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3 years ago

Delia paid 79.44 for 4 picnic chairs.How much did Delia pay for each chair?

Mathematics

1 answer:

inna [77]3 years ago

6 0

Would simply divide 79.44 by 4

79.44/4= 19.86

B

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If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.

Aneli [31]

Answer: Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

$\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm$

Therefore

AO=BO=CO= 10 cm

Now

$OE = CO- CE \Rightarrow OE= 10 -4 = 6 cm$

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

$BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm$

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

$AB= 2\times BE = 2\times 8=16 cm$

Hence , the length of AB is 16 cm .

8 0

3 years ago

The total cost to fix your bike is $45. The parts cost

hoa [83]

Answer:

It took 5 hours

Step-by-step explanation:

45 = 10 + 7x

35 = 7x

5 = x

3 0

3 years ago

Will someone help me please

AnnZ [28]

Answer: C should be correct!

Hope it helps!

4 0

3 years ago

if a and b are acute angles such that sinA=4/5 and cosB=12/13, calculate, without using tables: sin(a-b)

kolbaska11 [484]

$\sin \alpha = \frac{4}{5} \\ \cos \alpha = \sqrt{1-\sin^2 \alpha }= \sqrt{1- \frac{16}{25} } = \sqrt{ \frac{9}{25} }= \frac{3}{5} \\ \\ \cos \beta = \frac{12}{13} \\ \sin \beta = \sqrt{1-\cos^2 \beta }= \sqrt{1- \frac{144}{169} } = \sqrt{ \frac{25}{169} }= \frac{5}{13}$

$\\ \\ \sin (\alpha- \beta ) =\sin \alpha \cos \beta -\cos \alpha \sin \beta = \frac{4}{5}\times \frac{12}{13}- \frac{3}{5}\times \frac{5}{13} = \frac{48}{65}- \frac{15}{65}= \frac{33}{65}$

Answer:
sin(α-β) = 33/65

7 0

3 years ago

Subtract using the number line

san4es73 [151]

The correct answer should be -2.

Because we're reducing - 1/3 by an additional 1 2/3, this makes it -2.

Let me know if you have any other questions :)

5 0

3 years ago