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2 years ago

What is 0.00000000472 estimated as the product of a single digit and a power of 10?

2 answers:

8 0

The power of 10 is equal to the numbers of 0;
$10^{-9} *472 = 4.72*10^{-11}$ ≈ $5* 10^{-11}$

Final answer: $5* 10^{-11}$

Vesnalui [34]2 years ago

5 0

$0\underbrace{.000000004}_{9\to}72=4.72\cdot10^{-9}$

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n △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP. Find the area of △ABC if the area of △BMP is

monitta

Answer: The area of ABC is 56 m².

Explanation:

It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.

Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.

$\frac{\text{Area of } \triangle BCP}{\text{Area of } \triangle ABC} =\frac{\frac{1}{2}\times BP\times CH}{\frac{1}{2}\times AB\times CH} =\frac{BP}{AB}= \frac{3}{4}$

Since the area of BPC is $\frac{3}{4}$ th part of total area, therefore area of APC is $\frac{1}{4}$ th part of total area.

The point M is the midpoint of CP, therefore the area of BMP and BMC is equal by midpoint theorem.

$\text{Area of } \triangle BMP=\text{Area of } \triangle BMC$

$21=\text{Area of } \triangle BMC$

Area of BPC is,

$\text{Area of } \triangle BPC=\text{Area of } \triangle BMP+\text{Area of } \triangle BMC$

$\text{Area of } \triangle BPC=21+21$

$\text{Area of } \triangle BPC=42$

Area of APC is,

$\text{Area of } \triangle APC=\frac{1}{3}\times \text{Area of } \triangle BPC$

$\text{Area of } \triangle APC=\frac{1}{3}\times 42$

$\text{Area of } \triangle APC=14$

Area of ABC is,

$\text{Area of } \triangle ABC=\text{Area of } \triangle APC+\text{Area of } \triangle BPC$

$\text{Area of } \triangle ABC=14+42=56$

Therefore, the area of ABC is 56 m².

5 0

3 years ago

LOROWANIE Solve the system using elimination. 3x + 10y = -4 2x + 2y = 2 ([?], [ ]

LUCKY_DIMON [66]

Answer:

x+y=10

x+y=10-3

x+y=7

xy²=7

answer 7

hope that helps

Step-by-step explanation:

Brainliest?

6 0

3 years ago

Select all of the expressions that are equivalent to 4√5

GenaCL600 [577]

The only expressions that are equal to 4√5 are

2√10
3 × 5^1/2 + 5^1/2
4 × 5^1/2

4 0

3 years ago

What is the slope of the line? Pls help! I’ll mark the brainliest

VLD [36.1K]

Answer:

m = -3

Step-by-step explanation:

Two poin on this line are (-2, 3) and (0, -3). Both points are formed where grid lines meet precisely.

The change in x as we go from (-2, 3) to (0, -3) is +2 and the change in y is -6. Thus, the slope of the line shown is m = rise/run = -6/2, or m = -3.

8 0

2 years ago

I need this awnser ASAP my homework is due in 10 minutes

vitfil [10]

Answer:

Step-by-step explanation:

a = 20(hypotenuse)

b = 12(leg)

z = ?

z= $\sqrt{a^2-b^2}$ = 16

4 0

2 years ago