Make q the subject of the formula 2(5q^2+1)=c

The perimeter of a rectangular playgroundis 46m. If the length of the park is 7m, what is the width of the park ?

Vikki [24]

Answer:

32

Step-by-step explanation:

7m + 7m = 14m

46m - 14m = 32m

4 0

2 years ago

Please help with geometry. 20 points, and another question worth 98 on my profile!

vovikov84 [41]

Answer:

Part 1) m∠1 =(1/2)[arc SP+arc QR]

Part 2) $PR^{2} =PS*PT$

Part 3) PQ=PR

Part 4) m∠QPT=(1/2)[arc QT-arc QS]

Step-by-step explanation:

Part 1)

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

we have

m∠1 -----> is the inner angle

The arcs that comprise it and its opposite are arc SP and arc QR

so

m∠1 =(1/2)[arc SP+arc QR]

Part 2)

we know that

The Intersecting Secant-Tangent Theorem, states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

so

In this problem we have that

$PR^{2} =PS*PT$

Part 3)

we know that

The Tangent-Tangent Theorem states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments

so

In this problem

PQ=PR

Part 4)

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In this problem

m∠QPT -----> is the outer angle

The arcs that it encompasses are arc QT and arc QS

therefore

m∠QPT=(1/2)[arc QT-arc QS]

4 0

2 years ago

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 14 ft wide.

expeople1 [14]

rounded part is a semicircle so the area for that is the area of a circle ÷ 2

so

area of the rectangle + (area of the circle ÷ 2) = answer

24 * 14 = 336 = area of the rectangle

14 ÷ 2 = r

(pi * 7^2) ÷ 2

(pi * 49) ÷ 2 = 153.86 ÷ 2 = 76.93 = area of semicircle

336 + 76.93 = 412.93 ft^2 = answer

6 0

2 years ago

Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupo

grin007 [14]

The dress pants cost 40 bucks....the coupon for the dress pants is y percent off the dress pants...

so the part of the expression that represents the percent that skylar will pay for the dress pants is : (1-y)40

5 0

2 years ago

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The GCF of the numbers in the expression (55 + 44) is _____. The numbers left inside the parentheses after factoring out the GCF

Alenkinab [10]

55=5*11
44=4*11
gcf=11

11(5)+11(4)=11(5+4)

the numbers inside are 5 and 4

The GCF of the numbers in the expression (55 + 44) is 11. The numbers left inside the parentheses after factoring out the GCF are 5 and 4.

8 0

3 years ago

Read 2 more answers