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2 years ago

Which of the following represents the most accurate estimation of 719 - 348?

Mathematics

2 answers:

irina [24]2 years ago

4 0

It is 400 hope this helps

umka21 [38]2 years ago

4 0

I think the correct answer is 400.

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How do i write an equation in vertex form?

Arte-miy333 [17]

Answer:

Step-by-step explanation:

1) Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.

2) The vertex of a parabola is the point at the top or bottom of the parabola.

3) 'h' is -6, the first coordinate in the vertex.

4) 'k' is -4, the second coordinate in the vertex.

5) 'x' is -2, the first coordinate in the other point.

8 0

2 years ago

In the figure, the measure of Angle 8 = 96 and the measure of Angle 12 =42. Find the measure of Angle 9.

r-ruslan [8.4K]

ANSWER: 84; Consecutive Interior Angles Theorem

6 0

2 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

Explain whether the following given sets are closed under addition:

Ivan

Answer:

Step-by-step explanation:

a) Yes.

$\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)$

b) Yes

$W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\$

c) Yes

$\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\$

d) No

$3\in V , 3+3=6\notin V\\$

7 0

2 years ago

Start with the equation 4·0=0 to explain why 4·−10 must equal −40 . Drag descriptions and equations to the table to complete the

seraphim [82]

If 4·10= 40 then 4·-10 would equal -40 bc a positive times a negative equals a negative.

Hope this helped!!

6 0

2 years ago