Which equation can be used to find the measure of angle BAC? tan−1(StartFraction 5 Over 12 EndFraction) = x tan−1(StartFraction 12 Over 5 EndFraction) = x cos−1(StartFraction 12 Over 13 EndFraction) = x cos−1(StartFraction 13 Over 12 EndFraction) = x

Answer:

m<GEC = 17.9 deg

Step-by-step explanation:

First, use the Pythagorean theorem to find the length of GE.

(GE)^2 = (E?)^2 + (?G)^2

I am using ? in place of the front right corner point name that is not visible.

(GE)^2 = 12^2 + 3^2

GE = 12.3693

In triangle EGC, for angle GEC, GE is the adjacent leg, and GC is the opposite leg. We use the tangent.

tan GEC = opp/adj

tan GEC = GC/GE

tan GEC = 4/12.3693

tan GEC = 0.32338

Use inverse tangent to find the angle.

m<GEC = 17.9 deg

The angle ∠GEC of a cuboid will be:

"17.9°"

According to the question,

Three dimensions,

AC = 4 cm

EH = 12 cm

GH = 3 cm

By using Pythagoras theorem,

→ (GE)² = (EH)² + (GH)²

By substituting the values,

           = (12)² + (3)²

           = 144 + 9

           = 153

     GE = √153

           = 12.3693

Now, In ΔEGC

here, Adjacent leg = GE

        Opposite leg = GC

→ tan GEC = [tex]\frac{Opposite}{Adjacent}[/tex]

                 = [tex]\frac{GC}{GE}[/tex]

                 = [tex]\frac{4}{12.3693}[/tex]

                 = 0.32338  

Hence, by using inversing tangent

m∠GEC = 17.9°

Thus the above answer is correct.

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Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Answer:

A is the answer.

Step-by-step explanation:

In option A, there are 9 red boxes and 3 blue boxes

If we simlify,

9 : 3 = 3 : 1 = 1 : 1/3

Hope you understand

Answer: Grid A

Step-by-step explanation:

The ratio red:blue is simplified to 1:1/3.

To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).

We can multiply both sides by 9.

1 x 9= 9

1/3 x 9= 3

Now the ratio red:blue is 9:3, which adds up to 12.

Grid A is the only grid where there are 9 red squares and 3 blue squares.

The probability of two non-overlapping events A or B happening is:

p(A or B) = p(A) + p(B)

if you add an image of the question you are trying to answer, I can explain it better.

Answer:

If events A and B are non-overlapping events.

P(A or B) = P(A) + P(B)

To find the probability that one or the other occurs, you add the probability of both events occurring together.

Answer:

^ DONT LISTEN TO HIM

Step-by-step explanation:

linear - 4.5x + 1.8 and 2x - 6

quadratic - 19x^2 and x^2 - 3x + 4

exponential - 5^x and  0.45^x-1

ur welcome if ur using edge

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

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Answer:

Justine needs to score a 100 to have an average of 93%.

Step-by-step explanation:

Given:

Justin scores 85, 92 and 95 on his science tests.

To find:

The score that he needs to earn to have an average of 93%?

Solution:

Let the score in next science test = [tex]x[/tex]

Formula for Average/Arithmetic Mean is given as:

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Here we have 4 number of total observations and average is 93%.

Now, put all the values here:

[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]

So, Justin needs to score 100 to have an average of 93%.

Answer:

Step-by-step explanation:

nth term = (n-1)th term + common difference

d = -10

a₁ = 3

a₂ = a₁ + d = 3 + (-10) = -7

a₃ = a₂ + d = -7 + (-10) = -17

a₄ = a₃ + d = -17 + (-10) = -27

a₅ =a₄ + d = -27 + (-10) = -37

a₆ = a₅ + d = -37 + (-10) = -47

First six terms: 3 , -7 , -17, -27, -37 , -47

Answer:

nx∧(-3)

Step-by-step explanation:

Since it contains one term with the variable

Answer:

Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

[tex]2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}[/tex]

Step 2: simplifying the coefficients of x:

[tex]2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}[/tex]

Step 3: Adding 1/4 to both sides

[tex]\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\[/tex]

Step 4: Multiplying both sides by 5/7

[tex]\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10[/tex]

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

Answer:

c. step 3

Step-by-step explanation:

Answer:

The solution set consists of all the real numbers smaller than or equal to 11/4:

[tex]x\leq \frac{11}{4}[/tex]

Step-by-step explanation:

We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:

[tex]3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}[/tex]

Answer:

below

Step-by-step explanation:

Answer:

1) -.91

2) .53

3) .04

Step-by-step explanation:

[tex]sin(24)[/tex] = -.905578362

-.91 rounded to the nearest hundredth

[tex]cos(45)[/tex] = .5253219888

.53 rounded to the nearest hundredth

[tex]tan(88)[/tex]= .0354205013

.04 rounded to the nearest hundredth

Answer:

12

Step-by-step explanation:

4 types of flowers, 3 messages, therefore 3x4=12

Sunflower:           Daisy:                   Tulip:                   Roses:

Birthday               Birthday               Birthday              Birthday

Holiday                Holiday                Holiday                Holiday

Anniversary         Anniversary         Anniversary        Anniversary

COUNT ALL OF THE HOLIDAYS AND THAT NUMBER IS GONNA BE YOUR ANSWER.

Answer:

a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.

b) Sarah passed by her home at 12:45.

c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.

d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.

Answer:

£6.86

Step-by-step explanation:

10%=0.7

0.75*98=6.86

Answer:

£6.86

Step-by-step explanation:

98% × 7

0.98 × 7

= 6.86

98% of £7 is £6.86.

Answer:

C

Step-by-step explanation:

Given

x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )

= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term

= (x² + 3)(x + 3) → C

Answer: A: 3/2

Step-by-step explanation:

When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:

s = (y2 - y1)/(x2 - x1)

In this graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

Then the slope is:

s = (0 - (-3))/(2 -0) = 3/2

Then the correct option is A.

The gradient of the line shown above is  A:  [tex]\frac{3}{2}[/tex]

Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :

slope  [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now, from the given graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

The slope is:

[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]

Therefore the correct option is A.

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Answer:

$12.90

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96

Answer:

96

Step-by-step explanation:

Answer:

3x - 21 = 3(x + 7).

Step-by-step explanation:

3x - 21 = 3(x + 7)

3x - 21 = 3x + 21

3x - 3x = 21 + 21

0 = 42

Since the two are not equal, this equation has no solution.

3x - 21 = 3(x - 7)

3x - 21 = 3x - 21

3x - 3x = -21 + 21

0 = 0

Since the two are equal, this equation has infinitely many solutions.

3x - 21 = x - 7

2x = 14

x = 7

This equation has one solution.

Since there is only one choice that makes sense, the answer won't be all of the choices.

The answer is A. 3x - 21 = 3(x + 7).

Hope this helps!

Answer:

All real numbers

Step-by-step explanation:

Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.

An example is given below. The domain and range of the function are all real numbers.

Answer: Option  A, & B

(A) b = 5 StartRoot 3 EndRoot    b= 5[tex]\sqrt{} 3[/tex]

(B) b = Negative 5 StartRoot 5 Endroot  b= -5[tex]\sqrt{} 3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54

Number of success, x = 338

Number of samples, n = 555

We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as

P(x ≥ 338)

From the binomial probability calculator,

P(x ≥ 338) = 0.0006

The percentage is 0.0006 × 100 = 0.06%

Answer:

p = 67

Step-by-step explanation:

The polygon has 8 sides.

The sum of the measures of the interior angles is:

180(n - 2) = 180(8 - 2) = 180(6) = 1080

p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080

10p + 410 = 1080

10p = 670

p = 67

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Answer:

x = -1 ± 2i

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

√-1 = i

Step 1: Factor GCF

3(x² + 2x + 5)

Step 2: Use quadratic formula

a = 1

b = 2

c = 5

[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]

[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]

[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]

[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]

[tex]x = \frac{-2+/-4i }{2}[/tex]

[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]

x = -1 ± 2i

Answer:

0.444

Step-by-step explanation:

The total number of ties is 9, and there are 4 red ones.

So, the probability of choosing a red tie is 4/9.

4/9 = 0.444 as a decimal

Answer:

the answer is 8x^2+xy-15y^2