Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answer:

x = 63.8°

Step-by-step explanation:

[tex]tan x = \frac{opposite}{adjacent} \\\\tan x = \frac{5.9}{2.9}\\\\x= tan^{-1} (\frac{59}{29})\\\\x = 63.82 = 63.8[/tex]

The measure of the angle [x] is equivalent to 26.6°.

Given is a triangle ΔPON as shown in the image.

From the triangle ΔPON, we can write -

tan (x°) = ON/OP

tan (x°) = (5.9/2.9)

tan (x°) = (59/29)

tan (x°) = 2.1

x° = tan⁻¹ (2.1)

x° = 26.6°

Therefore, the measure of the angle [x] is equivalent to 26.6°.

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Answer:

b = v

Step-by-step explanation:

3b = 6v – 3b

Add 3b to each side

3b+3b = 6v – 3b+3b

6b = 6v

Divide by 6

6b/6 = 6v/6

b = v

9514 1404 393

Answer:

  a) see attached

  b) 1/3

Step-by-step explanation:

Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)

Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:

  m = (rise)/(run) = 1/3 . . . slope of the line

===================================================

Explanation:

Check out the diagram below. I've drawn a horizontal line to split the orange region into two parts: a triangle on top and a rectangle down below.

The triangle has base 11 cm and height 7 cm. The area is base*height/2 = 11*7/2 = 77/2 = 38.5 sq cm.

The rectangle has area 11*8 = 88 sq cm.

The total area of the entire orange figure is 38.5+88 = 126.5 square cm

Answer:45

Step-by-step explanation:

This is the pythagorean theroem. So you would have sides a, b, and c, of the triangle.  

[tex]a^{2}+b^{2}=c^{2} so\\c^{2}-b^{2}=a^{2} \\53^{2}-28^{2}=a^{2} \\a^{2}=2025\\a= \sqrt{2025} =45[/tex]

Answer:

The answer is 45

Step-by-step explanation:

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  36

Step-by-step explanation:

Let the digits of the number be represented by t for the tens digit and u for the units digit.

  u = 2t . . . . . . . . the units digit is twice the tens digit

  2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse

Substituting for u, we have ...

  2(10t +2t) = 10(2t) +t +9

  24t = 21t +9 . . . . . . . . . . . collect terms

  3t = 9 . . . . . . . . . . . . . subtract 21t

  t = 3 . . . . . . . . . . . divide by 3

  u = 2t = 6 . . . . find u

The number is 36.

Answer:

(15+(3-6))x4

Step-by-step explanation:

1. 3-6 = -3

2. 15+-3 = 12

3. 12x4 = 48

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

Answer:

A

Step-by-step explanation:

Tangents that are both tangent to a same point equal each other. sk

[tex]2x + 70 = 128[/tex]

[tex]2x = 58[/tex]

[tex]x = 29[/tex]

Answer:

The negative sign is put before numbers to make them negative, or make their signs the opposite of what the are.

You have a 20.

+ 20

You don't need to put the + there if there is nothing before it, but that is a positive 20.

If you put a negative in front of it;

- (+ 20) = - 20

If you have a negative in front of parenthesis;

50 - (2x - 20)

50 - 2x + 20

70 - 2x

Answer: t=-8

Step-by-step explanation:

1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8

Answer:

30°

Step-by-step explanation:

because the sum of all interior angles in a triangle is 180 degrees

180°= ∡ADE+∡DAE+∡AED

∡ADE = 180°-∡DAE -∡AED

because the diagonals are perpendicular so they form 90° angles, and ∡BRC≅∡AED(vertical angles)

∡AED =90

To find ∡DAE we need to find the value of y

11y+2  =90

11y =90-2

y=88/11

y=8

∡DAE=7y+4=7 ·8 +4= 56+4 =60°

now we know what we need to find ∡ADE

∡ADE = 180°-∡DAE -∡AED

∡ADE = 180°-60° -90°

∡ADE = 30°

Answer:

400 total .... 120 officers

Step-by-step explanation:

.7 X = 280

x=400

Answer:

30% of 280 is 84.

What I did to find the answer was multiply 280 by 3 then divide by 10.

I checked it with a calculator and got the same result being 84.

Answer:

$9,763

Step-by-step explanation:

Using the compund interest formula;

A = P(1+r)^t

A is the amount = $10,200

rate r = 6.5%= 0.065

time t = years

n = 1/365 ((daily compounding)

Substitute into the formula and get Pincipal P

10,200 = P(1+0.065(365))^5/365

10200 = P(1+23.725)^0.01369

10200 = P(24.725)^0.01369

10200 = P(1.0448)

P = 10200/1.0448

P = 9,762.6

Hence the amount invested is $9,763 to nearest dollars

Answer:

x = 25

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

2x+10 + 4x+20 = 180

Combine like terms

6x+30 = 180

Subtract 30 from each side

6x+30-30 = 180-30

6x = 150

Divide by 6

6x/6 = 150/6

x=25

Answer:

x = 2

Step-by-step explanation:

[tex] log_{3}x(x+ 30) = log_{3}64 \\ x(x + 30) = 64 \\ {x}^{2} + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32[/tex]

-32 is rejected because in logarithms you cannot use negative value so x=2

Answer:

∠ BOC = 40°

Step-by-step explanation:

∠ AOC = 90° , then

5x + 2x + 20 = 90

7x + 20 = 90 ( subtract 20 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10

Then

∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°

Answer:

v = 16

Step-by-step explanation:

p = 8/v and p = 1/2.  Equating these two, we get 8/v = 1/2.

Inverting both sides, we get v/8 = 2.

Find the vaue of v by multiplying both sides by 8:  v = 16

Step-by-step explanation:

Circumference is

2 x pi x r

r= 1

plug and chug

Answer:

Step-by-step explanation:

according to the question ur algebraic expression is

8-w

The algebric function will be 8-w

Answer:

Step-by-step explanation:

We can assign variables as:

d  = original breaking distance

b  = original speed of the vehicle

d′  = increased breaking distance

b′  = increased speed of the vehicle

We can look at it this way, originally it was like this:

d=kb2  

Now, if we increase the speed to b’ which 200% more than b, we will have

d′=k(b′)2  

d′=k(b+2b)2  

d′=k(3b)2  

d′=9kb2  

Obtaining the difference between d and d’, we have

d′−d=9kb2−kb2  

d′−d=8kb2  

in terms of d

d′−d=8(kb2)  

d′−d=8d  

Adding d on both sides of the equation,

d′=d+8d  

Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.

Hope this answer helps you :)

Have a great day

Mark brainliest

There is a 100% increase in the braking distance after 50% increase in speed.

A body is said to be of speed v m/s if it travels v meter per second.

The braking distance of a car is directly proportional to the velocity of its speed(v m/s)

When the speed of the car is increased by 50% then the speed of the car v m/s becomes (3v/2) m/s.

The braking distance of a car is directly proportional to the square of its speed hence, the braking distance becomes

v²c where c is some constant.

So, the braking distance after 50% of the car speed is increased becomes  (3v/2)²c₁, where c₁ is some constant.

Hence, the percentage change in the car's braking distance is

[tex]\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}}[/tex]

[tex]=\frac{\frac{9-6}{4}}{\frac{3}{2}}\\=1[/tex]

That means there is a 100% increase in the braking distance after 50% increase in speed.

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Answer:

[tex]A = 43.0^o[/tex]

[tex]B = 55.0^o[/tex]

[tex]BC = 20.0[/tex]

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

[tex]\angle C =82^o[/tex]

[tex]AB = 29[/tex]

[tex]AC = 24[/tex]

Required

Solve the triangle

First, we calculate [tex]\angle B[/tex] using sine law:

[tex]\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}[/tex]

This gives:

[tex]\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}[/tex]

[tex]\frac{24}{\sin(B)} = \frac{29}{0.9903}[/tex]

Cross multiply

[tex]\sin(B) * 29 = 24 * 0.9903[/tex]

[tex]\sin(B) * 29 = 23.7672[/tex]

Divide both sides by 29

[tex]\sin(B) = 0.8196[/tex]

Take arcsin of both sides

[tex]B = \sin^{-1}(0.8196)[/tex]

[tex]B = 55.0^o[/tex]

Next, calculate [tex]\angle A[/tex] using:

[tex]A + B + C = 180^o[/tex] --- angles in a triangle

[tex]A + 55^o + 82^o = 180^o[/tex]

Collect like terms

[tex]A = 180^o-55.0^o - 82^o[/tex]

[tex]A = 43.0^o[/tex]

Next, calculate BC using sine laws

[tex]\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}[/tex]

This gives:

[tex]\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}[/tex]

[tex]\frac{BC}{0.6820} = \frac{29}{0.9903}[/tex]

Make BC the subject

[tex]BC = \frac{29*0.6820}{0.9903}[/tex]

[tex]BC = 20.0[/tex]

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200

Answer:

8

Step-by-step explanation:

7779.949783~7779.94978

Answer:

The missing digit is 8

Step-by-step explanation:

An educated guess, but i'm pretty sure it's right

Answer:

Let's imagine the image of the zoo.

The diameter is basically the length of the circle.

The penguin swam the radius.

To find the radius, we need to divide the diameter by 2.

The diameter is 20 meters.

20 [tex]\div[/tex] 2 = 10 meters.

2 x pi x 10 = 62.83185307

62.83185307/2 = 31.41592654

Answer = 31.41592654

Answer:

The distance through which penguin swim = 10π meters

Step-by-step explanation:

The island is given to be in a shape of circle and the distance around any circle is known as circumference.

The diameter of the island = 20 meters

So, to find the distance traveled by penguin we need to find the circumference or the circular island.

⇒ Circumference = π·diameter

⇒ Circumference = π × 20

                             = 20π meters

Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.

Distance traveled by penguin = 1/2 × 20π = 10π

The distance through which penguin swim = 10π meters

Answer:

c {2, 15, 21, 24}

Step-by-step explanation:

The domain is the input values

Domain {2,15,21,24}

Answer:

True.

Step-by-step explanation:

first solid

A=72

second solid

A= 72

Answer:

True

Step-by-step explanation:

Both the surface areas = 72.