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2 years ago

2.907*10^3 write in standard form

Mathematics

1 answer:

Alika [10]2 years ago

3 0

Answer:

2907

Step-by-step explanation:

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Mrs. Clark has a glass vase with a base shaped like a hexagon, as shown. The vase is 30 cm tall and the hexagon base has an area

Lisa [10]

Answer: The correct option is fourth, i.e., 1935 cm³.

Explanation:

It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².

The area of a hexagon base is,

$A=\frac{3\sqrt{3}} {2}a^2$

Where, a is the side length.

The volume of the a hexagon glass is,

$V=\frac{3\sqrt{3}} {2}a^2\times h$

$V=A\times h$

Where, A is area of base of hexagon and h is height of the hexagon glass.

$V=64.5\times 30$

$V=1935$

Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.

4 0

3 years ago

Read 2 more answers

PLASE ANSWER THIS QUESTION I GIVE YOU 18 POINTS

sukhopar [10]

Answer:

(a) 144

(b) 117

(d) 588

(e) 5472

Step-by-step explanation:

To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.

(a)

$72 = 2^3 \times 3^2$

$144 = 2^4 \times 3^2$

$LCM = 2^4 \times 3^2 = 8 \times 9 = 144$

(b)

$39 = 3 \times 13$

$117 = 3^2 \times 13$

$LCM = 3^2 \times 13 = 117$

(c)

$72 = 2^3 \times 3^2$

$90 = 2 \times 3^2 \times 5$

$LCM = 2^3 \times 3^2 \times 5 = 360$

(d)

$84 = 2^2 \times 3 \times 7$

$147 = 3 \times 7^2$

$LCM = 2^2 \times 3 \times 7^2 = 588$

(e)

$152 = 2^3 \times 19$

$288 = 2^5 \times 3^2$

$LCM = 2^5 \times 3^2 \times 19 = 5472$

6 0

2 years ago

Find −914+27. Write your answer as a fraction in simplest form.

vfiekz [6]

Answer:

- +=_

914-27=887

887 answer this fraction

5 0

3 years ago

the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers

earnstyle [38]

X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

3 0

2 years ago

Substitute the values of x and y into the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2. Match that value to one of the numbe

seropon [69]

X = 2, y = -1 Answer = -1
x = 0, y = 2.5 Answer = -11.25
x = -1, y = -3 Answer = 14
x = 0.5, y = -0.1 (one tenths) Answer = 0.44
x = 0.75 (three quarters), y = 0.4 (two fifths) Answer = 1.665
x = 1.41 (sqareroot of 2), y = 1.41 (sqareroot of 2) Answer = 9.17

I hope this helps!

5 0

3 years ago