Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
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Answer:

the number is -1

Step-by-step explanation:

11 + 10x = 1  Subtract 11 from both sides

10x = -10  Divide both sides by 10

x = -1

Check:

11 + (10 x -1) = 1

11 + (-10) = 1

Answer:

TRUE

Step-by-step explanation:
na sa inyo na answer

Answer:

Add your questions

Step-by-step explanation:

Answer:

Step 1: Express the quadratic equation in standard form. Step 2: Factor the quadratic expression. Step 3: Apply the zero-product property and set each variable factor equal to 0. Step 4: Solve the resulting linear equations

Answer:

You either lose everything or gain everything (losing is more probable :) )

Step-by-step explanation:

Answer: x=0.5

Step-by-step explanation:

4x+2x - 2 = 2x

6x-2=2x

6x=2x+2

4x=2

x=0.5

Answer:

$200

Step-by-step explanation:

1/5 of 500 is 100 because 5 100s equal 500. so 3 years is 300. 500-300=200

Answer:

50 miles or hour

Step-by-step explanation:

SPEED= DISTANCE/TIME

SPEED = 175/ 3.5

SPEED= 50

The list price of the clock is $375.50.

From the information, Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock 30%.

The new price will be:

= $725 + (30% × $725)

= $275 + $82.5

= $357.5

Therefore, the list price of the clock is $375.50.

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Answer:

1/4

Step-by-step explanation:

[tex]x^y \ctimes x^z = x^{y + z}[/tex]

[tex]2^{-4} \cdot 2^2 = 2^{-4 + 2} = 2^{-2} = \frac{1}{2^2} = \frac{1}{4}[/tex]

Answer:

[tex]y=-\frac{5}{7}x+5[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.

Identify the value of the slope, m:

Given that the slope is [tex]-\frac{5}{7}[/tex], m= [tex]-\frac{5}{7}[/tex].

Substituting the value of m into the equation:

[tex]y=-\frac{5}{7} x+c[/tex]

Identify the value of the y-intercept:

Given that the y-intercept is 5, c= 5.

Substitute c= 5:

[tex]\bf{y=-\frac{5}{7}x+5}[/tex]

Thus, the equation of the line is [tex]\bf{y=-\frac{5}{7} x+5}[/tex].

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Layla should by not more than 4 outfits in order not to exceed her budget

The inequality expression is n  ≤ 4

Given data

price of a new bicycles = $319.28

3 bicycle reflectors = $4.90

a pair of bike gloves = $37.94.

new biking outfits = $77.02 each

Layla's total money to spend at a bicycle store = $680

Layla's expenses will not be more than her total amount to spend at the bicycle store therefore will use less than or equal to sign, before the sum of the other items

The expression is written as follows

$680 ≤ $319.28 + 3 * $4.90 + $37.94 + n * $77.02

where n represents the number of the new biking outfits

$680 - ( $319.28 + 3 * $4.90 + $37.94 ) ≤. + n * $77.02

( $680 - ( $319.28 + 3 * $4.90 + $37.94 ) ) /  $77.02 ≥ n

( $680 - $371.64 ) /  $77.02 ≥ n

( $308.36) /  $77.02  ≥ n

4  ≥ n

Layla should by not more than 4 outfits in order not to exceed her budget

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The number predicted is 98765 and using calculator gives 888888 which confirms it is correct.

Given data

9*9+7=88

98*9+6=888

987*9+5=8888

9876*9+4=88888

Using inductive reasoning and the given data as the premise we can see that the number multiplying 9 is gotten by adding a new digit which is a lesser digit of the preceding number while counting backwards.

Using the last  operation as instance we have that

9876*9+4=88888

the last digit that joined is 6, and this number is the next digit after 7 while counting backwards. Also the number 4 added is the next after 5 while counting backwards.

so we can predict the next row by counting backwards in the two occasions as follows:

counting backwards after 6 is 5 therefore we have 98765

counting backwards after 4 is 3 therefore we have 3

arranging the numbers into row gives

98765 * 9 + 3

adding with a calculator gives

98765 * 9 + 3 = 888888

The number predicted is 98765

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The amount that decreased in dollars is equal to $ 645 and the money left in the account at the end of the year is $ 7955.

The amount of investment that Abdul opened an account with = $ 8600

The amount decreased by 7.5 %.

So, the amount left will be calculated by first using the percentage to find the amount that decreased.

Amount decreased = 7.5 % of 8600

Amount decreased = 0.075 × 8600

Amount decreased = $ 645

Amount left at the end of the year = $ 8600 - $ 645

Amount left at the end of the year = $ 7955

Therefore, the amount that decreased in dollars is equal to $ 645 and the money left in the account at the end of the year is $ 7955.

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Step-by-step explanation:

1. 10+m= -9                                  ANSWER: M= -19

subtract 10 from both sides (m=−9−10)

Subtract 10 from −9 to get −19.

2. -12x= 60                                    ANSWER: X= -5

Divided both sides by negative 12 (x= 60 over -12)

Divide 60 by −12 to get −5.

3. v/20 = 7                                      ANSWER: V= 140

Multiply both sides by 20 (v=7×20)

Multiply 7 and 20 to get 140.

(Hopefully this helps)

$ 58.392  will it cost for the area of Scotts to have their lawn cut.

What does area in math mean?

Area of pool = πr² =   π(12)²= 452.4 ft²

area of house = 25 × 50 = 1250 ft²

area of ratio = 40 × 10 = 400 ft²

area of drive = 30 × 10 = 300 ft²

area of shed = 10 × 8 = 80 ft²²

total are all combined for above will be = 2482.4 ft²

total area of plot = 200 × 100 = 20000 ft²

lawn area = 20000 - 2482.4 = 17517.6 ft²

on converting ft² into yard²

lawn area = 17517.6 ft² = 1946.4 yard²

cost of each yard² = $0.03

then total cost = 1946.4 × $0.03

                         = $ 58.392

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Answer:

the last one (bottom right) x cannot be the same on any point so the last one is the only correct answer

Answer:

4th option

Step-by-step explanation:

The option which doesn't have more than one point on an x-value.

The age of the boy is 14 years.

Given average age of 8 men, 7 women and 1 boy is 45 years.

Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated.

age of 8 men is 48 years.

age of 7 women is 46 years.

age of the boy is = ?

= (45 ×16 ₋ 48 × 8 ₋ 7 × 46)

= (720 ₋ 324 ₋ 322)

= 14 years.

Hence the age of the boy is 14 years.

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The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Answer:

The simplest form of

78/99

is

26/33

.

The formula to find time from distance is time = distance/speed

As a general rule, the formula of speed is

Speed = Distance/Time

Multiply both sides by Time

Time * Speed = Distance

Divide both sides by Speed

he formula to find time from distance

Hence, the formula to find time from distance is time = distance/speed

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Table is attached below-

1) 1 m² = 10.75 tiles

2) 10 m² = 107.5 tiles

3) 9.3 m² of tiles = 100 tiles

4) a m² = 10.5a tiles

We have been given that

Every square meter of ceiling requires 10.75 tiles.

we have find missing values in the table.

We know,

1 square meter of ceiling =  10.75 tiles.      ...(i)

1. Therefore, the number of tiles corresponding to 1 square meter of         ceiling is 10.75.

Multiply both sides by 10.

10×1 square meter of ceiling =  10×10.75 tiles.

10 square meter of ceiling =  107.5 tiles.

2. Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.

Divide both sides by 10.75 in (i).

(1/10.75) square meter of ceiling = 1 tile.

Multiply both sides by 100.

(100/10.75) square meter of ceiling = 100 tiles.

On approximating the value, we get

9.3 square meter of ceiling = 100 tiles.

3. Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.

Multiply both sides by a in (i).

a×1 square meter of ceiling =  a×10.75 tiles.

a square meter of ceiling =  10.75a tiles.

4. Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.

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The percent error is 8%

The formular for percent error is approximate value -exact value/exact value multiplied by 100

The approximate value is 197 points

The exact value is205 points

Percent error = 197 - 205 /205 × 100

= -8/205 × 100

= 0.0390 × 100

= 3.9

Hence the percent error is 8%

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The number that has a 6 that is 1/10 the value of the 6 in 527.6 is B. 982.46.

It should be noted that we are to simply find the place value of the numbers.

In 527.6, the place value is 1/10.

On the other hand, in 982.46, the place value is 1/100.

Therefore, the number that has a 6 that is 1/10 the value of the 6 in 527.6 is 982.46.

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Greetings from Brasil...

In a trigonometric function of Cosine, we have:

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

Answer: P= 2 6/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is correct till 16/15

But after that it is 16/15 × 5/-3 = 80/-45

simplify it to 16/-9

the number x, you must deduct another number from it , conditions will the response be unfavorable,

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In an expression, a positive number is subtracted from two other integers. If the value of the negative number is higher than that of the positive number, then the expression's value will be considered negative. Additionally, according to the fundamental rule of integers, the number's sign-bearer must always have a higher value.

For instance,

1. 2 - 3 = -1

2. 10 + (- 8) + (- 11) = -9

3. -6 + 3 = -3

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Answer:

17 + 2 x m

Step-by-step explanation:

sum is to add and twice is to multiply by 2

Answer: f(x)=(-6x-2)/3

Step-by-step explanation:

f(x)= 6x-2

f(x)= (6x-2)*1/3       ==>Vertical compression

f(x)=(6x-2)/3

f(x)=(6(-x)-2)/3      ==> reflection over y-axis is when x is being negated

f(x)=(-6x-2)/3