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2 years ago

Can someone pls help me with this?

Mathematics

1 answer:

frozen [14]2 years ago

5 0

Answer:

See below.

Step-by-step explanation:

slope of the dotted line: m = (-3 - 5)/(0 - 8) = 1

slope of second line (perpendicular to dotted line): -1

The bold line (second side) has slope -1 and passes through point (-4, 9).

y = mx + b

9 = -1(-4) + b

9 = 4 + b

b = 5

Equation of bold line: y = -x + 5

The third side of the rectangle is parallel to the dotted line and contains point (-4, 9). slope = 1

y = mx + b

9 = 1(-4) + b

9 = -4 + b

b = 13

Equation of third side: y = x + 13

The third side lies on a line that is parallel to the dotted line, so its slope is the same as the slope of the dotted line. The third side contains point (-4, 9). We use the equation y = mx + b and substitute -4 and 9 for x and y, respectively. Then we solve for b.

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Which unit would probably be used to measure how long a cell phone is?

rodikova [14]

Answer:

Mostly millimeter

Step-by-step explanation:

Length has several unit like m,cm, mm, feet, miles, inches, km etc

we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.

4 0

2 years ago

Please help! Will give brainliest if you do both. Only 9 and 12

guajiro [1.7K]

Answer:

Answers below

Step-by-step explanation:

9a. Meg needs to find the Part because she knows the whole is 16 and the percent is 50%

9b. Steve needs to find the percent because he knows the part is 7 and the whole is 35.

12. Find 4% of 40 for the sales tax

0.04*40=1.6

Therefore the sales tax is $1.6

6 0

2 years ago

A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what

grandymaker [24]

Answer:

i. 70%

ii. 70%

Step-by-step explanation:

Since in the question, it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas

i. Now if half ordered tacos that means out of these 30 orders enchiladas.

since 30 ordered tacos that means 70% ordered enchiladas

ii. Now for 3 by 4 we have to assume the number of people who ordered only enchiladas be x

So,

For both, it would be 0.75 x

And, the number of people who did not order is 40 as 60 tacos are ordered by people

So, the percentage is

= 40 × 0.75 + 40

= 30 + 40

= 70%

6 0

2 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

A right rectangular prism has these dimensions:

Andreyy89

I believe the volume would be 0.74^3

7 0

3 years ago