All categories

2 years ago

1. Triangle HYV and Triangle AYB are similar. What is the value of x

Mathematics

1 answer:

denis23 [38]2 years ago

6 0

Answer:

x=40.375

Step-by-step explanation:

Since HYV and AYB are similar, we know that the sides in each of the triangles with have the same ratio to each of their corresponding sides.

For example, YV/YB=YH/YA.

Now we have to find the ratio of the sides which can be done using the lengths of segments YB and YV. YB=16 YV=16+22=38 38/16=2.375

2.375 is our ratio.

Next we are going to find the length of YH so we can determine x.

YA=17 YH=17*2.375=40.375

The length of side YH=40.375 which is equal to x.

You might be interested in

The student council is selling cupcakes at the school play. The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcak

dedylja [7]

Answer:

C = 75 + 0.17x and R = 2x

2x - (75 + 0.17x) > 0

x ≥ 41

Step-by-step explanation:

The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.

Part A: Now, the equation for the cost, C, for making x cupcakes is

C = 75 + 0.17x ......... (1)

Again the equation for the revenue, R, from selling x cupcakes is

R = 2x ............ (2)

Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is

R - C > 0

2x - (75 + 0.17x) > 0 ......... (3)

Part C: Solving inequality (3) we get

(2 - 0.17)x > 75

⇒ x > 40.98

⇒ x ≥ 41 {Since, x can not be a fraction}

(Answer)

3 0

3 years ago

Carlotta subscribes to the HotBurn music service. She can download no more than 12 song files per week. Carlotta has already dow

UNO [17]

Answer:

Inequality: $x+10\leq 12$

Inequality solved: $x\leq 2$

The graph is attached.

Step-by-step explanation:

You need to remember the meaning of the inequalities symbols:

: Less than.

$>$ : Greater than.

$\leq$ : Less than or equal to.

$\geq$ : Greater than or equal to.

Let be "x" the number of more songs Carlotta can download.

According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol $\leq$ .

Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

$x+10\leq 12$

In order to solve it, you must subtract 10 from both sides:

$x+10-10\leq 12-10\\\\x\leq 2$

Plot this result on a number line.

Since the symbol of the inequality is $\leq$ , the dot must be filled (Observe the number line attached).

8 0

3 years ago

Jayden is running laps at track practice. The track is 2/5 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes d

Tom [10]

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

4 0

3 years ago

Solve this please help me

densk [106]

Answer:

1/2 or 0.5

Hope it helps!

7 0

2 years ago

Read 2 more answers

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$

$V = ( \pi *r^2*h)*a^2$

8 0

3 years ago