A 40 feet table extends from the top of an electric tower to the ground. If the cable form 60° angle with the ground, how tall is the tower? Round to the nearest whole number

Answer:

1) 75

2) 63

Ask if you want more

Step-by-step explanation:

Answer: (In order)75,63,20,55,23,17

Please give me the brainiest this took so long

Step-by-step explanation:

47+58= 105

180-105= 75

1st problem- x= 75

96+21= 117

180-117= 63

2nd problem- x= 63

90+31+3x-1=180

90+31+(-1)= 120

180-120=60

3x=60

÷3  ÷3

3rd problem- x=20

21+34=55

180-55=125

4th problem- x=55

80+2x+3+51

80+3+51=134

180-134=46

2x=46

÷2   ÷2

5th problem- x=23

180-94=86

86+60+2x=180

86+60=146

180-146=34

2x=34

÷2   ÷2

6th problem- x=17

Answer:

[tex] - 2 {x}^{2} - 8x - 5[/tex]

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

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Answer:

28.26 inches

Step-by-step explanation:

Answer: 30%

Step-by-step explanation:

Answer:

Angel read 30% of the book

Step-by-step explanation:

Hope this helps :D

Answer:

24

Step-by-step explanation:

Answer:

So if you are in middle school like me, they are asking for an equation answer, and that equation is 4 divided by 2/5 = _ and _ x 2/5 = 4

Step-by-step explanation:

Step-by-step explanation:

[tex] \underline { \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline { \text{To\: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

☥ [tex] \boxed{ \sf{Discount \: amount = Discount \: \% \: of \: Marked \: price}}[/tex]

⟼ [tex] \tt{20\% \: of \: 18}[/tex]

⟼ [tex] \tt{ \frac{20}{100} \times 18}[/tex]

⟼ [tex] \tt{ \$ \: 3.6 \:}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \$ \: 3.6}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

$25,500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 15000 × 0.07 × 10 = 10500

I = $ 10,500.00

The simple interest accumulated

on a principal of $ 15,000.00

at a rate of 7% per year

for 10 years is $ 10,500.00.

Answer:

Is 6x and 4x+2 equivalent

? No!

Step-by-step explanation:

6x doesn't equal 4x+2

In order for them to be the same you would have to add the same terms example:

4x+2x would equal 6x

Extra explaining:

The only way for those term to be added would be if they had the same variable since only 4x has a variable the 2 cant be added. In math you CANNOT move your variables off of a number and add them back on after.

Answer:

$12.99n + $14.99s = $60

Step-by-step explanation:

The system of inequalities is n ≥ 1 and s ≥ 1  would represent this situation.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let n represent the number of nail boxes and s represent the number of screw boxes.

Nails will cost $12.99 if the price per box is $12.99.

In a similar vein, if a screw costs $14.99 a box, then s screws will also cost $14.99.

The carpenter can purchase n nails and s screws for a total of $60.

12.99n + 14.99 ≤ 60

Also, Since the carpenter needs to buy both nails and screws, it is necessary to buy at least 1 box of each of the two materials.

Therefore, the system of inequalities is n ≥ 1 and s ≥ 1  would represent this situation.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

za=24

Step-by-step explanation:

supplementary angles add up to equal 180

180=7x+x+30+6

step 1 combine like terms

180=8x+36

step 2 subtract 36 from each side

144=8x

step 3 divide each side by 8

x=18

now we just plug in 18 to x in x+6

18+6=24

Answer:

24°

Step-by-step explanation:

The sum of supplementary angles is 180°.

Thus, we can set up our equation as:

(x + 6) + (7x + 30) = 180

Combine like terms.

8x + 36 = 180

Isolate the variable by subtracting 36 from both sides.

8x = 144

Divide both sides by 8.

x = 18

Now, let's revisit the equation for m∠ZA, and plug in our x.

((18) + 6)°

24°

Answer:

6

Step-by-step explanation:

A=hbb/2

9·6/2

=27

Answer:

0.643

Step-by-step explanation:

Given that :

{1,2,3,4,5,6,7,8,9,10,11,12,13,14}

Multiples of 2 : 2, 4, 6, 8, 10, 12, 14

Multiples of 3 : 3, 6, 9, 12

P(multiples o

(Multiples of 2 n multiples of 3) = {2,3,4,6,8,9,10,12,14} = 9

Probability = required outcome / Total possible outcomes

Hence,

P(multiple of 2 or 3) = 9 / 14 = 0.643

Answer:

Divide both side by 9

Step-by-step explanation:

Answer:

It is 35

Step-by-step explanation:

34+1=35

Happy to help

Answer:

Step-by-step explanation:

Members not using stepper or treadmill:

38% of 400 is:

Amount of interest after 2 years:

Total number of students in the poll is 150

Students choosing tacos and corn dogs:

24% in number:

Note. It says "how many more students" but its not applicable as there is nothing to compare. Consult this with your teacher.

Normal cost of television = $500

Reduced cost = $350

Cost reduction:

Percent reduction:

Given:

The system of equations is

[tex]3y=\dfrac{3}{2}x+6[/tex]

[tex]\dfrac{1}{2}y-\dfrac{1}{4}x=3[/tex]

To find:

The solution of the given system of equations.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]3y=\dfrac{3}{2}x+6[/tex]               ...(i)

[tex]\dfrac{1}{2}y-\dfrac{1}{4}x=3[/tex]            ...(ii)

Rewritten the given equation in slope intercept forms.

In equation (i), divide both sides by 3.

[tex]y=\dfrac{1}{2}x+2[/tex]

Slope of this line is [tex]\dfrac{1}{2}[/tex] and y-intercept is 2.

In equation (ii), multiply both sides by 2 and isolate y variable.

[tex]y-\dfrac{1}{2}x=6[/tex]

[tex]y=\dfrac{1}{2}x+6[/tex]

Slope of this line is [tex]\dfrac{1}{2}[/tex] and y-intercept is 6.

Since slopes of both lines are same but the y-intercepts are different, therefore, the lines are parallel and the system of equations have no solution.

Therefore, the correct option is c.

Answer:

55/200 or real

Step-by-step explanation:

if you divide 55 by 200 you get .275. A real number is a number that is positive and above 0

Answer:

Rational

Step-by-step explanation:

0.275 is a rational number

Answer:

193 gallons

Step-by-step explanation:

Given

[tex]A(t) = 30+8t-\frac{2}{3}(t+1)^{\frac{3}{2}}[/tex]

Required

Determine the maximum amount of water the tank can hold --- Missing from the question

Start by differentiating A w.r.t t

[tex]A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}][/tex]

Solving: [tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}[/tex]

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -\frac{2}{3}\frac{d}{dt}[(t+1)^{\frac{3}{2}}[/tex]

Apply power rule:

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -\frac{2}{3}[\frac{3}{2}(t + 1)^{\frac{3}{2}-1} * \frac{d}{dt}[t+1][/tex]

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * \frac{d}{dt}[t+1][/tex]

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * [1+0][/tex]

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * [1][/tex]

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1}[/tex]

[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{1}{2}}[/tex]

So:

[tex]A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}][/tex]

A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}]

[tex]A'(t) = 0 +8 -(t + 1)^{\frac{1}{2}}[/tex]

[tex]A'(t) = 8 -(t + 1)^{\frac{1}{2}}[/tex]

Equate to 0 to solve for t

[tex]A'(t) = 0[/tex]

[tex]8 -(t + 1)^{\frac{1}{2}} = 0[/tex]

Collect Like Term

[tex]-(t + 1)^{\frac{1}{2}} = -8[/tex]

Square both sides

[tex](-(t + 1)^{\frac{1}{2}})^2 = (-8)^2[/tex]

[tex]t +1 = 64[/tex]

Make t the subject:

[tex]t = 64 - 1[/tex]

[tex]t = 63[/tex]

So, the tank is at maximum when t = 63.

Substitute 63 for t in: [tex]A(t) = 30+8t-\frac{2}{3}(t+1)^{\frac{3}{2}}[/tex]

[tex]A(63) = 30+8*63-\frac{2}{3}(63+1)^{\frac{3}{2}}[/tex]

[tex]A(63) = 30+8*63-\frac{2}{3}(64)^{\frac{3}{2}}[/tex]

[tex]A(63) = 30+8*63-\frac{2}{3}*512}[/tex]

[tex]A(63) = 30+8*63-\frac{2*512}{3}}[/tex]

[tex]A(63) = 30+8*63-\frac{1024}{3}}[/tex]

[tex]A(63) = 30+8*63-341.33[/tex]

[tex]A(63) = 192.67[/tex]

Approximate:

[tex]A(63) = 193[/tex]

Answer:

p = 2

Step-by-step explanation:

[tex]\frac{p}{18}[/tex] = [tex]\frac{8}{72}[/tex]

to work with smaller numbers you can look to reduce

for example, 8/72 can be reduced to 1/9

[tex]\frac{p}{18}[/tex] = [tex]\frac{1}{9}[/tex]

now you can cross-multiply:

9p = 18

p = 18/9 which is 2

Answer:

Step-by-step explanation:

Answer: -7x-7

Step-by-step explanation: Subtract 11 from 4

-7x-7

[tex]\text{Hey there!}[/tex]

[tex]\bold{-7x+4-11}\\\bold{COMBINE\ your\ LIKE\ TERMS}\\\bold{\-7x+ \underline{4}- \underline{11}}\\\bold{4-11=-7}\\\bold{7=7}\\\bold{=7x-7}\\\boxed{\boxed{\bold{Answer: -7x -7}}}\huge\checkmark[/tex]

[tex]\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-3.3>-10/3

Step-by-step explanation:

-10.3 is equal to -3.3333333333....

-3.3 just stops at the tenths so there is 0.033333333 more in -10/3. The higher the negative number the lower it is, for example -3>-4. Therefore, -3.3>-10/3.

Answer:

5

Step-by-step explanation:

(I'm assuming that by m2 and n2 you mean m to the power of 2 and n to the power of 2)

Whenever you have a number to a power, it is the same as that number times itself that power number of times. For example, 3 to the power of 4 is equal to 3 times itself 4 times, which is 3 * 3 * 3 * 3. If we use this and substitute the values in for m and n, we get that 3^2 - 2^2, and since 3^2 is 3 * 3 and 2^2 is 2 * 2 and 3 times 3 is 9 and 2 times 2 is 4, we get that 9 - 4 is 5.

Note: This symbol means to the power of ----> ^

Answer:

[tex]y=-1(x-2)^2+1[/tex]

Step-by-step explanation:

The parabola has the vertex (2, 1) and goes through the point (4, -3).

We will use the vertex form, given by:

[tex]f(x)=a(x-h)^2+k[/tex]

Where (h, k) is the vertex and a is the leading coefficient.

Line 1)

So, by substitution:

[tex]\text{Vertex}=(h,k)=(2,1)\Rightarrow y=a(x-2)^2+1[/tex]

Lines 2-4)

Since (4, -3) is a point, y = -3 when x = 4:

[tex]-3=a(4-2)^2+1[/tex]

[tex]-3=a(2)^2+1[/tex]

[tex]-4=4a\Rightarrow a = -1[/tex]

Line 5)

By substitution, we acquire our equation*:

[tex]y=-1(x-2)^2+1[/tex]