes or more than 25 minutes.

People will need to go through more than one obstacle at locations 1, 2, and 3 on the course.

let's break it down:

Tires: Appear every sixth of the course.

Cones: Appear every third of the course.

Hurdles: Appear every half of the course.

To find where people need to go through more than one obstacle, we need to find the common multiples of these fractions.

Tires (1/6 of the course):

Locations of tires: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 (which is the end)

Locations: 1, 2, 3, 4, 5, 6

Cones (1/3 of the course):

Locations of cones: 1/3, 2/3, 3/3 (which is the end)

Locations: 1, 2, 3

Hurdles (1/2 of the course):

Locations of hurdles: 1/2, 2/2 (which is the end)

Locations: 1, 2

Now, let's find where there are overlaps:

Location 1: There's a tire, a cone, and a hurdle.

Location 2: There's a tire and a cone.

Location 3: There's a tire and a cone.

Location 4: There's a tire.

Location 5: There's a tire.

Location 6: There's a tire.

So, people need to go through more than one obstacle at locations 1, 2, and 3.

Answer:

19038

Step-by-step explanation:

Given : A culture started with 6000 bacteria after 3 hours to grew to 7200 bacteria

To Find: Predict how many bacteria will be present after 19 hours

Solution:

General Form of exponential function: [tex]y=ab^x[/tex]

where y is the amount after x hours

x is the time

a is the initial amount

b is the growth factor

Bacteria initial amount= a = 6000

Time = x = 3 hours

Amount of bacteria after 3 hours = 7200

Substitute the values in the general form

[tex]7200=6000(b)^3[/tex]

[tex]\frac{7200}{6000}=(b)^3[/tex]

[tex]\sqrt[3]{\frac{7200}{6000}}=b[/tex]

[tex]1.06265856918=b[/tex]

Now we are supposed to find how many bacteria will be present after 19 hours

So, Bacteria initial amount= a = 6000

Time = x = 19 hours

Amount of bacteria after 19 hours = y

Substitute the values in the formula:

[tex]y=6000(1.06265856918)^{19}[/tex]

[tex]y=19038.488[/tex]

Hence there will be approximately 19038 bacteria present after 19 hours

Final answer:

To find the mass of each box in this scenario, calculate the total mass of the cans first, then divide by the number of boxes. Each box weighs 10 grams.

Explanation:

A picture shows that 3 cans have the same mass as 9 identical boxes. Each can has a mass of 30 grams. What is the mass, in grams, of each box.

To find the mass of each box, we first calculate the total mass of the 3 cans: 3 cans * 30 grams/can = 90 grams. Since the 3 cans have the same mass as 9 identical boxes, each box's mass is: 90 grams / 9 boxes = 10 grams per box.

△FSB∼△ZDR

What is the value of x?

Enter your answer in the box.

____UNITS

The height of the cylinder is 14 centimetres.

To find the height of the cylinder, we use the formula for the volume of a cylinder, which is given by [tex]\( V = \pi r^2 h \),[/tex] where V is the volume, r is the radius, and h is the height.

Given that the volume V is [tex]224\pi[/tex] cubic centimetres and the radius r is 4 centimetres, we can substitute these values into the formula to solve for the height h:

[tex]\[ 224\pi = \pi (4)^2 h \][/tex]

Simplifying the equation by dividing both sides  [tex]\( \pi \) and \( (4)^2 \),[/tex]we get:

[tex]\[ \frac{224\pi}{\pi \cdot 16} = h \][/tex]

[tex]\[ \frac{224}{16} = h \][/tex]

[tex]\[ 14 = h \][/tex]

Therefore, the height h of the cylinder is 14 centimetres.