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xeze [42]
2 years ago
14

PLEASE HELP!!!!!!!!

Mathematics
1 answer:
Andre45 [30]2 years ago
7 0
1)B
2)B

1) K < or equal to -5 so smaller than -5 with closed circle
2)K < or equal to 1 so less than 1 with closed circle
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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
Jackson has three cartons of gumballs. There are 100 boxes in each carton. There are 100 gumballs in each box
lilavasa [31]

Answer:

3. 10000

Step-by-step explanation:

Given the following :

Number of gumball cartons = 3

Number of boxes per carton = 100

Number of gumballs per box = 100

The number of gumballs can be expressed in the form : (a. 10) ; where ; a = prime number ; b = whole number

Values of a and b?

Total number of gumballs :

Number of carton × number of boxes per carton × number of gumballs per box

3 × 100 × 100

Hence, writing the expression in the form: a. 10

a. 10 = 3 × 10000

4 0
3 years ago
The sum of the interior angles of a polygon is 540°. How many sides does the polygon have?
8090 [49]
The answer is B. 5 !
7 0
3 years ago
On a popular television quiz show, contestants gain points for getting questions correct, and lose points for getting the answer
xenn [34]

Answer:

A

Step-by-step explanation:

200+150+150=500

500-500=0

5 0
3 years ago
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A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What do
Neko [114]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

The equation given is in the form of an exponential function:

The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

b = 1 + rate

1.0219 = 1 + rate

Rate = 1.0219 - 1

Rate = 0.0219

Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%

7 0
2 years ago
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