What is the length of BC given that CG is 2.5 inches and GB is 253 inches? Round to the nearest tenth.
3.5 inches
8.8 inches
9.1 inches
10.8 inches

Answer:

48 cubes

Step-by-step explanation:

The total area of the cubes would be 1/27. Because 1/3*1/3*1/3=1/27.

The area of the prism is 16/9.

2 2/3 x 2/3=16/9

16/9 * 1 = 16/9

Because we want to find a common denominator we would multiply 16/9 by 3 to get 48/27.

Last, we take 48/27 and divide that by 1/27.

48/27 divided by 1/27 = 1296/27 = 48

Answer:

48 have a good day

Step-by-step explanation:

Answer:

The 2 equations are E = 2K and K = E-3

Step-by-step explanation:

Let the height of Eric be E

Let the height of Kevin be K

Eric is twice as tall as his little brother Kevin

E = 2K

Kevin is also three feet shorter than Eric

K = E-3

The 2 equations are E = 2K and K = E-3

Final answer:

Eric's height (E) is twice Kevin's height (K), represented by the equation E = 2K. Kevin is three feet shorter than Eric, which gives us the second equation K = E - 3. These equations help us determine their exact heights when solved together.

Explanation:

To translate the given information about Eric and Kevin's heights into two equations, we need to use the given relationship between their heights. From the statement 'Eric is twice as tall as his little brother Kevin,' we can write the first equation as E = 2K. This equation shows that Eric's height (E) is twice Kevin's height (K). The second statement 'Kevin is also three feet shorter than Eric' gives us the equation K = E - 3, which represents that Kevin's height is three feet less than Eric's height.

Together, these two equations can be used to solve for the exact heights of Eric and Kevin.

Answer:

The interest is: $2520.00

Step-by-step explanation:

P is the principal amount, $10500.00.

r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 10500 × 0.06 × 4 to get that

Answer:

16 friends

Step-by-step explanation:

If the question you're asking is how many friends he gave chocolates to, the answer would be 16.

50 - 2 = 48  (You subtract 2 because it's the amount of chocolates he had left)

48 ÷ 3 = 16 (Now you divide 48 by the number of chocolates he was giving his

                  friends. The final answer is the amount of times he gave out

                  chocolates, a.k.a how many friends he has

Answer:

12.56 miles

Step-by-step explanation:

[tex]l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{ 90 \degree}{360 \degree} \times 2 \times 3.14 \times 8 \\ \\ = \frac{ 1}{4} \times 16 \times 3.14 \\ \\ = 4 \times 3.14 \\ = 12.56 \: miles[/tex]

Hence, length of arc = 12.56 miles

Answer:

2

Step-by-step explanation:

Final answer:

The numbers that have an absolute value of 6 are -6 and 6.

Explanation:

An absolute value represents the distance between a number and zero on a number line. It is always a positive value. In this case, we are looking for numbers with an absolute value of 6. To find these numbers, we need to find all numbers that are 6 units away from zero.

The numbers that have an absolute value of 6 are: -6 and 6. These two numbers are equidistant from zero, with a distance of 6 units in either direction.

So, there are two numbers with an absolute value of 6.

Answer:

The length AB is 23.4in

Step-by-step explanation:

N/B please see the attached detailed diagram for your reference and better understanding

This problem bothers on the mensuration of flat shapes.

The width AB is the chord of the wheel

The radius of the whee r= 25/2= 12.5in

The depth of the wheel in the puddle is 8.1in

Let b be the distance from the surface AB to the diameter

b= 12.5-8.1  = 4.4in

Applying the formula

Chord Length = 2 *√(r²-b²)

=2*√(12.5²-4.4²)

= 2*√(156.25-19.36)

=2*√(136.89

=2*11.7

=23.4in

Answer:

3 ways!

Step-by-step explanation:

Answer:

log72+log749

log749=2

log798=2.356

Step-by-step explanation:

correct answers on edgn

Answer:

Step-by-step explanation:

leg1² + leg2²  = hypotenuse²

AC² + BC² = AB²

2² +  5² = c²

Answer:

2² +  5² = c²

Step-by-step explanation:

2² +  5² = c²

:3

Answer: 282.74

Step-by-step explanation:

V= pi r^2 h = pi * 3^2 * 10 = 282.74

Answer:

common denominator of 1/a + 1/b is  ab

however simplifying the complex fraction gives:   (b-a)/(b +a)

Step-by-step explanation:

common denominator of 1/a + 1/b

should be the product of the denominators

a*b

so   1/a  + 1/b =   (b + a)/ab

ao

( 1/a  - 1/b)  divided by (1/a + 1/b) =  (b - a)/(ab)  divided by (b+a)/ab

To find the common denominator for 1/a and 1/b within a complex fraction, we use ab. The complex fraction (1/a - 1/b) divided by (1/a + 1/b) can be simplified by multiplying the numerator and denominator by ab, leading to a simplified form of (b² - a²) / (a² + b²).

When finding the common denominator for complex fractions like 1/a and 1/b, it's similar to dealing with real numbers. Given the complex fraction (1/a - 1/b) divided by (1/a + 1/b), we can identify a and b as the denominators. To combine the fractions within the complex fraction, we need a common denominator, which is ab. Thus, the fractions would become (b/a - a/b) and (a/b + b/a), both with a common denominator of ab.

In the complex fraction ((1/a - 1/b) / (1/a + 1/b)), by finding the common denominator, we then rewrite the equation as (b/a - a/b) / (a/b + b/a), which simplifies to (b² - a²) / (a² + b²) when multiplied by ab in both the numerator and the denominator. This process of finding the common denominator allows us to combine and simplify the complex fraction.

Answer: w x 4 + 2 = p

Step-by-step explanation:

W = Week

P = Paper

4 kg a week would be 4 x w

you also must add the 2 kilograms at the start of the year

Answer:

33 units

Step-by-step explanation:

volume =area of base x height

volume = 9x (3 2/3)

volume= 33

According to given question, The volume of the rectangular prism is 72 cubic units.

The volume of a rectangular prism can be calculated by multiplying the length, width, and height of the prism. Let's say the length of the prism is 6 units, the width is 4 units, and the height is 3 units.

To find the volume, we use the formula: V = length × width × height. Substituting the given values, we get: V = 6 units × 4 units × 3 units. Multiplying the values, we find: V = 72 cubic units. Therefore, the volume of the rectangular prism is 72 cubic units.

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Answer:

A)The Standard error for difference in proportion is 0.0354

B)The Confidence interval with 95 % for difference in proportion is (0.356 ,0.495)

C)The conclusion is that  proportion of herbicides and no herbicides and having them diagnosed with malignant lymphoma is between 35.6 % and 49.5 % And higher than the proportion to pets in homes where no pesticides were used.

Step-by-step explanation:

Given:

Total dogs which are herbicide =827=n1

diagnosing malignant lymphoma Dogs=473

Total no herbicides Dogs=130=n2

19 were found to have lymphoma.

To Find:

a)What’s the standard error of the difference in the two proportions?

b) Construct a 95% confidence interval for this difference.

c) State an appropriate conclusion

Solution:

The standard error of difference is given by ,

Consider S1 for case 1 (herbicides) and S2 for case 2 (no herbicides)

So

[tex]S1-S2=Sqrt[p1(1-p1)/n1 +p2(1-P2)/n2)][/tex]

Here[tex]p1=473/827[/tex]  =0.578   and   [tex]p2=19/130[/tex]=0.146

[tex]S1-S2=Sqrt[0.572(0.428)/827 +0.146(0.854)/130][/tex]

[tex]S1-S2=Sqrt[2.96e-4 +9.59e-4][/tex]

[tex]S1-S2=Sqrt[0.001255][/tex]

[tex]S1-S2=0.0354[/tex]

This gives the difference between two proportions  0.0354

Now,

For 95 % C.I it is given by  for above difference at Z=1.96

[tex]C.I.=[p1-p2-Z*Sqrt[p1(1-p1)/n1 +p2(1-P2)/n2) ,p1-p2+Z*Sqrt[p1(1-p1)/n1 +p2(1-P2)/n2)][/tex]

[tex]C.I=0.426-1.96*Sqrt[0.57(0.42)/827 +0.146(0.85)/130],0.426+1.96*Sqrt[0.57(0.42)/827 +0.146(0.85)/130][/tex]

[tex]C.I.=(0.356,0.495)[/tex]

The conclusion is that  proportion of herbicides and no herbicides and having them diagnosed with malignant lymphoma is between 35.6 % and 49.5 % And higher than the proportion to pets in homes where no pesticides were used.

Answer:

-8 +12y

Step-by-step explanation:

a positive times a negative is negative so it stays the same

Answer:

x = -5 , y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = -14 | (equation 1)

-2 x - y = 9 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + y = -14 | (equation 1)

0 x - y/3 = (-1)/3 | (equation 2)

Multiply equation 2 by -3:

{3 x + y = -14 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = -15 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -5 , y = 1

Answer:

[tex]2x^{2}+6x[/tex]

Step-by-step explanation:

Perimeter is the distance all round a figure. Given length and width only, then this shale is likely to be a triangle. For a triangle, the area is given by

P=2(l+w)

Where l is the length and w is width.

Substituting w with 3x-4 and l with [tex]x^{2}+4[/tex]

then

[tex]P=2( x^{2}+4 +3x-4)=2( x^{2}+3x)=2x^{2}+6x[/tex]

Therefore, perimeter is [tex]2x^{2}+6x[/tex]

Answer:

563.25 km

Step-by-step explanation:

let [tex]d_1[/tex] be the the distance it takes for the car to get to top speed and [tex]d_2[/tex] be distance traveled can be found by multiplying its top  speed (150 km/h) by the number of hours that it takes for the car to finish the race. The total distance d is given as:

[tex]d=d_1+d_2[/tex]

To get [tex]d_1[/tex], the car is initially at rest (i.e 0 km/h) and then it accelerates to a speed of 150 km/hr within 0.01 hrs. Let u = initial velocity = 0 km/hr, v = final velocity = 150 km/hr and the time taken ([tex]t_1[/tex]) = 0.01 hrs. Therefore:

[tex]d_1=(\frac{v+u}{2} )t=(\frac{0+150}{2} )0.01=0.75km[/tex]

To get [tex]d_2[/tex] , we use the formula [tex]d_2[/tex] = v[tex]t_2[/tex], where v =150 km / hr and [tex]t_2[/tex] = 3.75 hrs. Therefore:

[tex]d_2=150*3.75=562.5km[/tex]

 [tex]d=d_1+d_2=562.5+0.75=563.25km[/tex]

Answer:

The length of the rectangle = 20

The width of the rectangle = 8

Step-by-step explanation:

Step(l):-

let 'W' be the width of the rectangle

Given the length of a rectangle is 4 more than 2 times its width

length of a rectangle(L) = 4+2W

Given the Area of rectangle = 160

Step(ii):-

we know that the area of the triangle = length ×width

                                              (4+2w)w= 160

                                          [tex]2w^{2} +4w-160=0[/tex]

                                         [tex]2(w^{2} +2w- 80)=0[/tex]

                                         [tex]w^{2} +10w-8w- 80=0[/tex]

                                        [tex]w(w +10)-8(w+10)=0[/tex]

                                        [tex](w+10)(w-8) =0[/tex]

                                          [tex]w+10=0 , w-8=0[/tex]

                                          w = -10 and w =8

Step(lll)

we can choose the width is 'w' = 8

now the length of the rectangle = 4+2(8) = 20

The width of the rectangle is '8'

Conclusion:-

The length of the rectangle = 20

The width of the rectangle = 8

Answer: 33.94

Step-by-step explanation:

Last week, Omar filled his gas four times. The amounts of gas he bought are 1.2, 13.7, 5.04 and 14.

To get the total amount of gases bought by Omar, we add all the gases her bought the four times together. This gives:

1.2 + 13.7 + 5.04 + 14 = 33.94

This means that Omar bought a total gas of 33.94 last week.

Answer:

The total amount of gas  Omar bought last week is 33.94

Step-by-step explanation:

Omar filled his gas four times and the amont of gas he bought are 1.2, 13.7, 5.04 and 14.

to estimate the total amount of gases  Omar bought, we will sum up the amount of gas bought

1.2 + 13.7 + 5.04 + 14

= 33.94

Hence, the total amount of gas  Omar bought last week is 33.94

Answer:

Second option is the right choice.

Step-by-step explanation:

[tex]Volume=2\pi rh+2\pi r^2\\\\V=2\left(3.14\right)\left(13\right)\left(14\right)+2\left(3.14\right)\left(13\right)^2\\\\\approx2205\:in^2[/tex]

Answer: the weight of the package of crackers is 323.2 grams

Step-by-step explanation:

Since the weights of packages of crackers are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = weights of packages of crackers.

µ = mean weight

σ = standard deviation

From the information given,

µ = 340 grams

σ = 12 grams

The z score of the package is - 1.4

Therefore,

- 1.4 = (x - 340)/12

Cross multiplying by 12, it becomes

- 1.4 × 12 = x - 340

- 16.8 = x - 340

x = - 16.8 + 340

x = 323.2 grams

Answer: 70 critics

Step-by-step explanation: if 7 critics is 10% of all critics, and if 7 x 10 is 70, then there where 70 critics in total

70 critics reviewed the sequel of My Giant.

The number of critics who reviewed the sequel to My Giant can be calculated using the information given.

7 critics represent 10% of all critics. Let's denote the total number of critics as 'x'.

10% of x = 7 critics.

0.10x = 7

Solving for x, x = 70.

Answer:

there are two solutions

Step-by-step explanation:

x=10

x=-10

Answer:

144 feet

Step-by-step explanation:

The quadratic equation is:

[tex]h(t)=-16t^2+96t[/tex]

The general form of a quadratic is  [tex]ax^2+bx+c[/tex]

So, we can match the equations and say:

a = -16

b = 96

c = 0

Now, for quadratic equations, the max value occurs at [tex]x=-\frac{b}{2a}[/tex] and the max value is what we get when we put that number in the function. First, lets find the value on which is occurs:

[tex]x=-\frac{b}{2a}\\x=-\frac{96}{2(-16)}\\x=3[/tex]

Now, put x = 3 into the equation:

[tex]h(t)=-16t^2+96t\\h(3)=-16(3)^2+96(3)\\h(3)=144[/tex]

The max height of projectile is 144 feet

Answer:

The answers D

Step-by-step explanation:

Answer:

its: A

Step-by-step explanation:

The point which is the center or the middle point is located at the middle of the circle.

Answer:

Correct option: fourth one: ∠Z = ∠W and ∠X = ∠U

Step-by-step explanation:

There are 3 cases that gives similarity of two triangles:

Side-Angle-Side: They should have 2 sides and 1 angle in common

Side-Side-Side: They should have all 3 sides in commom

Angle-Angle: They should have 2 angles in common (therefore the third angle will also be equal)

In the first option, we have a pair of sides being parallel. That is not enough to prove similarity.

In the second option, two angles of the same triangle are equal, that's not enough, because the angles between each triangle can be different.

In the third option, two side of the same triangle are equal, that's not enough.

In the fourth option, two angles of the triangles are equal to each other, so this is the third case mencioned above, therefore it proves the similarity.

Correct option: fourth one.

Similar triangles may or may not be congruent.

The relationship that must be true for [tex]\mathbf{\triangle ZYZ \sim \triangle WVU}[/tex] is  (d) [tex]\mathbf{\angle Z \cong \angle W }[/tex] and [tex]\mathbf{\angle X \cong \angle U }[/tex]

From the question, we understand that: [tex]\mathbf{\triangle ZYZ \sim \triangle WVU}[/tex]

The above means that, both triangles are similar (but not congruent). This means that:

In other words

[tex]\mathbf{\angle Z \cong \angle W }[/tex],  [tex]\mathbf{\angle X \cong \angle U }[/tex] and [tex]\mathbf{\angle Y \cong \angle V }[/tex]

Hence, the true relationship is (d) [tex]\mathbf{\angle Z \cong \angle W }[/tex] and  [tex]\mathbf{\angle X \cong \angle U }[/tex]

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