The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?

Answer:

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.

Step-by-step explanation:

Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)

The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.

Given :

The side length of the smaller square can be calculated as:

[tex]a^2 = 64[/tex]

a = 8

The side length of the larger square can be calculated as:

[tex]b^2 = 225[/tex]

b = 15

So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.

[tex]\rm H^2=P^2+B^2[/tex]

Now, substitute the values of known terms in the above expression.

[tex]\rm H^2=(8)^2+(15)^2[/tex]

[tex]\rm H = \sqrt{64+225}[/tex]

H = 17 cm

Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

Down

3

2

Step-by-step explanation: on edge trust me.

Answer:

Adding –2i to z results in a shift  ✔ down . The resulting number is   ✔ 3  –  ✔ 2 i.

Step-by-step explanation:

just did it on edge :)

good luck

please mark me brainliest!!

Answer:

-3

Step-by-step explanation:

If we substitute the blank in for x, it will make the problem easier.

Divide each side by 4 to isolate x

Solve, negative 12 divided by four is 3. So:

Answer:

Volume is 718 cm^3

Step-by-step explanation:

We need to get the radius of cylinder A

From the base area,

we have that;

A = pi * r^2

18 = 3.142 * r^2

r^2 = 18/3.142

r^2 = 5.73

r= √5.73

r = 2.39

If two shapes are similar, we have the ratio of their corresponding sides equal;

Thus;

2.39/5 = x/10

x = (10 * 2.39)/5

x = 4.78 cm

To get the volume, we use the formula

V = pi * r^2 * h

V = 3.142 * 4.78^2 * 10

V = 717.8 cm^3

This is approximately 718 cm^3

Answer:

x = 62.96°

Step-by-step explanation:

From the attached figure,

Base, b = 10 ft

Hypotenuse, H = 22 ft

We need to find the value of x. We can use trigonometry to find it.

We know that,

[tex]\cos\theta=\dfrac{B}{H}[/tex]

Putting all the values,

[tex]\cos x=\dfrac{10}{22}\\\\x=62.96^{\circ}[/tex]

So, the value of x is 62.96°.

Answer:

Y=10

x=14.14

Step-by-step explanation:

Because the two smaller angles are equal, it is an isosceles triangle with both legs equal in length.

so y=10

By the Pythagorean theorem, x^2=10^2+10^2

x^2=200

x=14.14

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin:

[tex](x,y)\to (-y,x)[/tex]

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

Answer:

x = 1.636364

x = 1.64 (simplified)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.7x=1.8−0.4x

0.7x=1.8+−0.4x

0.7x=−0.4x+1.8

Step 2: Add 0.4x to both sides.

0.7x+0.4x=−0.4x+1.8+0.4x

1.1x=1.8

Step 3: Divide both sides by 1.1.

1.1x/1.1=1.8/1.1

x=1.636364

x = 1.64 (simplified)

Answer:

x = 1.636364

Explanation:

0.7x = 1.8 − 0.4x

0.7x = 1.8 − 0.4x

0.7x = 1.8 + −0.4x

0.7x = −0.4x + 1.8

0.7x + 0.4x = −0.4x + 1.8 + 0.4x

1.1x = 1.8

Divide both sides by 1.1

1.1x / 1.1 = 1.8 / 1.1

- PNW

Answer:

33

Step-by-step explanation:

44 - 25% off is 33

Answer:

62.5% of the parking spaces are taken.

Step-by-step explanation:

Given

To determine

What percent of the parking  spaces are taken?

The percentage of taken spaces of the part can be determined using the formula

% of Taken spaces = [Taken spaces / Total Spaces ] × 100

                               = [1875 / 3000] × 100

                               = 0.625 × 100

                               = 62.5%

Therefore, 62.5% of the parking spaces are taken.

Answer:

1800 screws per hour

Step-by-step explanation:

Answer:

49.298

Step-by-step explanation:

Radio × π²

5×3.14²

5×9.8596

49.298

X=1    Y=0

Y-12X+15+3X^2-16X+13-Y=3X^2

-12X+15-16X+13=0

-28X+28=0

X=1

Y=3-16+13=0

Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.

Step-by-step explanation:

1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.

2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.

Answer:

The sales tax is 4%

Step-by-step explanation:

hope this helps plz mark brainliest

Answer:

94.15

Step-by-step explanation:

15.5 x 3.5=  54.25

22.8 x 1.75=  39.9

54.25+39.9=94.15

Answer:

The answer is Battle of Midway

Step-by-step explanation:

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

Answer:

Step-by-step explanation:

slope of required line=5

point is (-1,0)

reqd. eq. of line is

y-0=5(x-(-1))

y=5(x+1)

y=5x+5

Answer:

its 6900000

Step-by-step explanation:

6hue and 388

Answer:

Pizza 5 4 9

Pasta 1 5 6

Salad 3 2 5

Total 9 11 20

The percentage error in the acceleration is 11.3%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The actual acceleration of the object is 9.80 meters per second.

The acceleration of an object is 10.91 meters per second.

Now,

Percentage error.

= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100

= (10.91 - 9.80) / 9.80 x 100

= 1.11 / 9.80 x 100

= 11.33 %

Thus,

The percentage error is 11.3%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

B = A–1, then A = B–1.​ This statement is true. The inverse of a matrix is unique, so if B is the inverse of A, then A must be the inverse of B.

An arrangement of integers in both columns and rows is known as a matrix. learns about matrices' components and dimensions and first presents them. A matrix is a rectangular grid with integers arranged in rows and columns.

The statements that are true about inverse matrices are:

Not all square matrices have inverses. A square matrix only has an inverse if its determinant is not equal to zero. If the determinant of a square matrix is zero, it is called a singular matrix and does not have an inverse.

If A and B are inverse matrices, then A and B must be square matrices. This is because only square matrices can have inverses.

The determinant of a singular matrix is equal to zero. This is because the determinant of a matrix is related to the linear independence of its columns or rows. A singular matrix has linearly dependent columns or rows, which means its determinant is zero.

If A and B are inverse matrices, then A + B = I. This is not necessarily true. In general, the sum of two inverse matrices is not necessarily the identity matrix.

If A and B are inverse matrices, then det(A) x det(B) = 1. This statement is almost true, but the correct statement is det(A) x det(B) = det(AB) = 1.

Any zero matrix does not have an inverse. This is because the determinant of a zero matrix is zero, and therefore it is singular and does not have an inverse.

If B = A–1, then A = B–1.​ This statement is true. The inverse of a matrix is unique, so if B is the inverse of A, then A must be the inverse of B.

To know more about matrix visit:

https://brainly.com/question/29995229

#SPJ1

Answer: B,C,E,F,G

Step-by-step explanation:

Answer:

4.835(I don't know unit.(m/in/cm)

Step-by-step explanation:

volume=πr^2h

136.78=22÷7×3^2×h

h=136.78×7÷(22×9)=4.835

Answer:

32 F

Step-by-step explanation:

Answer:

7 :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation: