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3 years ago

A breakfast stall at a market stays

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Answer:

If it opens at 5:30, then it closes at 10:00 AM

If it opens at 6, then it closes at 10:30 AM

If it opens at 6:30, then it closes at 11:00 AM

If it opens at 7, then it closes at 11:30 AM

If it opens at 7:30, then it closes at 12:00 PM

After 12:00 PM, no one is going to have breakfast. So these are the only possibilities of the timing it will open. Either at 5:30, 6, 6:30, 7, or 7:30.

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of

Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

$\cos(60 \degree) = \frac{altitude}{hypotenuse}$

$\cos(60 \degree) = \frac{altitude}{8}$

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

$\sin(60 \degree) = \frac{4 - y}{y}$

$y\sin(60 \degree) = 4 - y$

$y\sin(60 \degree) + y= 4$

$(\sin(60 \degree) + 1)y= 4$

$y= \frac{4}{\sin(60 \degree) + 1}$

$y = 16 - 8 \sqrt{3}$

y=1.857

The diameter is 2y

$d = 32 - 16 \sqrt{3}$

=2(1.875)

The length of a Diameter is 3.714

7 0

3 years ago

Read 2 more answers

Find the first 3 iterations of the function here: g(n) = 3x if you have<br> an initial value of 2.

Tom [10]

1st it: g(2)=3(2)=6 || 2nd it: g^2(2)=3(6)=18 || 3rd it: g^3(2)=3(18)=54

4 0

3 years ago

PLS HELP I HAVE ALOT TO ANSWER AND TY IF YOU DO!!

Assoli18 [71]

Answer:

B: supplementary because they add up to 180 degrees

4 0

3 years ago

What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

6 0

3 years ago

Pls help me its for a grade

SVETLANKA909090 [29]

Answer:

D. -9

Step-by-step explanation:

$5f - 6f = 9 \\ - f = 9 \\ f = - 9$

7 0

3 years ago

Read 2 more answers