a² + b² = c²

a = x
b = x
c = 9√2

please help me find the value of x, asap!

Answer:

Take the angle above 128° as x.

x = 180 - 128 (linear pair)

x = 52°

a = ?

a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )

a = 180 - 125

a = 55°

Answer:

135

Step-by-step explanation:

360-90=270

270/2=135

Answer:

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg

The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

Answer:

-4 to 6

Step-by-step explanation:

The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.

Answer:

theyre vertical angles and x is 16

Step-by-step explanation:

7x+16=128

7x=128-16

7x=112

x=112/7

x=16

hope i helped! mark as brainliest pls <3

Answer:

Vertical x = 16

Step-by-step explanation:

(7x + 16) = 128

7x = 128 - 16     -------    7x = 112

x = 112 ÷ 7

x = 16

Answer:

c. 67.5 cm^3

Step-by-step explanation:

V=whl

v=5*3*4.5

v=15*4.5

v=67.5 c^3

So C would be correct

Hope i helped, Brainliest would be appreciated!

Have a nice day!

 -Aadi x

Answer:

A

Step-by-step explanation:

I did the math and i have no doubt

Answer:

$2

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

7^2=49

49/2=24.5

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

These triangles are congruent.

Now, In both triangle shown in figure have;

⇒ One side is common. (Diagonal)

⇒ Two sides are equal.    (Given)

⇒ One pair of angle in both triangle are equal.

Hence, We get;

⇒ By SAS congruent theorem both triangles shown in figure are congruent.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

The dimensions of the box are;

2 feet, by 2 feet, by 4 feet

Step-by-step explanation:

The given parameters are;

The volume of the closed box = 16 ft³

The material with which the top is made = The material with which the bottom is made

The cost of the material with which the top and bottom is made = 10 cents/(ft.²)

The cost of the material with which the side is made = 5 cents/(ft.²)

Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;

x·y·z = 16...(1)

The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z

∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)

From equation (1)

z = 16/(x·y)

Therefore, we have;

20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)

20·x·y + 160/(y) + 160/(x)

Differentiating, we get;

f'(x) = 20·y - 160/x²

f'(y) = 20·x - 160/y²

20·y - 160/x² = 0

y = 8/x²

20·x - 160/y² = 0

x = 8/y²

∴ x = 8/(8/x²)² = x⁴/8

8 = x⁴/x = x³

x = ∛8 = 2

The length, x = 2 feet

y = 8/x² = 8/2² = 2

The width, y = 2 feet

z = 16/(x·y) = 16/(2 × 2) = 4

The height of the box, z = 4 feet

Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.

Answer: D

Step-by-step explanation:

First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.

hope this helps :)

Answer:

C. The value of a baseball card that is decreasing by $0.75 every 4 years.

Step-by-step explanation:

The exponential function would represent a mathematical function in the form of f(x) = a^x

where

x denotes the variable

a denotes the constant

So according to the given options, the option C would represent the exponential function

Hence, the option c is correct

Answer:

six children

Step-by-step explanation:

six children in four groups, total of 24 children

24/4=6

Answer:

6

Step-by-step explanation:

because 24÷4=6 that is the answer

Answer:

A

Step-by-step explanation:

A

9514 1404 393

Answer:

  minimum z: 3050

Step-by-step explanation:

The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).

The minimum value of z is ...

  30·59 +40·32 = 3050

Answer: hi

Step-by-step explanation:

Answer:

13: 40

Step-by-step explanation:

as 650 ml is given

so 2l = 2000 ml

ratio = 650 / 2000

13/40

13:40

Step-by-step explanation:

what thanks for free points btw

Answer:

not sure ans sorry if its wrong but i think its 8.75

Answer:

212 miles

Step-by-step explanation:

the boat is going 4mph so in 53 hours it would be 212mi

Answer:

$23.00 each

Step-by-step explanation:

$69 / 3 people = $23 from each person

Answer:

=25+2squared

Step-by-step explanation:

simple like terms

36-11=25

-5squared+7squared=2squared

=25+2squared

Answer:

49

Step-by-step explanation:

[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]

[P.E.D.M.A.S rule] (First exponents)

= 36 - 25 + 49 - 11. (Then addition)

= 36 + 49 - 25 - 11

= 85 - 36. (At last subtraction)

= 49 (Ans)

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.