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3 years ago

SUBIREF

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

Answer:

it is 0

Step-by-step explanation:SUBIREF

No.

Date

[

If åt b ta = 0 andla 1:6. Iblase

and tal=jul Rnd the angles of and

po

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Name the postulate or theorem, 50 points please help!

max2010maxim [7]

Hi!

When you use postulates and theorems, you need to make sure to only use the given information that you know. Look for the given statements, and congruence marks on the figure. Those are also considered given.

By looking, you are given an angle and a side. The side comes first. SU=TV.

So, that makes it so Side-Angle-Side would be the best option.

I hope this helps!

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4 years ago

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To divide the sector into two congruent sectors we can use the _________________ construction. A) angle bisector B) copy and ang

12345 [234]

Answer:

Option A) angle bisector

Step-by-step explanation:

Angle Bisector:

An angle bisector is a line that divides an angle into two equal parts.
The angle bisector divide the angle in two equal parts.
An angle bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.
It cuts the angle into half.
Thus, a sector can be divided into two equal sectors by drawing an angle bisector.

To divide the sector into two congruent sectors we can use the angle bisector construction.

Thus, the correct answer is

Option A) angle bisector

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3 years ago

Find the measure of angle b if angle a is 22 degrees and the whole angle is 300 degrees

Dima020 [189]

Answer:

$a = 278^{\circ}$

Step-by-step explanation:

Given

$b = 22^{\circ}$

$Whole\ Angle = 300^{\circ}$

Required

Find the measure of a

Since there is no diagram to support the question, we'll assume that:

$a + b = Whole\ Angle$

This gives:

$a + 22^{\circ} = 300^{\circ}$

Subtract 22 from both sides

$a + 22^{\circ}-22^{\circ} = 300^{\circ}-22^{\circ}$

$a = 300^{\circ}-22^{\circ}$

$a = 278^{\circ}$

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3 years ago

John, Sally, and Natalie would all like to save some money. John decides that it would be best to save money in a jar in his clo

Radda [10]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2) $y=100x+300$

Part 3) $\$12,300$

Part 4) Is a exponential growth function

Part 5) $A=6,000(1.07)^{t}$

Part 6) $\$11,802.91$

Part 7) Is a exponential growth function

Part 8) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 9) $\$13,591.41$

Part 10) Natalie has the most money after 10 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

$y=mx+b$

The slope is equal to

$m=\$100\ per\ month$

The y-intercept or initial value is

$b=\$300$

$y=100x+300$

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

$y=100x+300$

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

10 years=10(12)=120 months

For x=120 months

substitute in the linear equation

$y=100(120)+300=\$12,300$

Part 4) What type of exponential model is Sally’s situation?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$P=\$6,000\\ r=7\%=0.07\\n=1$

substitute in the formula above

$A=6,000(1+\frac{0.07}{1})^{1*t}$

$A=6,000(1.07)^{t}$

therefore

Is a exponential growth function

Part 5) Write the model equation for Sally’s situation

$A=6,000(1.07)^{t}$

see the Part 4)

Part 6) How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{10}=\$11,802.91$

Part 7) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function

Part 8) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 7)

Part 9) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

Part 10) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

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3 years ago

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True or false ......

adelina 88 [10]

Answer:

false

Step-by-step explanation:

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3 years ago