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3 years ago

Identify a diameter of circle E. A) AC B) HI C) EB D) GF

Mathematics

1 answer:

mash [69]3 years ago

5 0

Answer:

B) HI

Step-by-step explanation:

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A poll showed that of the 108 people at the park, 1 9 of them had at least one pet. How many of the people at the park had at le

goblinko [34]

12 because 1/9 of 108 is 12

8 0

3 years ago

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J/3+5=9? im confused on it

Vinvika [58]

Answer:

j=12

Step-by-step explanation:

j/3+5=9

x3 x3

j+15 = 27

-15 -15

j=12

4 0

4 years ago

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Mr. Smith's $85,000 condominium is assessed at 35% of value. The tax rate is $2.70 per $100 of value. If the tax increases $.35

wel

Answer:

$907.38

Step-by-step explanation:

We have been given that Mr. Smith's $85,000 condominium is assessed at 35% of value.

First of all, we will find 35% of $85,000 as shown below:

$\frac{35}{100}\times \$85,000$

$35\times \$850$

$\$29,750$

We are also told that the tax rate is $2.70 per $100 of value. Now we will divide $29,750 by 100 as:

$\frac{\$29,750}{\$100}=297.50$

Since the tax rate is increased by $0.35 per $100 of value, so the new tax rate will be $2.70 plus $0.35.

$\text{New tax rate}=\$3.05$

$\text{Amount of new tax}=\$3.05\times 297.50$

$\text{Amount of new tax}=\$907.375$

$\text{Amount of new tax}\approx \$907.38$

Therefore, Mr. Smith's new tax will be $907.38.

4 0

3 years ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

4 0

2 years ago

What is the sum of 6 and 7/8+ 4 and 5/8

Reptile [31]

THE ANSWER IS 11 AND 1/2

so explanation
6 and 7/8+4 and 5/8=6+7/8+4+5/8=6+4+7/8+5/8=10+(7+5)/8=10+12/8=10+1+4/8=11+4/8=11+1/2

THE ANSWER IS 11 AND 1/2

8 0

3 years ago

Read 2 more answers