What is the volume of the prism?

Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]

Given:

In a right triangle ABC,

[tex]\sin M=\cos 61^\circ[/tex]

To find:

The value of M.

Solution:

We have,

[tex]\sin M=\cos 61^\circ[/tex]

It can be rewritten as:

[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]

[tex]\sin M=\sin 29^\circ[/tex]                   [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]

On comparing both sides, we get

[tex]M=29^\circ[/tex]

Therefore, the value of M is 29 degrees.

Answer:

its the first, 3rd, and 5th option

Step-by-step explanation:

Answer:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Step-by-step explanation:

The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.

Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]

Using a calculator, we can help verify this

[tex]\sqrt{97} \approx 9.85[/tex]

Answer:

D. TU is a midsegment

Step-by-step explanation:

Answer:

x + y = 248

Step-by-step explanation:

Using the property : Sum of co- interior angles = 180

[tex]\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ[/tex]

The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

According to the definition, the value of 'x' and 'y' will be equal.

And the sum of adjacent angles will be 180 degrees. Then the equation is given as,

x + 56° = 180°

x = 124°

The sum of 'x' and 'y' is given as,

x + y = 124° + 124°

x + y = 248°

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ2

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

Step-by-step explanation:

$ 28.50

minus $ 0.00

FINAL Price » $ 28.50

Note: Sales Tax Not Included

Savings » $ 9.50

Effective % Off » 25%

Answer:

$28.5

Step-by-step explanation:

100% - 25% = 75% (so you don't have to add or subtract anything)

38 * .75 = 28.5

=$28.5

Answer:

8xy

Step-by-step explanation:

(5xy)-(-3xy)= 5xy+3xy=8xy

Why:

Well if you have 5 of that something and get 3 more of that something you have 8 of that something.

Answer:

8xy

Step-by-step explanation:

5xy--3xy

a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.

Answer:Its the last one to the left up

Step-by-step explanation:

Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km

Answer:

The smallest increment is 10 V and the uncertainty is 5 V.

Answer:

The answer is option C

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

Answer:

4 – 5x = 59, x = -11

Step-by-step explanation:

The given equations is :

4 – 5x = 59

Subtracting 4 both sides,

4 – 5x -4 = 59-4

-5x = 55

Dividing both sides by -5.

x = -11

So, the answer of the given equation is -11.

Answer:

4 cm per hour that's the answer

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Answer:

Step-by-step explanation:

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Answer:

Step-by-step explanation:

30% mark represents:

So

The difference is:

Answer:

25 students

Step-by-step explanation:

Answer:

(x - 1)^2

Step-by-step explanation:

using middle term break method

x^2 - 2x + 1

here, we need to numbers which gives 1 when multiplied and 2 when add .

=x^2 - (1 + 1)x + 1

=x^2 - x - x + 1

=x(x - 1) -1(x - 1)

=(x -1)(x - 1)

=(x - 1)^2

Step-by-step explanation:

by middle term factorisation method

x^2 -2x + 1

= x^2 -( 1+1)x + 1

= x^2 -x -x + 1

= x(x-1) -1( x -1)

= (x-1)(x-1)

OR

we know above polynomial ( quadratic ) equation is in form

(a - b )^2 = a^2 -2ab + b^2

so it's factories form is

( a- b)( a- b)

Step-by-step explanation:

The general form of a linear equation is given by :

y = mx +b

Where

m is the slope

b is the y-intercept

(a) y = 2x - 3

It is in the form of a linear equation.

Standard form, y =2x+(-3)

(b) The equation is 4x = 2y

or

2y = 4x

y = 2x + 0

It is in the form of a linear equation with slope of 2 and y-intercept of 0.

Answer:

B=8

Step-by-step explanation:

you add 19 to both sides of the equation to get B by itself.

[tex]B=-11+19\\B=8[/tex]

answer:

8,

reason

11+8=19

alalalalalalalaalalalalal

20character minimum^

Answer:

2:45

Step-by-step explanation:

2:45

First one is B (43) and the second one is C (35)!