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3 years ago

4.05 LC)

Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Answer:

Step-by-step explanation:

we know this because it is the only part of the graph that is moving downwards, meaning its decreasing. P is an example of increasing, Q is 'neutral' and s is also increasing.

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two angles are a linear pair. the measure of the first angle minus 39 is equal to twice the measure of the second angle. What ar

baherus [9]

Step-by-step explanation:

Linear pairs = 180°!!!!!

1st angle is 2[x]-39 2nd angle is just x
soooo add the x. 3x-39=180
3x=141 x=47

X is just the second angle!!!!!

lol. i toonk geo last year and i cant believe i still remember all this hopefully i got it right!

8 0

3 years ago

A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes

Alenkinab [10]

The relationship between the sides MN, MS, and MQ in the given regular heptagon is $\dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}$

The area to be planted with flowers is approximately 923.558 m²

The reason the above value is correct is as follows;

The known parameters of the garden are;

The radius of the circle that circumscribes the heptagon, r = 25 m

The area left for the children playground = ΔMSQ

Required;

The area of the garden planted with flowers

Solution:

The area of an heptagon, is;

$A = \dfrac{7}{4} \cdot a^2 \cdot cot \left (\dfrac{180 ^{\circ}}{7} \right )$

The interior angle of an heptagon = 128.571°

The length of a side, S, is given as follows;

$\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}$

$s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69$

$The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52$

The area of the heptagon MNSRQPO is therefore;

$A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94$

$MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times 21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08$

By sine rule, we have

$\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}$

$sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})$

$\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}$

∠MSQ = 128.571 - 2*23.18 = 82.211

The area of triangle, MSQ, is given as follows;

$Area \ of \Delta MSQ = \dfrac{1}{2} \times 43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}$

The area of the of the garden plated with flowers, $A_{req}$ , is given as follows;

$A_{req}$ = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

Therefore;

$A_{req}$ = 1,842.94 - 919.382 ≈ 923.558

The area of the of the garden plated with flowers, $A_{req}$ ≈ 923.558 m²

Learn more about figures circumscribed by a circle here:

brainly.com/question/16478185

6 0

3 years ago

maxwell borrows 1,000 to repair his car at 9% interest if he pays the loan back over the next 1.5 years how much does he pay bac

worty [1.4K]

is interest per 1 year? if so:

interest per year=9%×1000

=90

interest for .5 years=90÷2

=45

1000+90+45=1135

Ans: 1135

6 0

3 years ago

Read 2 more answers

The yearly expenses for the Glenn family are represented in the circle graph. The Glenn’s have just purchased a new car. A new c

tiny-mole [99]

Answer:

Car: 18.4% Other: 4.9%

Step-by-step explanation:

Glenn family yearly total expenses are

$\$8,600+\$4,800+\$5,400+\$2,400+\$7,000+\$1,800=\$30,000$

Other expenses are $7,000.

The payments for the new car are: $375.00 per month and the insurance for the new car $85.00 per month, in total, $460 per month. Yearly expenses for car are

$\$460\cdot 12=\$5,520$

Now, the expenses for the following two categories are

Car - $5,520

Other - $7,000 - $5,520 = $1,480

Percentage:

Car:

$\dfrac{5,520}{30,000}\cdot 100\%=18.4\%$

Other

$\dfrac{1,480}{30,000}\cdot 100\%\approx 4.93\%$

4 0

3 years ago

Find the solutions of each equation on the interval (SHOW WORK)

Norma-Jean [14]

im not in collage but I'll try ok so its most likely

Factor then solve to find the complex solutions.

x=2πn, for any integer n

if i was right could i get brainly?

8 0

1 year ago