Solve and graph on a number line. Show your work in the box below.
7x + 10 < 11x + 2

Answer:

0.69

Step-by-step explanation:

In a right triangle, the cosine of one of the acute angles is the ratio of the adjacent ("next to") side to the hypotenuse.

In this triangle, the side adjacent to angle T has length [tex]\sqrt{38}[/tex].  Now you need the length of the hypotenuse, ST.  Use the Pythagorean Theorem:

[tex]ST^2=(\sqrt{38})^2+(\sqrt{41})^2 \\\\ST^2=38+41\\\\ST=\sqrt{79}[/tex]

Build the ratio (adjacent) / (hypotenuse) and approximate it with a decimal.

[tex]\cos{T}=\frac{\sqrt{38}}{\sqrt{79}} \approx 0.69[/tex]

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

To find :-

Cos T = ?

Given :-

Perpendicular(P) = RS = √41

Base(B) = RT = √38

Formula to be used :-

We will use here a trignometry formula to find hypotenuse (H) which is ST.

(hypotenuse)² = (perpendicular)² + (base)²

[tex] \cos(A) = \frac{base}{hypotenuse} [/tex]

Solution:-

H² = P² + B²

H² = (√41)² + (√38)²

H² = 41 + 38

H² = 79

H = √79

[tex] \cos(T) = \frac{B}{H} \\ \cos(T) = \frac{ \sqrt{38} }{ \sqrt{79} } \\ \cos(T) = \frac{6.17}{8.89} \\ \cos(T) = 0.69[/tex]

Result :-

The value of cos(T) is 0.69.

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

Answer:

1. The sum of the score is 667

2. ???

3. for her to have 95 on her last score the sum would be 762

4. ???

Step-by-step explanation:

1 = add all eight scores to get the sum

3 = add 95 to the sum of the eight scores

Answer:

1.colon

2. semicoln

3. comma

4. none

5. dash

6. comma

7. i am not sure but i think is a colon

8.comma

9. semicoln

10. dash

Step-by-step explanation:

You use colon when listing out something.

Sorry, I am not sure about this answer

Answer:

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

Solving

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04

The probability is defined as the chances of occurence of any event from the sample.

Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using the formula the probability of the union of two dependent events A and B:-

[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04

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The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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Answer:

Option B, [tex](48x^{8}y^{5})[/tex]

Step-by-step explanation:

Step 1:  Simplify the exponent

[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]

[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]

[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]

Step 2:  Simply the expression

[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]

[tex](48x^{2+6}y^{3+2})[/tex]

[tex](48x^{8}y^{5})[/tex]

Answer: Option B, [tex](48x^{8}y^{5})[/tex]

Answer: y=3

Step-by-step explanation:

Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.

Given that a parallelogram ABCD is shown in the Cartesian plane.

The points are:

A = (-1, 2)

B = (2, 3)

C = (2, y)

D = (-1, -1)

We are asked to find the value of y in the point C.

To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slope of line AB and DC:

Slope of AB = (3 - 2) / (2 - (-1))

= 1 / 3

∴ Slope of DC = 1 / 3.

So,

1/3 = (y+1) / (2+1)

1/3 = (y + 1) / 3

y + 1 = 1

y = 0

Hence, we get the value of y in point C is 0.

[Note:- you can simply look at the graph and can determine the location of the point C]

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Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   [tex]\sf H = \sqrt{627.75}[/tex]

                 H = 25.01 mm

          [tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]

                                                     = 5229 mm³

[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]

Check the picture below.

Answer:

-4x^2 + 6x +4

Step-by-step explanation:

Answer:

=x^2+5x+2+−1(5x^2−x−2)

=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)

=x^2+5x+2+−5x^2+x+2

=x^2+5x+2+−5x^2+x+2

=(x^2+−5x^2)+(5x+x)+(2+2)

=−4x^2+6x+4

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles

so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of

triangle 2

so the perimeter of triangle 2 is 20÷2 = 10 cm

Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

Projectile motion

We are told that the projectile motion of an object can be modeled using;

h(t) = gt² + v0*t + h0

Where;

g is the acceleration due to gravity

t is the time since launch

h(t) is the height of the projectile after time t

v0 is the initial velocity

h0 is the initial height.

Now, we are given;

The acceleration due to gravity; g = –9.8 m/s²

Initial velocity; v0 = 20 m/s

Initial height; h0 = 60 m

Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60

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Answer:

it's c on edge :] have a nice day

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Answer:

-14

Step-by-step explanation:

let the number= X

from the statement,

(X+6)×2 = X - 2

open bracket

2X +12 = X- 2

2X-X = -2-12

X = -14

Answer:

Step-by-step explanation:

a) 147

b)147

c) 152

d)65

Answer:

a) mean = 147

b) median = 147

c) mode = 152

d) range = 65

Step-by-step explanation:

firsly let’s arrange the numbers of the set in ascending order:

117 , 119 , 138 , 142 , 152 , 152 , 174 , 182

a)

[tex]Mean = \frac{117+119+138+142+152+152+174+182}{8} =\frac{1176}{8} =147[/tex]

b) the median is the average of the two middle numbers :

[tex]117,119,138, \frac{142,152}{} , 152,174,182[/tex]

[tex]median=\frac{142+152}{2}= 147[/tex]

c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set

d) the range of a set is the difference between the highest and lowest numbers :

Then

the range = 182-117 = 65

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

The difference in the pay rate of Phoebe in 5 years will be $11850

Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:

= $20000 + (5% × $20000)

= $20000 + $1000

= $21000

When there is $0.75 increase per hour, the new pay rate on 5 years will be:

= (0.75 × 43800)

= $32850

The difference will be:

= $32850 - $21000

= $11850

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An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]

                                                   [tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]

Hence, the representation of Leroy's total employment compensation is $46,650.

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Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation:

Answer:

1/26

Step-by-step explanation:

There are 52 cards....four are 9's      4/52

six possible rolls    three are even     3/6

4/52 * 3/6 =   1/26

Answer:

y = - 21

Step-by-step explanation:

System of equations:

- 6x + 2y = - 18

- 3x - 2y = 54

To find y will look to eliminate x:

- 6x + 2y = - 18

- 3x - 2y = 54   (multiply both sides by -2)

- 6x + 2y = - 18

 6x + 4y = - 108

---------------------------- (add those two equations)

        6y  =  - 126        (divide both sides by 6)

          y  =  - 126/6           (simplify by 6)

           y = - 21

Answer: -21

Step-by-step explanation:

Answer:

The answer would be (D) 4 minutes.

Step-by-step explanation:

18 x 4= 54

I have had this question before have an amazing day!!!!