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3 years ago

6

A corporate team-building event costs $4 for every attendee. How many attendees can

1 answer:

Lunna [17]3 years ago

6 0

It would be 9. Because each person has to pay 4$ so 9*4=36 or 36/4=9

You might be interested in

One month ruby worked 8 hours more than Issac,and Shetland worked 4 times as many hours as ruby. Together they worked 136 hours.

Natalka [10]

R=number of hours ruby worked
i=number of hours issac worked
s=number of hours shetland worked

ruby worked 8 more than issac
r=8+i

shetland worked 4 times as many as ruby
s=4r

total they worked 136
r+i+s=136

so

we gots
r=8+i
s=4r

for r=8+i
solve for i
minus 8 both sides
r-8=i

so

r+i+s=136
subsitute r-8 for i and 4r for s
r+r-8+4r=136
6r-8=136
add 8 to both sides
6r=144
divide both sides by 6
r=24

sub back

r-8=i
24-8=i
16=i

s=4r
s=4(24)
s=96

ruby worked 24 hours
issac worked 16 hours
shetland worked 96 hours

4 0

3 years ago

2. The cone has a radius of 30 mm and slant height of 34 mm. What is the height h for this cone?

Flura [38]

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

$\sqrt{r^2+h^2}$

34 = $\sqrt{30^2 + h^2}$

$34^2 = 30^2 + h^2$

$1156 = 900 + h^2$

$256 = h^2$

$h = \sqrt{256}$

$h = 16$

6 0

3 years ago

Someone please help me

Irina18 [472]

Answer:

a) Angle XBC = 55° because it's a corresponding angle

AXY = XBC

b) 180° - (55° × 2) = 70°

7 0

4 years ago

What is the perimeter of an equilateral triangle that has a height of 24m?

meriva

Answer:

The perimeter of an equilateral triangle that has a height of 24m is

Option C : 48 square root 3

Step-by-step explanation:

Given:

Height of the triangle =24 m

To Find:

The perimeter of an equilateral triangle = ?

Solution:

Perimeter of the equilateral triangle = 3a

where a is the side of the triangle

Here the height is given as 24 m

Then from the figure

$Sin(60^{\circ}) = \frac{opposite}{hypotenuse}$

$Sin(60^{\circ}) = \frac{24}{x}$

$x = \frac{24}{Sin(30^{\circ})}$

$x= \frac{24}{\frac{\sqrt{3}}{2}}$

$x = \frac{24 \times2}{\sqrt{3}}$

$x = \frac{48}{\sqrt{3}}$

Now

The perimeter is

=> 3x

=> $3 \times \frac{48}{\sqrt{3}}$ -------------------------(1)

Now we know that 3 = $\sqrt{3} \times \sqrt{3}$ --------------------(2)

Substituting (2) in (1)

=> $(\sqrt{3} \times \sqrt{3}) \times \frac{48}{\sqrt{3}}$

=> $48\sqrt{3}$

4 0

3 years ago

If a line has slope a, what is the slope of its reflection across the line y=x?

aleksandrvk [35]

Check the picture below.

notice the reflected gray line on the red one over the y=x line, the slope of either line across the y=x line is simply the other's upside-down.

$\stackrel{\textit{slope of line "a"}}{a\implies \cfrac{a}{1}}\hspace{5em}\stackrel{\textit{slope of its reflection}}{\cfrac{1}{a}}$

3 0

2 years ago