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2 years ago

How much larger is 8 x 10^8 than 2 x 10^5

Mathematics

2 answers:

Lelu [443]2 years ago

8 0

Answer: 799800000

Step-by-step explanation: For 8 x 10^8, do 10 x 10 x 10 10 x 10 x 10 10 x 10 to get 100,000,000 and x 8 is 800,000,000

For 2 x 10^5 do 10^5 ( 10 x 10 x 10 x 10 x 10) which is 100,000 and then x 2 is 200,000

Then subtract.

800,000,000 - 200,000 is 799800000

inna [77]2 years ago

3 0

Answer:

799800000 larger

Step-by-step explanation:

8 × (10 × 8) = 800000000

2 × (10 × 5) = 200000

So . . Subtract

800000000 - 200000 = 799800000

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Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

A ruler cost x pence. A pen costs 10 pence more than the ruler. Write an expression, in terms of x, for the cost of a pen .

cupoosta [38]

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

5 0

3 years ago

Write an equation models the following statement: 17 less than h equals 42

8_murik_8 [283]

Answer:

17 < h = 42

Step-by-step explanation:

Hoped this helped! :)

we cannot have a negative number for x (its against the laws of math), so the domain would be all non-negative numbers

8 0

4 years ago

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best inte

stellarik [79]

Let

s--------> the length side of the cube

we know that

the volume of the cube is equal to

$V(s)= s^{3}$

if the length side s is equal to $2\ feet$

then

$s=2\ feet$

and the volume is equal to

$V(2)= 2^{3}$

$V(2)= 8\ feet^{3}$

therefore

the answer is the option

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.

5 0

3 years ago

Read 2 more answers

In a toy store, the ratio of the number of teddy bears to the number of dolls is 3 font size decreased by 5 : font size decreas

pentagon [3]

There are 160 dolls in the store.

Explanation

The ratio of the number of teddy bears to the number of dolls is given as $3:8$

Suppose, the number of teddy bears $=3x$ and the number of dolls $=8x$

Given that, the store has 60 teddy bears. That means....

$3x=60$

$\frac{3x}{3}=\frac{60}{3}$ (Dividing both sides by 3)

$x=20$

So, the number of dolls in the store $=8x=8*20=160$

7 0

3 years ago