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4 years ago

445 rounded to the nearest 100 is

Mathematics

2 answers:

marta [7]4 years ago

8 0

445 rounded to the nearest 100 is 400

Vlad [161]4 years ago

6 0

Its 400 ..... hope that helps :)

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Is this a function help i wasnt paying attention in class.

inn [45]

Every input(x) has only one output(y)
Emily and Marie can’t have the same birthday in this so it’s not a function

8 0

3 years ago

Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

3 years ago

Mrs. Giuntini’s lawn is triangle shaped with a base of 25 feet and a height of 10 feet. What is the area of Mrs. Giuntini’s lawn

Vedmedyk [2.9K]

$area \: = \frac{1}{2} bh \\ area \: = \frac{1}{2} (25)(10) \\ area = \frac{1}{2} 250 \\ area = 125 \: feet ^{2}$

4 0

3 years ago

Read 2 more answers

What is f(g(x)) when f(x) = x2 + 5, and g(x) = 10 - 5x?

Mashutka [201]

Answer:

Step-by-step explanation:

To obtain f(g(x)) substitute x = g(x) into f(x), that is

f(10 - 5x)

= (10 - 5x)² + 5 ← expand (10 - 5x)²

= 100 - 50x - 50x + 25x² + 5 ← collect like terms

= 25x² - 100x + 105 → D

5 0

3 years ago

Find the perimeter of the triangle

vredina [299]

We can find the area of the big triangle, and subtract it from the small 4 x 2 triangle.

bh/2
3*8/2
12

bh/2
2*4/4
4

12 - 8
4 unit²

To find the perimeter:
a² + b² = c²
9 + 64 = c²
73 = c²
√73 = c

√73 + 3 + 8 + 2 + 4
√73 + 17

Hope this helps!

4 0

3 years ago

Read 2 more answers