What is the measure of A

Answer:

m<1 = 76°

m<2 = 76°

m<3 = 49°

Step-by-step explanation:

✔️m<1 = 180 - (47 + 57) (sum of triangle)

m<1 = 76°

✔️m<2 = m<1 (vertical angles are congruent)

m<2 = 76° (substitution)

✔️m<3 = 180 - (55 + m<2) (sum of triangle)

m<3 = 180 - (55 + 76) (substitution)

m<3 = 49°

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]

Answer:

P(S on 2 S on 1) = 0.80000

P(S on 10 S on first 9) = 0.799996

P(S) = 0.8

Step-by-step explanation:

Given :

P(S on 2 S on 1)

= 399, 999/499, 999

= 0.80000

P(S on 10 S on first 9)

= 399, 991/499, 991

= 0.799996

P(S) = 0.8

32/p=10/440

10p=14080

p=1408

Answer:

The answer would be (1,4)

Step-by-step explanation:

Answer:

108 calories per cup

Step-by-step explanation:

9514 1404 393

Answer:

  -35

Step-by-step explanation:

Put the values where the corresponding variables are and do the arithmetic.

  1 + hk + j

  = 1 + (-5)(6) +(-6)

  = 1 -30 -6

  = -35

Answer:

Graph D

Step-by-step explanation:

Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.

The graph D shows the point R(0, 4).

Given are four graphs we need to determine which graph shows the point R(0, 4),

A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.

The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.

Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.

Hence the graph D shows the point R(0, 4).

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Answer:

y=3

B.Slope is -6 Y intercept is 0.5

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

We make

4/1 divided by 4/3 = 5 1/3

Answer:

1. 44.3

2. 4.43

3. 0.443

Step-by-step explanation:

Answer:

the 2nt one is also 4.43, and the third one is 2.215 i think

Step-by-step explanation:

Answer:

B. 73°

Step-by-step explanation:

The triangle is an isosceles triangle as it has 2 equal sides. This implies that the angles opposite to the two equal sides are of the same measure.

Therefore,

x = (180 - 34) ÷ 2

x = 146 ÷ 2

x = 73°

Answer:

(-1,-1),(1,-4)

Step-by-step explanation:

it is the wright answer

Answer:

I believe that 15% of 34.95 would be 5.24

Step-by-step explanation:

Answer:

= -1/2

Step-by-step explanation:

F=1/4(-2)

F=-1/4(2)

F=-1(2)/4

F=-2/4

F= -1/2

Answer:

da answerr is six

if DF is 6 and all sides are equal in length the EF side is going to be 6 as well

Your answers are right because the x's can not repeat

so 1.it is a function

2.it is a function

3.it is not a function bc "d" and "m" both repeat 2 times

4.it is not a function bc 2 repeats 2 times

Hope this helps

Have a great day/night

Feel free to ask any questions  

Answer:

Xy-3x

Putting the values of x and y into the expression,

We have 4(5)-3(4)

20-12

8

Answer:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]

Required

Solve

Let

[tex]u = \frac{x^2}{4}[/tex]

Differentiate

[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]

[tex]du = 2 * \frac{x}{4}\ dx[/tex]

[tex]du = \frac{x}{2}\ dx[/tex]

Make dx the subject

[tex]dx = \frac{2}{x}\ du[/tex]

The given integral becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2= 4u[/tex]

Square both sides

[tex]x^4= (4u)^2[/tex]

[tex]x^4= 16u^2[/tex]

Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]

Simplify

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

In standard integration

[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]

So, the expression becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Answer:

9 cans of soup and the 4 frozen dinners were purchased

Step-by-step explanation:

Let x represent the number of cans of soup purchased.

Let y represent the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13

Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that

250x + 550y = 4450 - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9

9514 1404 393

Answer:

  21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

  a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

  a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

__

We need to know the angle A. Its value is ...

  A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

  a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

  a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

Answer:

Step-by-step explanation:

area of base = 22in×12in = 264 sq in

Height of tank = volume/(base area) = 3960/264 = 15 inches

Lateral area = 2(22 × 15) + 2(12 × 15) = 660+360=1020 sq in

Surface area = base area + lateral area= 264+1020=1284 sq in

Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.which means

To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.

So, the expression can be rewritten as 5.3 raised to the power of 4, or [tex]{(5.3)}^4[/tex].

The formula for expressing a number multiplied by itself n times as a power is: [tex]a^n[/tex]

In this case, a is 5.3 and n is 4.

To evaluate the expression, we can simply multiply 5.3 by itself four times:

5.3 x 5.3 x 5.3 x 5.3 = 6241.03

Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as [tex]{(5.3)}^4[/tex], which is equal to 6241.03.

In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.

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Answer:

6.28 m^2  

Step-by-step explanation:

4^2 x Pi=area of full circle

45 degree segment =1/8 of a full circle

16x3.14159=50.27 m^2                  area of full circle

50.27/8=6.28 m^2             area of 1/8 circle

Answer:

90 square meters

Step-by-step explanation:

Formula for sector area--- SECTOR AREA=r^2 a/2

*Multiply the central angle by the radius squared- 45×4=180squred meter

*then, Divide by 2- 180÷2=90

Answer. 32

Step-by-step explanation:

20+4+2+6=32

Answer:

c, a, d

Step-by-step explanation:

I think?

Answer:

The solution of the given inequality    [tex]x < \frac{c+ b}{a}[/tex]

Step-by-step explanation:

Explanation:-

Given that the constants a, b, and c are positive

Given inequality     a x - b < c

Adding 'b' on both sides, we get

                             a x - b + b < c

                       ⇒  a x < c + b

Dividing 'a' on both sides, we get

                            [tex]x < \frac{c+ b}{a}[/tex]