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3 years ago

The sum of two consecutive numbers is 31. Let x = the smaller number. Which let statement would you use for the larger number?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

7 0

Answer:

Let (x+1) = the larger number

Step-by-step explanation:

Two consecutive numbers differ by 1. The larger is 1 more than the smaller. The expression for 1 more than x is (x+1).

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Find M< NML ANSWER -156 78 162 81

seraphim [82]

Answer:

156

its 156 owo

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3 years ago

Latex-free gloves can be purchased in a box of 100 for $44.95 or a box of 50 for $23.50. Which one would be the better deal

8090 [49]

I believe that a box of 50 for $23.59 would be a better deal because 23.50 divided by 50 would equal 0.47, or in this case, 47 cents. 44.95 divided by 100 equals 0.4495, or 4495 cents. I think I'm wrong, but you can take this answer if you'd like

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4 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

135° Solve for <2. 62 = [?] 45° &2 86° Enter

andrey2020 [161]

Answer:

$\displaystyle \angle2 = {49}^{ \circ}$

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

$\displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ}$

cancel out 86° from both sides:

$\displaystyle \angle2 = {49}^{ \circ}$

hence,

the measure of the missing angle is 49°

6 0

3 years ago

Read 2 more answers

Explain how you can tell that 31/33 is in simplest form

shtirl [24]

Well 31 is not able to go any were and it has to stay 31

3 0

3 years ago

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