What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°

Answer:

heya! ^^

here , we've been given a right angled triangle along with the measure of two of its sides.

and , we've to find the measure of its third side.

so , we'll be using Pythagoras Theorem to find the measure of the third side.

but first , let's take a look at what Pythagoras Theorem is-

Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.

according to the figure ,

side AB = hypotenuse = 60 cm

side AC = perpendicular = 48 cm

side BC = base = a

now by using Pythagoras Theorem ,

[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]

therefore ,

option ( 4 ) 36 is correct.

hope helpful :D

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \\ [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]

Therefore,

find the sum of all the values and divide the sum by the number of values.

[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]

[tex] = 72.86[/tex]

arrange the values in either ascending or descending, and find the number in the middle.

[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]

[tex] = 61[/tex]

the most frequently occurred number.

[tex] = 60[/tex]

arrange the values in ascending order and subtract the lowest value from the highest one.

[tex]98 - 57[/tex]

[tex] = 41[/tex]

Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]

Answer:

l = 6[tex]a^{4}[/tex] + 2a - 1

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width )

given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then

3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )

w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1

Answer:

1.65°

2.115°

3.132°

4.48°

5.67

MARK A BRAINLESS THIS ANSWER

Answer: 10 feet

The ratios:

1 inch : 2 feet

5 inch : x feet

Finding x:

1 * 5 = 5

2 * 5 = 10

             The real robot would be 10 feet tall.

Answer:

10 inches

Step-by-step explanation:

because 1 in= 2 ft
we can multiply 5 by 2 which is 10

your answer is 10 ft tall.

Answer:

Option D

Step-by-step explanation:

Given equation:

This equation can be solved by:

Subtracting 2 both sides of the equation (according to step 1):

Dividing -4 to both sides of the equation (according to step 2):

Therefore, Option D is correct.

Learn more about this topic: https://brainly.com/question/27460957

Answer:

d) 4

Step-by-step explanation:

Solving for the value of x,

→ -4x + 2 = -14

→ -4x = -14 - 2

→ -4x = -16

→ x = -16/-4

→ [ x = 4 ] {option d}

Verification of the value of x,

→ -4x + 2 = -14

→ -4(4) + 2 = -14

→ -16 + 2 = -14

→ -14 = -14

→ [ LHS = RHS ]

Hence, the value of x is 4.

Answer:

x=238 plus 0

Step-by-step explanation:

think

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

Answer:

D. 94.25

Step-by-step explanation:

Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle

The formula for the area of a triangle is: base x height x 1/2

11 x 10 x 1/2 = 55

To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14

So the radius is 5 since 10 is the diameter of the circle

Now we have to square that which is 25

Multiply 25 by 3.14 which is 78.5

Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25

Now you have to add those two areas and that will get your final answer

55+39.25 is 94.25

So the area for this figure is 94.25 square inches

Answer:

Step-by-step explanation:

Guiding Statement

You must find x before you can find y. If an altitude is dropped from the right angle to the hypotenuse, then the value of the altitude = the two parts of hypotenuse multiplied together = the altitude squared.

Formula

Perhaps, instead of all that language, it is easier just to show you this in terms of what you have been given.

Solution

x^2 = 72                        Factor 72 into prime factors.

x^2 = 8 * 9

x^2 = 2 * 2 * 2 * 3 * 3    Take the square root of both sides.

√x^2 = √(2 * 2 * 2 * 3 * 3)  

Rule

For every pair of equal prime factors, take 1 factor outside the root sign and throw the other one away.

√x^2 = √(2 * 2 * 2 * 3 * 3)

x = √(2 * 2 * 2 * 3 * 3)                 Apply the rule

x = 2 * 3 √2

x = 6√2

Now with y

a = 6√2

b = 12

c = y Use the Pythagorean Theorum

c^2 = a^2 + b^2

c^2 = (6√2)^2 + 12^2

c^2 = 36*2 + 144

c^2 = 72 + 144

c^2 = 216

c = 6 √6

answer

x = 6√2

y = 6√6

35% are in display cases which means 65% are on the wall.

this means 195 cars is 65% of the collection.

to get total number of cars in the collection divide 195 by 65%

195/0.65 = 300

answer: 300 total cars

Answer:

24 days

Step-by-step explanation:

lowest common multiple of 12 and 8 is

24

For them to exercise together again, the day must be a common multiplier of 12 and 8

12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]

So, their LCM is [tex]2^{3} .3 = 24[/tex]

=> After 24 days, they will exercise together again.

Answer:

Step-by-step explanation:

Use tigonometry to find the value of d

Answer:

497 m (nearest whole number)

Step-by-step explanation:

As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.

Sine trigonometric ratio

   [tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

From inspection of the given diagram:

Substitute the values into the formula and solve for d:

[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]

[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf H=497.0263891...[/tex]

Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).

Answer:

C

Step-by-step explanation:

Find area of all trinagles and subtract that by total area of square.

Answer:

c. X^2 - 4

Step-by-step explanation:

Replace X with Y

X = Sqrt(Y+4)

square both sides to solve for Y

X^2 = Y+4

subtract 4 from both sides

X^2 - 4 = Y

answer option C is correct

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

Answer:

600 cm squared :)

Step-by-step explanation:

Surface area of cube: 6 x s^2

Now lets solve!!

6 x 10^2

6 x 100

600

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

5.291 x 10⁶

Step-by-step explanation:

Why is 5,291,000 written as 5.291 x 106 in scientific notation?

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 5,291,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 5,291,000

New Number: 5.291000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 5 . 2 9 1 0 0 0

Decimal Count: 1 2 3 4 5 6

There are 6 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 5.291 (Please notice any zeroes on the end have been removed)

b = 6

Now the whole thing:

5.291 x 10⁶

Step 4

Check your work:

10⁶ = 1,000,000 x 5.291 = 5,291,000

Answer:

Trapezoid

Explanation:

A trapezoid does not have two pairs of parallel sides.

Answer: D. Trapezoid

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

the given angles are vertically opposite and are congruent , then

4x - 5 = x + 16 ( subtract x from both sides )

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Answer:

(-5, - 10 )

Step-by-step explanation:

y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6

under a reflection in this line the x- coordinate of the point V is the same

V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6

the reflected point will therefore be 4 units below y = - 6, that is - 10 , then

V (- 5, - 2 ) → V' (- 5, - 10 )

Answer:

Step-by-step explanation:

Make the x-values same and solve for m

Let's see

x must be equal on both sides as it's not a function

I have no idea thank me for my help

Answer:

the amount of space a 3-dimensional object takes up

Step-by-step explanation:

Of the four definition options, the first is the only only that incorporates a three dimension explanation.  The others only describe a two dimension object.  Units for the first would be unit^3.  The other three would only be one-dimensional "units."

He can Have Brainliest Now!