Which pair of angles has congruent values for the sin x° and the cos y°?
35°; 55°
35°; 70°
35°; 145°
35°; 35°

Answer:

[tex]15,000\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by [tex]V=s^2\cdot h[/tex], where [tex]s[/tex] is the base length and [tex]h[/tex] is the height. Substituting given values, we have: [tex]V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}[/tex]

The volume of a trapezoidal prism is given by [tex]V=\frac{b_1+b_2}{2}\cdot l\cdot h[/tex], where [tex]b_1[/tex] and [tex]b_2[/tex] are bases of the trapezoid, [tex]l[/tex] is the length of the height of the trapezoid and [tex]h[/tex] is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ([tex]\frac{b_1+b_2}{2}[/tex]) multiplied by the trapezoid's height ([tex]l[/tex]).

Substituting given values, we get:

[tex]V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}[/tex]

Therefore, the total volume of the composite figure is [tex]5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}[/tex] (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

[tex]V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark[/tex]

Answer:

2x-2+2x-2+x+x=50

6x-4=50

6x=54

x=9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

When you are raising a power to a power, you can multiply them:

[tex](49^3)^{\frac{1}{6}}=49^{3*\frac{1}{6}}[/tex] = [tex]49^{\frac{3}{6}}[/tex] = [tex]49^{\frac{1}{2}}[/tex]

When raising a number to the power of 1/2, you are basically finding the square root of the number:

[tex]49^{\frac{1}{2}}[/tex] = [tex]\sqrt{49}[/tex] = 7

Answer:

1,317,840

17×17=289×16=4,624×19=87,856×15=1,317,840

Answer:

175 ways

Step-by-step explanation:

5 balls are red, and 7 balls  are blue making a total of 12 balls.

4 balls are drawn from the box,

1 ball is red and 3  balls are blue out of the 4 drawn from the box.

We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.

Since the order is not essential we use combinations to find out

5C1 * 7C3= 5*35 = 175 ways

Answer:

2x²−13x+21

Step-by-step explanation:

Answer: x+4/x-4

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

m arc AC = 90°

_____________

The measure of the arc length AC is 90 degrees.

The arc length of a circle is the distance between two points on the curve of the circle.

We have,

The arc length and the angles with the center on a circle are equal.

So,

Arc length AC makes a 90-degree angle with the center of the circle.

Now,

Arc AC = 90 degrees.

Thus,

The measure of the arc length AC is 90 degrees.

Learn more about arc lengths here:

https://brainly.com/question/16403495

#SPJ7

Answer:

you need all answers????

The correct answer is n - 7 = 30

Answer:

x = 9

Step-by-step explanation:

When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lenfgths of the segments of the other chrod.

That means that

2x = 3 × 6

2x = 18

x = 9

Answer:

k = 24·√2

Step-by-step explanation:

Given that the angles of the triangle are 45° by 45 by 90°, we have;

The given right triangle = An isosceles right triangle by two angles being equal

The given angle of the right triangle = 90°

The given leg of the right triangle = 24

For an isosceles right triangle, both legs are equal, therefore;

The length of the other leg of the right triangle = 24

By Pythagoras theorem, the measure of the side opposite the 90° side, 'k', is given as follows;

k² = (One leg length)² + (The other leg length)²

∴ k² = 24² + 24² = 1152

k = √1152 = 24·√2 ≈ 33.94.

Answer:

it's 19 degrees because it's a 90 degree angle

Answer:

19 degrees

Step-by-step explanation:

90-71=is 19 because it is a 90 degree angle.

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\rm{YOUR\ EQUATION: \dfrac{x}{2}}[/tex]

[tex]\large\text{If x = 16, then substitute it where the x-value is in the given equation}[/tex]

[tex]\rm{NEW\ EQUATION: \dfrac{16}{2}}[/tex]

[tex]\rm{\dfrac{\bold{16}}{{2}}[/tex]

[tex]\rm{= \underline{\bf 8}}[/tex]

[tex]\large\text{Because, 8}\times\large\text{2 gives you 16}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf Option A. 8}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

So sin in math means:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin.

Con in math means:

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.

in this case it has to be a sin. So its either A, or B.

ii think a tho

Answer:

(a)

Step-by-step explanation:

Sin (37) = x/10.3

using trigonometric identity (Sin θ = AC/AB)

Answer:

8. hope this helps

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

Answer:

D

Step-by-step explanation:

Ratio of oranges to tangerines : 5/3

Oranges in box : 20

Tangerines in box : x

Oranges/Tangerine ratio = Oranges/Tangerine in box

5/3 = 20/X

Answer:

?????????????????????

Answer:

(1, -2)

Step-by-step explanation:

The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.

For your given point (2, -4) with a scale factor of 0.5:

2 times 0.5 = 1

-4 times 0.5 = -2

Therefore your new point will be (1, -2).

Answer:

79 degrees

Step-by-step explanation:

79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees

Answer:

[tex]79^{\circ}[/tex]

Step-by-step explanation:

From vertical angles, [tex]m\angle a=79^{\circ}[/tex]

From corresponding angles, [tex]m\angle b=m\angle a[/tex]

Therefore, we have [tex]m\angle b=m\angle a=\boxed{79^{\circ}}[/tex]

Answer:

1.anlyatical engine

2.difference engine

Answer:

Inventions of Charles Babbage :

Answer:

(1/2)^2= 0.25 thank you

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

31+111+x=180(sum of interior angle of a triangle is 180 degree)

142+y=180

y=180-142

y=38 degree

x=y(being alternate angles)

x=38 degree

Answer:

13 i think

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

Answer:

Spirometer measurement is the most appropriate instrument to use

Step-by-step explanation:

a = 3√3

a = 3 × 1.732

a = 5.196

a = 5.2 inches