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3 years ago

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(1 pt) Lucas cut a board that is ft long and ft wide. What is the area of the board? Express your answer in simplest form. A. sq

ft B. sq ft C. sq ft D. sq ft

1 answer:

lions [1.4K]3 years ago

7 0

B.is the answers :)(:

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Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster

Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

---------- + ----------- = 1

r2 + 9 r2

The LCD here is r2(r2 + 9). Thus, we have:

20r2 (r2 + 9)(r2)

------------------- = 1 or ------------------

(r2 + 9)(r2) (r2 + 9)(r2)

Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0

3 years ago

In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.

ycow [4]

Answer:

84°

Step-by-step explanation:

∠VTY is the tangent chord angle

Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

Inscribed angle is the half of the intercepted arc

<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>

∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

m∠T = m∠V = 48°

<u>The measure of angle S</u>

m∠S = 180° - 2*48° = 84°

<u>The required angle</u>

m∠VTY = 84°

4 0

3 years ago

Read 2 more answers

A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and

Liono4ka [1.6K]

9514 1404 393

Answer:

83 m

Step-by-step explanation:

The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...

8.26(10 m) = 82.6 m ≈ 83 m

_____

The distance formula will tell you the distances are ...

AC = √(3² +1²) = √10

BD = √(5² +1²) = √26

The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.

3 0

3 years ago

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Ostrovityanka [42]

We have that an inverse variation in a function is given by:
$y = k / x
$
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
$15 = k / 12
$
Clearing k we have:
$k = (15) * (12)

k = 180$
Substituting the value of k we have that the inverse variation is:
$y = 180 / x
$
For y2 = 3 we have:
$3 = 180 / x2
$
Clearing x2 we have:
$x2 = 180/3$
$x2 = 60$
Answer:
$x2 = 60$

3 0

3 years ago

A park has a large circle painted in the middle of the playground area.thecircle is divided into 4 equal sections And each secti

lilavasa [31]

Answer:

The area of each section of the circle is $25\pi\ m^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=10\ m$

substitute

$A=\pi (10^{2})=100\pi\ m^{2}$

To find the area of each section divide the complete area of the circle by $4$

so

$100\pi\ m^{2}/4=25\pi\ m^{2}$

8 0

3 years ago