What is the measure of angle DEF?
E
28°
47°
D
F
[Not drawn to scale]
75°
b
90°
с
25°
Od
105°

Answer:

A

Step-by-step explanation:

Answer:

43750 pesos

Step-by-step explanation:

The first thing is to establish the formula in this case as it is a normal distribution is as follows:

z = x - m / sd

where x is the point value, m the mean, sd the standard deviation and z is the z score, we can calculate the z score by means of this 4% and it is found in the normal distribution table.

for 4%. z = 1.75

replacing:

1.75 = (70000 - m) / 15000

m = -1.75 * 15000 + 70000

m = -26250 + 70000

m = 43750

therefore we have that the average is 43750 pesos

Answer:

7x² + 2x + 1

Step-by-step explanation:

(x² - 5x - 2) - (-6x² - 7x - 3)

Now, combine your like-terms together...

(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))

7x² + 2x + 1

Answer:

UTR and UTW, hope this helped!

Step-by-step explanation:

Idk what to explain here...

Answer:

XWY and VWT

Step-by-step explanation:

Vertical angles are formed from the same lines but are opposite each other

XWY and VWT  are formed by the same lines but are opposite each other

Answer:

1 solution: x = 1 and y = 4

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

Answer: 1/2 miles

Step-by-step explanation:

Given the following:

Altitude (miles) - - - - - - - - - - distance (miles)

3 1/2 - - - - - - - - - - - - - - - - - - - 250

2 1/2 - - - - - - - - - - - - - - - - - - - - 175

Calculate the plane's altitude at 25miles from the airport

7/2 = 250

5/2 = 175

(7/2 - 5/2) miles = (250 - 175)miles

1 mile = 75 miles

From the above, the plane craft 's altitude reduces by 1 mile for every 75 miles moved

Therefore, at a distance of 25 mile from the airport,

Distance moved = (250 - 25)miles = 225miles

225miles / 75 miles = 3

Therefore, the altitude will reduce by 3 miles from the initial altitude at 250 miles

Therefore,

( 3 1/2 - 3) miles = 1/2 miles

Therefore, the plane craft will have an altitude of 1/2

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

Hope this Helps!!!

Answer:

There would be a 25% percent chance for each card.

Step-by-step explanation:

5 cards.

You pick 1 and didn't put it back in the deck and mix the cards again

There would be 4 cards left and 100 ÷ 4 would be 25.

There are 4 possible outcomes.

Possible outcomes are the possible results of an experiment. For example, when you flip a coin, the coin could land on heads or the coin could land on tails.

Given that, there are 5 cards they are colored red, yellow, green, white, and black. you mix up the cards and select one of them without looking. then, without putting that card back, you mix up the remaining cards and select another one.

We need to find the possible outcomes,

The initial cards = 5

One is being picked and removed,

5-1 = 4

Hence, there are 4 possible outcomes.

Learn more about possible outcomes click;

https://brainly.com/question/19567251

#SPJ2

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Answer:

[tex]x = \frac{53}{8} [/tex]

alternative form:

[tex]x = 6 \frac{5}{8} \: or \: x = 6.625[/tex]

Step-by-step explanation:

[tex] \frac{7}{2} x + \frac{1}{2} x = 22 + \frac{9}{2} \\ add \: \frac{7}{2}x \: to \: \frac{1}{2} x \\ \\ 4x = 22 + \frac{9}{2} \\ add \: 22 \: to \: \frac{9}{2} \\ \\ 4x = \frac{53}{2} \\ divide \: both \: sides \: by \: 4 \: \\ \\ x= \frac{53}{8} [/tex]

The piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

We have:

Mass of the piece of wood = 48 grams

The volume of the piece of wood = 47.4 cubic cm

As we know, from the definition of density, density is the mass-to-volume ratio.

d = mass/volume

d = 48/47.4

d = 1.01 g/cm³ ≈ 1 g/cm³

As we know,

It will float if the volume is larger than the mass and sink if the reverse is true.

Thus, the piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

Learn more about the density here:

brainly.com/question/952755

#SPJ5

Answer:

5(2x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

10x-15 = 5(2x-3)  ...the factor is : 5

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

Answer:

1000000

Step-by-step explanation:

Answer: 1000000

Step

no

step

Answer:

4

Step-by-step explanation:

5x = 20

x= 20/5

x = 4!

hope this helps ! <3

mark brainliest plz!

Answer:

4

Step-by-step explanation:

Divide 20 by 5 to find x

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1  = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].

In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).

Then, we can proceed as follows.

[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]

We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so

[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]

So, the highest point in the ball's trajectory is 12 feet.

Answer:

Initial height = 1ft

Heighest height = 12ft

Step-by-step explanation:

In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)

So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]

which yields:

[tex]f(0)=1 [/tex]

so the height of the ball when it is kicked is 1 ft.

In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)

the vertex is found by using the following formula:

[tex]x=-\frac{b}{2a}[/tex]

in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:

[tex]f(x)=ax^{2}+bx+c[/tex]

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

so:

a=-0.11

b=2.2

c=1

so the vertex formula will be:

[tex]x=-\frac{b}{2a}[/tex]

[tex]x=-\frac{2.2}{2(-0.11)}[/tex]

so we get that the highest point will happen when x=10ft

so the highest point will be:

[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]

f(10)=12ft

so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.

Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

Learn more about rise and run of a line on:

https://brainly.com/question/14043850

Answer:

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

SA = 2+15.6

SA = 17.6ft²

The surface area of the triangular prism is  17.6ft²

Answer:

69 ft^2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

11000

Step-by-step explanation:

Answer:

[tex] 12.0^\circ [/tex]

Step-by-step explanation:

Think of a right triangle. It may help you to draw it.

Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down  vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.

You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.

For angle A, BC is the opposite leg. AB is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin A = \dfrac{1.12~km}{5.4~km} [/tex]

[tex] \sin A = 0.2074 [/tex]

[tex] A = \sin^{-1} 0.2074 [/tex]

[tex] A = 12.0^\circ [/tex]

Answer: 12.0 degrees

Answer: i^2 = -1

Step-by-step explanation:

NVM Ignore this answer (:::::::

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Answer:

he is less likely to pick a blue tile in the second bag

Step-by-step explanation:

divide 10 by 25 which will give you 40%

divide 75 by 250 which will give you 30%

this makes it less likely for Greg to pick blue from the second bag, as the first bag has a higher percentage chance

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

Answer:

Look at the attachment

Function f likely had more residuals near the y-axis than function g

A residual is the difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line). It is the vertical distance from the actual plotted point to the point on the regression line.

Given here function g plots the model more accurately than function f thus this can only be when function f has more residuals because g plots the model more accurately.

Hence, Function f likely had more residuals near the y-axis than function g

Learn more about regression equation here:

https://brainly.com/question/14184702

#SPJ2