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1 year ago

There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the

Mathematics

2 answers:

Diano4ka-milaya [45]1 year ago

6 0

Answer:

The answer is B. Just took the test

Step-by-step explanation:

RSB [31]1 year ago

4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of boys

y -----> the number of girls

$x-y \leq 5$

$y \geq x-5$ ----->inequality A

The solution of the inequality A is the shaded area above the solid line $y=x-5$

The slope of the solid line is positive

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (5,0)

$x+y >4$ -----> equation B

The solution of the inequality B is the shaded area above the dashed line $y=-x+4$

The slope of the dashed line is negative

The y-intercept of the solid line is (0,4)

The x-intercept of the solid line is (4,0)

using a graphing tool

the solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

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Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angl

Naily [24]

Answer:

Part A: $\triangle RPQ \sim \triangle RSP$

Part B. All angles are same, so the triangles are similar.

Part C. RP = 8

Step-by-step explanation:

We are given a right angled triangle $\triangle RPQ$ with $\angle P = 90^\circ$ .

PS is perpendicular to the hypotenuse RQ of $\triangle RPQ$ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

$\triangle RPQ \sim \triangle RSP$ .

Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles $\triangle RPQ \ and\ \triangle RSP$ .

$\angle RSP =\angle RPQ =90^\circ$

Also, $\angle R$ is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles $\triangle RPQ \ and\ \triangle RSP$ are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that $\triangle RPQ \sim \triangle RSP$ .

Part C:

RS = 4

RQ = 16, Find RP.

There is one property of similar triangles that:

The ratio of corresponding sides of two similar triangles is equal.

i.e.

$\dfrac{RS}{RP} = \dfrac{RP}{RQ}\\\Rightarrow RP ^2 = RS \times RQ\\\Rightarrow RP ^2 = 4 \times 16\\\Rightarrow RP ^2 = 64\\\Rightarrow \bold{RP = 8\ units}$

5 0

2 years ago

A discount of 16% saved Jackie $38 on office supplies. What was the price of the supplies before the discount?

madam [21]

You got 2 types of data $ and %!
Line them up accordingly and cross multiply.

16% is to $38 as
100% is to $x

X= 38•100/16= $237.5 the price before discount

8 0

2 years ago

Read 2 more answers

a child starts a piggy bank with $2. each day, the child receives 25 cents at the end of the day and puts it in the bank. if A r

Troyanec [42]

For a given function f(x), the domain is the set of possible values of x that we can use and the range is the set of the possible values of f(x).

For both points we will find that the answer is:

"We only can evaluate the function with integer values of d."

a) Here we have the function:

A(d) = 2 + 0.25*d

The first thing we want to answer is:

"explain why the domain does not contain the value d=2.5 "

We know that at the end of each day the kids get's the $0.25, so at d= 2.5 there two days and a half, and because only 2 nights passed, at this moment the kid only got the money two times.

So for d = 2.1

d = 2.5

d = 2.7

etc

We would get the exact same total money, thus we only can evaluate the function with integer values of d.

b) Why the range does not include the value A = $3.10?

Remember that d can only be an integer number.

Now let's solve:

A(d) = 3.10 = 2 + 0.25*d

3.10 - 2 = 0.25*d

1.10 = 0.25*d

1.10/0.25 = d = 4.4

So we only can get A = $3.10 if d = 4.4, and remember that d only can be a whole number, this is why the range does not include the value $3.10

If you want to learn more, you can read:

brainly.com/question/1632425

8 0

1 year ago

Which function could be shown in the graph below

defon

Answer:

quintic function

Step-by-step explanation:

3 0

2 years ago

You buy a new television for $3,100. The value of the television decreases by 12 percent every year. How much is the television

IrinaK [193]

Answer:

is this wht u r searching for.....

6 0

2 years ago

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