What is the measure of angle SUT?
A) 35
B) 70
C) 110
D) 290

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

To find:

The value of [tex]tan60^\circ[/tex] = ?

Solution:

Kindly consider the equilateral [tex]\triangle ABC[/tex] as attached in the answer area.

Let the side of triangle = [tex]a[/tex] units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = [tex]\frac{a}{2}[/tex]

Using Pythagorean Theorem in [tex]\triangle ABD[/tex]:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

Side AD = [tex]\frac{\sqrt3}{2}a[/tex]

Using Trigonometric ratio:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanB = \dfrac{AD}{BD}[/tex]

Putting the values of AD and BD:

[tex]tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}[/tex]

Answer:

735x0.01

Step-by-step explanation:

Answer: b= -4

Step-by-step explanation:

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

Answer:

0

Step-by-step explanation:

Since it is a flat, horizontal line, it has a slope of 0.

If the line was straight up and down, it would be undefined.

Answer: 15

Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20

Answer:

there are 15

men in the dance recital

Step-by-step explanation:

Answer:

5x=1

Step-by-step explanation:

51

Answer:

5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5

Answer:

5 gallons.

Step-by-step explanation:

two gallons=$5.40

? gallons=$13.50

you cross multiply

2 × $13.50÷$5.40

27÷5.40=5 gallons

Answer:

=5xy−9x−9y+7

Step-by-step explanation:

Let's simplify step-by-step.

−6x+5xy−9y−3x+7

=−6x+5xy+−9y+−3x+7

Combine Like Terms:

=−6x+5xy+−9y+−3x+7

=(5xy)+(−6x+−3x)+(−9y)+(7)

=5xy+−9x+−9y+7

Answer:

=5xy−9x−9y+7

Answer:

This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.

Step-by-step explanation:

d =   c × b a  ,

d =   3 × 8 4  = 6

If we divide £42 in the ratio of 1:5 so it comes 7 and 35.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 42 \times 1 \div (1 + 5)[/tex]

= 7

And

[tex]= 42 \times 5 \div (1 + 5)[/tex]

= 35

Therefore we can conclude that If we divide £42 in the ratio of 1:5 so it comes 7 and 35.

Learn more: brainly.com/question/13549064

Answer:

y= -1/3x-7

Step-by-step explanation:

Answer:

b) No solutions

Step-by-step explanation:

y=2x+1

y= 2(x+3)

Substitute the y in y=2x+1 with 2(x+3)

2(x+3)=2x+1

Then distribute the 2.

2x+6=2x+1

Subtract 2x from both sides to isolate the variable.

6=1

this statement is false, meaning the system of equations has no solutions.

Answer:

=-3471 is the answer this may help you.

Step-by-step explanation:

=3.471×10^-3

=3.471×-1000

=-3471

Answer:

Step-by-step explanation:

10+W=25

Answer:

The First Part would be B and for the W= would be 15 since

25 = 10 + 15, it would also be B because of the order of the numbers.

You could also rewrite it as 10 + 15 = 25.

Step-by-step explanation:

Answer:

[tex]2.75,\ 0.1x[/tex]  

[tex]2.75[/tex]

Step-by-step explanation:

In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].

If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].

In 1980, zero years have passed so, [tex]x=0[/tex]

Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]

The domain of the function is [ - 6 , ∞ ]

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

A radical function is the one provided.

It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.

As a result, either the radicand of the provided function must be larger than or equal to zero, or:

Thus we can write it as

x + 6 ≥ 0

subtract 6 from both LHS and RHS

x + 6 - 6 ≥ 0 - 6

x ≥ - 6

Therefore the domain of the function is [ - 6 , ∞ ]

To know more about domain and function you may visit the link which is mentioned below:

brainly.com/question/13113489

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Answer:

pre image point A (8,0)

Step-by-step explanation:

I guess thats the answer

A = (x, y)

After a translation right 2 units and down 1 unit is the point B (10, -1)

A = (x + 2, y - 1)

B = (10, -1)

A = B

x + 2, y - 1 = 10, -1

x, y = 10 - 2, -1 + 1

x, y = 8, 0

(x, y) = (8, 0)

The coordinates of pre-image point A is (8, 0)

Answer: 1, 3, and 4 can form triangles. The rest can not.

Step-by-step explanation:

on triangles 1, 3, and 4, the 2 smaller sides added together are greater than the longer side.

Answer:

2x-y=-10

Step-by-step explanation:

I'm assuming by standard form you mean

Ax+By=C

Ax⇒2x

By⇒-y

C=-10

2x-y=-10

Answer:

48 cents each pound

Step-by-step explanation:

Divide $12 by 25 pounds.

12÷25=0.48

Answer:

the slope is-7/11

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=3-(-4)/(-2)-9

m=7/-11

m=-7/11

Answer:

$1000 + $25m and $1300 - 25m ;

1100 + 2.75m

2010 (4th month)

2011 ( 7th month)

Step-by-step explanation:

Joline's account :

Initial deposit = $1000

Monthly deposit = $25

Monthly withdrawal = $25

Number of months = 12

Let m = number of month at any point in time

Initial deposit + total deposit

Amount in Joline's account ; first 12 months

$1000 + $25m - - - (1)

Next 12 months :

$1000 + $25 *12 - 25m

1300 - 25m

Sofia's account :

Deposit amount = $1100

Interest per month = 0.25% = 0.0025

1100 + (1100 * 0.0025 * m)

1100 + 2.75m - - (2)

To find the month:

Equate equation 1 and 2, then find m

$1000 + $25m = 1100 + (1100*0.0025*m)

1000 + 25m = 1100 + 2.75m

25m - 2.75m = 1100 - 1000

22.25m = 100

m = 100 / 22.25

m = 4.494

In year 2010, they have approximately the same amount in the fourth month

1300 - 25m = 1100 + 2.75m

1300 - 1100 = 2.75m + 25m

200 = 27.75m

m = 200 / 27.75

m = 7.207

In 2011 ; they have approximately the se amount in the 7th month

Answer:

its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120

Answer:

3/4

Step-by-step explanation:

15/20 is 3/4. therefore, according to the previous data, it is 3/4.

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Answer:

The unknown value is being subtracted from 226 is 160

Step-by-step explanation:

Long division setup showing an incomplete calculation

so,

The dividend = 3426

 The divisor = 16

2 hundreds means 200 and 1 tens means 10

∵ The quotient = 200 + 10 + x

∵ Dividend = divisor × quotient

∴ (16 × 200) + (16 × 10) + (16 × x) +remainder  = 3426  

∵ 16 × 200 = 3200

Subtract 3200 from the dividend  

∴ 3426 - 3200 = 226

∵ 16 × 10 = 160

∴ 226- 160 = 66

⇒160is the unknown value

∵ 16 × x = 16x  

∵ 66 - 16x = 0

∴ 66 = 16x

- Divide both sides by 16

∴ x = 4  and remainder = 2

∴ 3426 ÷ 16 = 200 + 10 + 4

∴ 3426 ÷ 16 = 214  

∴ From the steps above the missing number subtracted from

  226 is 160

The unknown value is being subtracted from 226 is 160

Answer:

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Step-by-step explanation:

Area of a trapezium:

[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]

[tex]A=74.8\ cm^2[/tex]

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Answer: For which item was he charged twice? 42.25 – 29.50 = 12.75, so he was charged twice for the hat.

It may be incorrect! This is in my math book and it was this answer. Please forgive me if it’s incorrect!

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]

From equation 1

[tex]a = 133-c[/tex]

Putting this in equation 2

[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]

Putting c = 78 in equation 1

[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]

Hence,

55 adult tickets were sold on Friday.