Could you guys help me please?​

Given:

The figure of an equilateral triangle with side length 14 in.

To find:

The height x of the equilateral triangle.

Solution:

We know that the height of an equilateral triangle is:

[tex]h=\dfrac{\sqrt{3}}{2}a[/tex]

Where, a is the length of side of the equilateral triangle.

It is given that the height of the triangle is [tex]x[/tex].

Putting [tex]a=14,h=x[/tex] in the above formula, we get

[tex]x=\dfrac{\sqrt{3}}{2}(14)[/tex]

[tex]x=\sqrt{3}(7)[/tex]

[tex]x=7\sqrt{3}[/tex]

Therefore, the height of the triangle is [tex]x=7\sqrt{3}[/tex].

Answer:

Step-by-step explanation:

y is inversely proportional to x; if x increases, y decreases.

Without more info it is not possible to find the constant of proportionality.  Recheck the original numerical values.  Think:  8 = kxy.  You need to know x and y to find the value of k.

Answer: 3 L

Step-by-step explanation:

Given

Grace uses 1000 mL of apple Juice to make one batch of fruit punch

If she triples the recipe, then the Juice used is also tripled i.e.

[tex]\Rightarrow 3\times 1000=3000\ mL[/tex]

In littres, it is [tex]3000\ mL=3\ L[/tex]

Answer:

Slope= -5

Step-by-step explanation:

Use the formula, (y2-y1)/(x2-x2)

4-(-6)/1-3 = 10/-2

10/-2 = -5

Therefore -5 is the slope

Answer:

1/2

Step-by-step explanation:

If you do this:

20:2=10

14:2=7

12:2=6

You get dimensions of smaller triangle which is a half from bigger one.

Answer:

scale factor is 1/2

Step-by-step explanation:

notice that the sides of ΔABC are one-half of the length of the sides 0f ΔDEF

Answer:

I believe it's either equation one or three. hope that helps :)

Answer:

D

Step-by-step explanation:

Answer:

1885

Step-by-step explanation:

Volume = Base x Height

Answer: $329.05

Step-by-step explanation:

Since she pays $245.82 monthly and she is paying for 6 months, the amount paid will be:

= $245.82 × 6

= $1474.92

Since she buys the full golf club set for $1,145.87, then her finance charge will be:

= $1474.92 - $1,145.87

= $329.05

The finance charge is $329.05

Answer:

4

Step-by-step explanation:

2x-3 = 5

2x = 8

x = 4

Hope this helps

I hope this helps you

in similar triangle sides are can be rate

ABC~EFD

AB/EF=BC/FD=AC/ED

5/2x-3=6/FD=4/9

9.5/4=2x-3

11.25+3=2x

2x=14.25

x=7.125

Answer:

-3/9=07+90

Step-by-step explanation:

Answer:  y = 0x+3 or y = 3

The slope is 0 and the y intercept is 3. So m = 0 and b = 3.

Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.

This graphs out a horizontal line that passes through the two points (0,3) and (1,3).

Answer:

Total cost= $100

Step-by-step explanation:

Giving the following information:

Each box has 10 brooms. Each broom is sold for $ 15

The charity earns $ 50 profit for each box of brooms.

First, we need to calculate the total revenue per box:

Total revenue per box= 10*15= $150

Now, the total cost:

Total cost= total revenue - total income

Total cost= 150 - 50

Total cost= $100

Answer:

The surface area is 8

and volume is 12.

Let me know if wrong!! :))

Step-by-step explanation:

Answer: 9 inch

Step-by-step explanation:

Given

Distance between city A and city B is 540 miles

Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation

suppose the distance between city A and B on the map is x

[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]

Therefore, the distance between city A and B is 9 in.

Answer:

82 notes

Step-by-step explanation:

The computation is shown below:

Given that

£1= 18.53 rand

and since Linz has £850 so he would get the equivalent of

= $890 ×  18.53

= 16,491.7 rands

Now he wants the 200 rand notes so we considered it as the  highest note

So, the greatest no of 200 notes would be

= 16,491.7 ÷ 200

= 82.45

= 82 notes

| c - 7 | 《 17

- 17 《 c - 7 《 17

add sides 7

- 17 + 7 《 c - 7 + 7《 17 + 7

simplification

- 10 《 c《 24

Answer:

c - 7 ≤ 17

c ≤ 24

Step-by-step explanation:

The difference of c and 7 can be written as c - 7 or 7 - c.

Now, since c - 7 is less than or equal to 17, you need to add ≤ to imply that it's less than or equal to 17.

As always, write the 17 on the other side. Now you have an inequality.

If you just need the equation, it's c - 7 ≤ 17.

But if you want to solve for c, it would be c ≤ 24.

(bring the like terms together and isolate c.)

Answer:  C. 3w + 8 – w = 4w – 2(w – 4)

(3w - w) + 8 = 4w - 2w -2(-4)

2w + 8 = 2w + 8

Step-by-step explanation:

Answer: A = $4,439.28

Rounded would be $4,439.3

Step-by-step explanation:

Answer:

4 gallons of gasoline per 1 mile

Step-by-step explanation:

Answer:12 miles per gallon.

Answer:

She can buy 3 bracelets.

Step-by-step explanation:

$50 (Total price) - $12 (Airpod case) = $38

$38 - $9.50 (Bracelets) = $28.5

$28.5 - $9.50 = $19

$19 - $9.50 = $9.5

Answer:

A chord is a line segment with endpoints on the circle. le Conjecture tells us that the central angles determined by the congruent chords are equal in measure

Step-by-step explanation:

Answer:

This is an Exponential Decay

Step-by-step explanation:

A = 1200(0.85)⁶

The above expression is an Exponential Decay because 0.85 is less than 1

The formula for Exponential Decay

= y = a (1 - r)^t

We equate both equation together

Where

a = 1200

1 - r = 0.85

t = 6

Solving for r

1 - r = 0.85

r = 1 - 0.85

r = 0.15

Converting to Percentage

r = 15% decay rate