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4 years ago

Angle C is an inscribed angle of circle P. Angle C measures (-3x - 6)° and arc AB measures (-4x)° . Find x

2 answers:

5 0

To find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6

check by plugging in.

valkas [14]4 years ago

4 0

Answer:

$x=-6$

Step-by-step explanation:

Given that angle C is an inscribed angle of circle P. Angle C measures (-3x - 6)° and arc AB measures (-4x)° .

We know that inscribed angle in a circle is 1/2 of the arc of tha angle.

ARc of AB =-4x

Inscribed angle = -3x-6

$2(-3x-6) =-4x\\x=-6$

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it's asking to write an equation in slope-intercept form for the line with slope -4 and y-intercept 7. then graph the line. plea

LuckyWell [14K]

Answer:

Equation = y = -4x+7

See the graph below

Step-by-step explanation:

The equation of the line in slope intercept form is expressed as;

y = mx+c

Given

slope m = -4

y-intercept c = 7

Substitute

y = -4x + 7

Get the x intercept.

at y = 0

0 = -4x + 7

4x = 7

x = 7/4

x = 1.75

The x coordinate (1.75, 0)

Get the y intercept

at x = 0;

y = -4(0)+7

y = 0+7

y = 7

The y coordinate is (0, 7)

5 0

3 years ago

The Wall Street Journal reports that the rate on three-year Treasury securities is 7.00 percent, and the six-year Treasury rate

Art [367]

Maturity risk for 3 year Treasury security is 0.1%

Explanation:

Given -

Rate of 3 year Treasury security, R3 = 7%

Rate of 6 year Treasury security, R6 = 6.2%

Rate of inflation, Ri = 2.25% next year, 2.5% on 2nd year, 2.5% on 3rd year

Real interest rate, Rint = 4.4%

Maturity risk on 3 year Treasury security, x = ?

Maturity risk for 3 year Treasury security:

R3 = Ri on 3rd year + Rint + x

7% = 2.5% + 4.4% + x

x = 0.1%

Therefore, Maturity risk for 3 year Treasury security is 0.1%

8 0

4 years ago

Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her frie

GarryVolchara [31]

Answer:

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Step-by-step explanation:

Let the cost:

1 cheese slice = c

1 pepperoni slice = p

Two friends are going to the mall to buy pizza.

One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.

c + 2p = $8.75.....Equation 1

c = $8.75 - 2p

Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.

2c + 3p = $15.00.....Equation 2

We substitute 8.75 - 2p for c in Equation 2

2(8.75 - 2p) + 3p = $15.00

17.5 - 4p + 3p = 15

Collect like terms

- 4p + 3p = 15 - 17.5

-p = -2.5

p = $2.5

c = $8.75 - 2p

c = $8.75 - 2(2.5)

c = $8.75 - 5.0

c = $3.75

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

6 0

3 years ago

There are approximately 7.7 billion humans on Earth. If the virus spreads beyond the 200-person town, how long will it be until

eimsori [14]

Answer:

25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that $P(1) = 2P(0)$

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+r)$

$1 + r = 2$

$r = 1$

$P(t) = P(0)*(2)^{t}$

200-person town

This means that $P(0) = 200$

$P(t) = P(0)*(2)^{t}$

$P(t) = 200*(2)^{t}$

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

$P(t) = 200*(2)^{t}$

$7700000000 = 200*(2)^{t}$

$2^{t} = \frac{7700000000}{200}$

$\log{2^{t}} = \log{\frac{7700000000}{200}}$

$t\log{2} = \log{\frac{7700000000}{200}}$

$t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}$

$t = 25.2$

25.2 weeks until everyone on the planet is infected

4 0

4 years ago

determine the diameter to the nearest inch of a large can of tuna that has a volume 6068 inches and a height of 3.3 inches

anyanavicka [17]

Answer:

The diameter of can is 48 inches.

Step-by-step explanation:

Given:

Volume of can = 6068 inches.

And height(h) = 3.3 inches.

Now, to find the diameter.

Diameter = 2 × radius

Let radius be $r.$

So, by putting the formula of volume we get the radius:

$Volume =\pi r^2h$

$6068=3.14\times r^2\times 3.3$ (taking the value of π=3.14)

$6068=10.362\times r^2$

Dividing both sides by 10.362 we get:

$585.60=r^2$

Using square root on both sides we get:

$24.199=r$

Radius = 24.199 inches.

Then, we get the diameter:

Diameter = 2 × radius

Diameter = 2 × 24.199 = 48.398 inches.

Diameter = 48 inches (rounding to nearest, inch as in the place of tenth it is 3 which is less than 5.)

Therefore, the diameter of can is 48 inches.

7 0

3 years ago