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3 years ago

12

What is congruent figure?

2 answers:

Lady bird [3.3K]3 years ago

7 0

Answer: 2 figures or objects that have to same shape AND size

Step-by-step explanation:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

'Two polygons are congruent if they are the same size and shape. If their corresponding angles and sides are equal. '

Step-by-step explanation:

Two shapes that have turned that are same.

$congruent = same$

Hope this will help you :))

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$

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2 years ago

Write the number name for 43,080,700

Likurg_2 [28]

Forty three million, eighty thousand, seven hundred

5 0

3 years ago

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andreyandreev [35.5K]

Answer:

Q1.

a. three hundred sixty-four thousand eight hundred twenty-five

b. one hundred forty-three

c. nine hundred four thousand three hundred six

d. seven million twenty

e. fifty-six million thirty thousand one hundred twenty-three

f. six thousand twenty-four

g. two hundred four

h. six hundred seventy-four thousand one

i. nine hundred sixty-two thousand three hundred forty-two

Q2.

a. 5000000

b. 1000004

c. 60000203

d. 1311

e. 286

f. 34503271

g. 844536

h. 3748

i. 125064

j. 4605231

5 0

2 years ago

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0

2 years ago

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A high school athletic department bought 40 soccer uniforms at a cost of $4,000. After soccer season, they returned some of the

Gekata [30.6K]

$60 is the answer to this question

6 0

2 years ago

Read 2 more answers