Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 β= 70° ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units

Greetings from Brasil...

If we have a translation for left/right, we have to use the expression:

F(X ± C)

if F(X + C), so the function shifted C units to the left

if F(X - C), so the function shifted C units to the right

Bringing to our problem

G(X) = F(X + C)

F(X) = 2X - 1

G(X) = F(X + 7) = 2.(X + 7) - 1

G(X) = F(X + 7) = 2X + 14 - 1

G(X) = F(X + 7) = 2X + 13

Answer:

901.1 km²

Step-by-step explanation:

The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),

Where a and b, are two known sides of the triangle, and θ is the angle between both sides.

To find the area of ∆WXY, follow the steps below:

Step 1: Find XY using the law of sines.

m < W = 180 - (65 + 48) (sum of angles in a ∆)

W = 180 - (113) = 67°

X = 65°

WY = 49 km

XY = ?

[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]

[tex] \frac{XY}{sin(67)} = \frac{49}{sin(65)} [/tex]

[tex] \frac{XY}{0.92} = \frac{49}{0.91} [/tex]

Cross multiply

[tex] XY*0.91 = 49*0.92[/tex]

Divide both sides by 0.91

[tex] \frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91} [/tex]

[tex] XY = 49.54 [/tex]

XY ≈ 49.5

Step 2: find the area

Area = ½*WY*XY*sin(Y)

Area = ½*49*49.5*sin(48)

Area = ½*49*49.5*0.743

Area = 901.07325

Area = 901.1 km² (nearest tenth)

Answer:

see file attached

Step-by-step explanation:

Answer:

The value of cot theta is undefined for all the options

Step-by-step explanation:

I think the best way to go about this is by the use of a calculator.

All that needs to be done is to input the individual values to see where we have an answer that is out of it.

Now, moving away from the calculators, we know quite well that cot is a derivative of tan.

By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.

On a normal scientific calculator, there is no cot functionality.

The way around this is to express

Cot theta as 1/tan theta

Thus cot 90 = 1/cot(90) = calculation error

Cot 180 = 1/tan (180) = calculation error

Cot 270 = 1/tan 270 = calculation error

Cot 450 = 1/tan (450) = calculation error

This shows that the value of cot is undefined for all of these options

Answer:

180

Step-by-step explanation:

Answer:

Amount= $2933.2

Step-by-step explanation:

The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years

A= p(1+r/n)^(nt)

P= $2500

r= 4/100= 0.04

t= 4

n = 4*4= 16

A= 2500(1+0.04/16)^(16*4)

A= 2500(1+0.0025)^(64)

A= 2500(1.0025)^64

A= 2500(1.17328)

A= 2933.2

Amount= $2933.2

Answer:

Step-by-step explanation:

Berto’s train was 34 miles past the egg farm .

Eduardo’s train had 12 miles to go before it reached the egg farm.

Distance between two trains = 34 + 12 = 46 miles

This distance has to be reduced to zero for their crossing each other .

Rate at which this distance is reduced  = their relative velocity

= 110 - 85

= 25 miles / h       [ They are moving in the same direction ]

So, time taken for them to meet each other

= 46 / relative velocity

= 46 / 25

= 1.84 hours .

Answer:

The answer is D or 1.84 hours.

Step-by-step explanation:

I got 100% on this quiz.

here is an example of a fraction that equals a whole number

2/2 would equal a whole number. The bottom number is 2. This means the whole is cut into two equal pieces (halves).

The top number is 2, so we are counting two-halves.

After shading two-halves, you see that the whole circle is shaded. Two-halves is equivalent to 1.

You would plot 2/2 at the same location as the whole number 1.

Answer:

5 pounds.

Step-by-step explanation:

You can start by subtracting 28.60 from 70 which equals 41.4.

Now you just need to divide 41.4 by 8.28 which equals 5.

So, Salma bought 5 pounds of coffee.

Hope this helps! <3

Answer:

It is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F

Step-by-step explanation:

The given information are;

The sample size, n = 102

The sample mean = 98.4°F

The sample standard deviation = 0.66°F

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}[/tex]

α = 0.2, ∴ α/2 = 0.1

[tex]\chi _{1-\alpha /2}[/tex] = [tex]\chi _{0.9, 101}[/tex] = 83.267

[tex]\chi _{\alpha /2}[/tex] = [tex]\chi _{0.1, 101}[/tex] = 119.589,

Which gives;

[tex]\sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{119.589}^{}}}< \sigma < \sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{83.267}^{}}}[/tex]

0.607 < σ <0.727

Therefore, it is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F.

Answer:

Got u 8382 for

Step-by-step explanation:

The one is the one for owing me owning this world haha 8282

Answer:

14°

Step-by-step explanation:

Calculate the common side ZX to both right triangles.

Using the tangent ratio in the upper right triangle.

tan70° = [tex]\frac{opposite}{asjacent}[/tex] = [tex]\frac{ZX}{3}[/tex] ( multiply both sides by 3 )

3 × tan70° = ZX , thus

ZX ≈ 8.24

Using the cosine ratio in the lower right triangle.

cos ZXY = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{ZX}[/tex] = [tex]\frac{8}{8.24}[/tex] , thus

∠ ZXY = [tex]cos^{-1}[/tex] ([tex]\frac{8}{8.24}[/tex] ) ≈ 14° ( to the nearest degree )

(4, 7) lies on the graph of [tex]y=3f(2x)+1[/tex], so plugging in [tex]x=4[/tex] gives [tex]y=7[/tex]:

[tex]7=3f(2\cdot4)+1\implies f(8)=2[/tex]

i.e. if [tex]x=8[/tex], then [tex]y=2[/tex], so the point (8, 2) lies on the graph of [tex]y=f(x)[/tex]. The sum of this point's coordinates is 8 + 2 = 10.

Answer:

Whats the formula for the area of a rectangle?

L x W.  48 x 36 =  1728 sq inches.

Then divide by (12 x12 ) = 144 to find square feet

Step-by-step explanation:

Answer: The children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.

Step-by-step explanation:

Given, The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours.

i.e. for 1 pound of body weight required dosage per day= [tex]\dfrac{40}{2.2}=18.18\ ml[/tex]

Each dose consist = [tex]\dfrac{18.18}{3}=6.06\ ml[/tex] drug.

so, 1 pound of body weight required 6.06 ml for each dose.

Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml

If 1 teaspoon = 5 ml,  then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.

15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml

Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.

30 pounds of body weight require  30 x 6.06 ml drug= 181.8 ml

Then  30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.

Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.

Answer:

A. 1, 1 1/2 , 2 3/4

Step-by-step explanation:

REMEMBER: 1 teaspoon = 5 ml.

For 1 pound of body weight required dosage per day= {40}{2.2}=18.18 ml

Each dose consist = {18.18}{3}=6.06 ml drug.

so, 1 pound of body weight required 6.06 ml for each dose.

Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml

If 1 teaspoon = 5 ml,  then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.

15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml

Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.

30 pounds of body weight require  30 x 6.06 ml drug= 181.8 ml

Then  30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.

Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively which deduct to 1, 1 1/2 , 2 3/4 when converted to the fraction requested in the problem.

Answer:

Option C is the correct option

Step-by-step explanation:

Given

Point = ( -7 , - 9 )

Slope = - 4

Equation of line ( Point slope form )

[tex]y - y1 = m(x - x1)[/tex]

when point = ( -7 , - 9 )

Hope I helped...

Best regards!!

The equation of the line is 4x + y = -37 then option C is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given point is ( -7, - 9 ) and the slope is - 4.

The equation of the line is calculated by,

y - y₁ = m ( x - x₁ )

y - 9 = -4 ( x + 7 )

y = -4x -28 - 9

y = -4x -37

4x + y = -37

Therefore, the equation of the line is 4x + y = -37 then option C is correct.

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Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items.

Rock beats Scissors, Scissors beat Paper, and Paper beats Rock.

We assume that both Jim and Renee have an equal chance of choosing any one of the hand signs.

Since, there are 3 possibilities, either Jim win or Renee or its a tie.

So, the probability that Jim will win: [tex]\dfrac{\text{Outcomes for Jim to win}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{1}{3}[/tex]

Hence, the required probability is [tex]\dfrac{1}{3}[/tex] .

Answer:

144 codes are possible

Step-by-step explanation:

Okay for the first digit, we shall be selecting one out of 3,4,5,6.

Meaning we are selecting one out of four choices

The number of ways this can be done is 4C1 ways = 4 ways

For the second digit, we have 5,6,7 or 8, we are still selecting 1 out of 4 selections and the number of ways we can do this is also 4 ways

And lastly , we can choose any digit for the last number expect 5 , so from 0 to 9, we are removing 1 which means we are left with 9 choices

So the number of different area codes possible are ; 9 * 4 * 4 = 144 codes

Answer:

5 cm

Step-by-step explanation:

As we can see in the attached figure that G is the point at which the three medians of the triangle meet  i.e we called the centroid

And, according to the property of the centroid, it divides the medians in ratio i.e 2:1

DG: CG = 2 : 1

Since the DG is 10 cm

So, the CG would be half of DG i.e 5 cm

Hence, the CG is 5 cm

Therefore the first option is correct

Answer:

the answer is 5 cm

Step-by-step explanation:

Answer:

D.0

Step-by-step explanation:

Our system of equations is

then we can conclude that

This is a quadratic equation so we will use the dicriminant method:

Let Δ be our dicriminant

The dicriminant is negative so this equation has no real solutions

the the system has no real solutions

Answer:

+When the graph is below the x-axis, the barnacle is underwater.

+The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.

+Every time the barnacle goes underwater, the boat travels pi meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3pi  meters underwater between x = 0 and x = 20

Step-by-step explanation:

To determine the number of times that the times the barnacle went beneath the water level, it can be illustrated when the graph is below the x-axis.

It should be noted that the graph dips below the x-axis three times between x = 0 and x = 20, therefore the barnacle goes underwater three times.

Also, every time the barnacle goes underwater, the boat travels pi meters before the barnacle comes back up.

Learn more about graph on:

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Answer:

2288

Step-by-step explanation:

Answer:

f(n + 1) = f(n) + 20

Step-by-step explanation:

Let f(x) equals their pay at every hour of X

Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say

1 hour work=$20

Then additional 1hour+ n= $20 + n

Hence,f(n+1)=f(n)+20

Answer:

None of the options are correct, the correct answers are: x = 0.967 and -2.067

Step-by-step explanation:

[tex]x^2 + 1.1x - 2 = 0[/tex]

Comparing this equation with [tex]ax^2 + bx + c = 0[/tex]

a = 1, b = 1.1, c = -2

Using the almighty formula for solving quadratic equation:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm 3.035 }{2}\\x_1 = \frac{-1.1 + 3.035 }{2} = 0.967\\x_2 = -\frac{-1.1 - 3.035 }{2} = -2.067[/tex]

Answer:

A on edge 2021. Just took practice quiz.

Step-by-step explanation:

x = 1.7 and x = -29.2

Answer:

a) 294

b) 180

c) 75

d) 168

e) 105

Step-by-step explanation:

Given the numbers 0, 1, 2, 3, 4, 5 and 6.

Part A)

How many 3 digit numbers can be formed ?

Solution:

Here we have 3 spaces for the digits.

Unit's place, ten's place and hundred's place.

For unit's place, any of the numbers can be used i.e. 7 options.

For ten's place, any of the numbers can be used i.e. 7 options.

For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.

Total number of ways = [tex]7 \times 7 \times 6[/tex] = 294

Part B:

How many 3 digit numbers can be formed if repetition not allowed?

Solution:

Here we have 3 spaces for the digits.

Unit's place, ten's place and hundred's place.

For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.

Now, one digit used, So For unit's place, any of the numbers can be used i.e. 6 options.

Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.

Total number of ways = [tex]6 \times 6 \times 5[/tex] = 180

Part C)

How many odd numbers if each digit used only once ?

Solution:

For a number to be odd, the last digit must be odd i.e. unit's place can have only one of the digits from 1, 3 and 5.

Number of options for unit's place = 3

Now, one digit used and 0 can not be at hundred's place So For hundred's place, any of the numbers can be used i.e. 5 options.

Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.

Total number of ways = [tex]3 \times 5 \times 5[/tex] = 75

Part d)

How many numbers greater than 330 ?

Case 1: 4, 5 or 6 at hundred's place

Number of options for hundred's place = 3

Number of options for ten's place = 7

Number of options for unit's place = 7

Total number of ways = [tex]3 \times 7 \times 7[/tex] = 147

Case 2: 3 at hundred's place

Number of options for hundred's place = 1

Number of options for ten's place = 3 (4, 5, 6)

Number of options for unit's place = 7

Total number of ways = [tex]1 \times 3 \times 7[/tex] = 21

Total number of required ways = 147 + 21 = 168

Part e)

Case 1: 4, 5 or 6 at hundred's place

Number of options for hundred's place = 3

Number of options for ten's place = 6

Number of options for unit's place = 5

Total number of ways = [tex]3 \times 6 \times 5[/tex] = 90

Case 2: 3 at hundred's place

Number of options for hundred's place = 1

Number of options for ten's place = 3 (4, 5, 6)

Number of options for unit's place = 5

Total number of ways = [tex]1 \times 3 \times 5[/tex] = 15

Total number of required ways = 90 + 15 = 105

Answer:

Step-by-step explanation:

Solution,

Use the BODMAS Rule:

B = Bracket

O = Of

D = Division

M= Multiplication

A = Addition

S = Subtraction

Now,

Let's solve,

[tex]2 + 8 \div 2 \times 3[/tex]

First we have to divide 8 by 2

[tex] = 2 + 4 \times 3[/tex]

Calculate the product

[tex] = 2 + 12[/tex]

Calculate the sum

[tex] = 14[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

14

Step-by-step explanation:

2 + 8 ÷ 2 x 3 =

There is an addition, a division, and a multiplication. According to the correct order of operations, we do first the multiplications and divisions in the order they appear from left to right.

= 2 + 4 x 3

= 2 + 12

Now we do the addition.

= 14

Answer:

6,000 children

Step-by-step explanation:

1/3 of 9,000 is 3,000

Meaning that out of 9,000 children, 3,000 WILL get affected. Since we are trying to figure out how many children will NOT get affected, just subtract the number of infected by the total amount which would be 6,000

Answer:

last option

Step-by-step explanation:

It will take 200 / 5 = 40 months for Sara's phone to lose all its value, therefore, the domain is 0 ≤ t ≤ 40 because you can't have negative months. Since negative money is not a thing, the range has to be 0 ≤ V(t) ≤ 200 because it stops at 0 and starts at 200.

Answer:

the trig sign to use is sine

sin(73)=x/15

multiply each side by 15 giving you:

sin(73)15=x

x=14.3

Answer:

C (-3,2)

Step-by-step explanation:

Well point Q on the parabola is located on point (1,2),

The corresponding point means the point located all the way to the left of Q which is (-3,2).

Thus,

the point that is corresponding to point Q is C. (-3,2).

Hope this helps :)

Answer:  The estimated value is:  " 2.1 " .

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Step-by-step explanation:

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We are asked to "estimate" :

 5 2/11  -  3/ 2/18 ;

 Note:  Consider:  " 5 2/11 " ;  

 Note that:  "2/11" is close to:  "2/10" ; which can be expressed as a decimal value:  "0.2 " ;

So, consider this value:  "5 2/11 ";  as estimated:  " 5.2 " .

Now, consider:  " 3  2/18 " ;

Note that :  "2/18" can easily be reduced to:  "1/9 ";

               Since:  "(2/18)" = "(2÷2) / (18÷2) " =  "1/9 " ;

Note that "1/9" is close to "1/10" ; which can be expressed as a decimal value:  "0.1 ".

 So, consider:  "3 2/18 " ; as estimated:  " 3.1 " .

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So:  To estimate:  " 5 2/11  -  3 2/18 " ;

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Use the following:  "5.2  - 3.1 " ;

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    5.2

 -  3. 1

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  " 2.1 "

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The estimated value is:  " 2.1 " .

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Hope this is helpful to you!

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