sin 58 is equal to the cosine of what angle measure


1. 90
2.0
3. 32
4. 122
5. 58
6. 85

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

Answer: 28,665 currency units

Step-by-step explanation:

Find the value of the car after 4 years using the Future value formula:

= Amount * ( 1 + rate) ^ no. of years

= 33,750 * ( 1 + (-4%))⁴

= 33,750 * 0.84934656‬

= 28,665.45

= 28,665 currency units

Answer:

1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b

Step-by-step explanation:

1- π radians = 180°

so 3π/10=(3*180)/10=54°

2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:

x=arc length of HN

150/360=x/2πr

5/12=x/2*6π

5/12=x/12π

12*5π=12x

x=5π

3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:

a=area of the shaded region

30/360=a/πr^2

1/12=a/36π

36π=12a

a=3π

4- a slice of a 16 inch pizza has an area of 64π/8=8π

two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π

therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.

5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2

h=x-coordinate of the center point k= y-coordinate of the center r=radius

in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6

we plug in

(x – 11)^2+ (y – 6)^2=36

6- h=7 k=-6 so the center is (7,-6)

radius=5

8- center=(1,3) and radius=2

so the graph that corresponds to these values is b

Answer: Smaller

Step-by-step explanation:

Multiplying a number by 1.25 increases it by a quarter

Multiplying a number by 0.75 decreases it by a quarter

1.25 / 0.75 = 0.9375

Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]

[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]

Therefore, (1/7)³ = 1/343, implying that the answer is option (D).

Hope it helps. :)

Answer:

D, 1/343

Step-by-step explanation:

The total distance around the track is 332.2 meters

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

[tex]C = 2\pi r[/tex]

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Answer:

total surface area = 288 m2

lateral surface area  = 192 m2

top surface area = 48 m2

bottom surface area  = 48 m2

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

Step-by-step explanation:

x = 15 as sum of exterior angles is 360⁰

pur value of x and get each answer

I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?

1. Hebron bank). 2.hospital 3.pizza city 4. Jimmy Girll

Answer:

0 h= 0 mi

1 h = 60 mi

2 h = 120 mi

3 h = 180 mi

Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Answer: 56

Step-by-step explanation: 7 * 2 * 4 = 56

Answer:

V = 56

Step-by-step explanation:

Rectangle prism Volume:

V = whl

Given:

w = 4

h = 2

l = 7

Work:

V = whl

V = (4)(2)(7)

V = 56

Answer:

LCM= 3300

HCF=4

Step-by-step explanation:

Answer:

Q= (5,4)

Step-by-step explanation:

The x value went up by 4 units and the y value up by 6 units from the first point to the midpoint. Since the midpoint is equal distance from both points, we know it will go up by the same amounts for Q.

so 1+4= 5

-2+6= 4

hope this helps chu <3

Step-by-step explanation:

lateral surface area here = πrl

r = 10

l = √h²+r²= √ 24²+ 10² = 26

lateral surface area = 10 × 26 × π

= 260π in²

hope this will be helpful to you .

plz mark my answer as brainlist if you find it useful.

Answer:

The lateral area of cone is 260π in².

Step-by-step explanation:

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Finding the slant height of cone by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]

Hence, the slant height of cone is 26 in.

[tex]\begin{gathered}\end{gathered}[/tex]

Now, finding the lateral area of cone by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]

Therefore, the lateral area of cone is 260π in².

[tex]\rule{300}{2.5}[/tex]