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Alex777 [14]
1 year ago
15

Why is ac smaller than ad if they both look very close

Mathematics
1 answer:
kakasveta [241]1 year ago
8 0

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

\begin{gathered} MK=21;AC=\text{?} \\ MR=24;AD=28\frac{4}{5} \\ KR=CD=\text{?} \end{gathered}

We will solve for the missing side by using the similar triangle theorem. This is shown below:~

\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}

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HELP PLS 30) PTS
Verdich [7]

Answer:

32 ; 20

Step-by-step explanation:

Middle section: 26

Sum of parallel lengths: 2 × 26 = 52

Ratio of the sides:

100% : 62.5%

8 : 5

5/(8+5) × 52

20

8/(8+5) × 52

32

6 0
3 years ago
I dont understand how to simplify an expression with exponents
Mashutka [201]

Answer:

3^4

Step-by-step explanation:

Simplifying an expression with expression with exponents:

If they are dividing, we keep the base and subtract the exponents. For example:

\frac{a^x}{a^y}=a^{x-y}

In this question:

\frac{3^2}{3^{-2}}=3^{2-(-2)}=3^{2+2}=3^4

8 0
1 year ago
The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in c
Aloiza [94]

The volume of the box without the lid is 500 cubic inches.

<h3>What is volume?</h3>

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

Another way to think of volume is as the amount of space a three-dimensional object takes up.

Calculation for the volume of the box-

The volume of a box without a lid is given by the formula v = 4x(10-x)².

Where,

'x' is a length in inches, and

'v' is the volume in cubic inches.

The volume when x = 5 inches.

Substitute the value of 'x' in the formula of volume;

v = 4×5(10-5)²

  = 20×5²

v  = 500

Therefore, the volume of a box without a lid is 500 cubic inches.

To know more about the volume of a cardboard shoe box, here

brainly.com/question/623789

#SPJ4

8 0
2 years ago
Please help me fast ​
Andre45 [30]

Answer:

...............................4650

8 0
3 years ago
23. Eduardo wants to get a grade of 95 in his math
dem82 [27]

Answer:

105

Step-by-step explanation:

It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

(91+89+X)/3 =95

 91+89+X =95*3

180+X =285

X =285 - 180

  =105

7 0
3 years ago
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