The measure of Arc DE is 39 degree.
What are Vertical Angles?The opposing angles formed when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.
Given:
From figure:
m<APB + m<APE = 180 (Linear pair)
4w+ 8 + 4w + 4= 180
8w + 12= 180
8w = 168
w = 21
Also, <APB = <PED + <DPC (Vertical opposite angle)
4w+ 8 = <PED + 2w+ 11
92 = <PED + 53
<PED = 39
So, the measure of Arc DE is 39 degree.
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Subtract the following polynomials.
(5x2+6)−(6x−5x2)
im bad at math ;-;
Answer:
First off if you want this answered make sure it's clear when your multiplying or using X
(5x^2+6)-(6x-5x^2)
5x^2 -- 5x^2 = 10x^2
10x^2 -6x + 6
96 is 0.8% of what number
So the right answer is 12000.
Look at the attached picture ⤴
Hope it will help u...
please solve for x!
correct answers, please!
(x + 10) + (x + 10) = 90
90 - (10 + 10) = 70
70/2 = 35
x = 35
Have a great day!
Answer:
x = 35
Step-by-step explanation:
Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:
(x+10) + ( x+10) = 90
2x +20 = 90
2x = 70
x = 35
Hope this helped and pls mark as brainliest!
~Luna
PLEASE HELP ME!! f(x) = -4x2 + 10x – 8
What is the value of the discriminant of f?
How many distinct real number zeros does f have?
The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.
Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:
b2 - 4ac = (10)2 - 4(-4)(-8)
b2 - 4ac = 100 - 128
b2 - 4ac = -28
Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.
Graph a line that contains the point ( 3 , -6) and has a slope of 1/2
1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5
Step-by-step explanation:
The equation of the line contains the point ( 3 , -6) graph is shown below.
Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:
[tex]y - y_1 = m(x - x_1)[/tex]
where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope of the line.
Substituting in (3, -6) and m = 1/2, we get:
y - (-6) = 1/2(x - 3)
y + 6 = 1/2x - 3/2
y = 1/2x - 3/2 - 6
y = 1/2x - 9/2
To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.
Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.
Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.
Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:
The graph shows that the line passes through the point (3, -6) and has a positive slope.
For similar question on graph
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a number x, rounded to 1 decimal place is 3.7 .Write down the error interval for x
Answer:
b
Step-by-step explanation: i took the same test
HELP ASAPP !!!
A. x=60;y=140
B. x=60;y=70
C. x=105;y=95
D. x=105;y=47.5
Answer:
B
Step-by-step explanation:
Y look like it's close to 90 degrees.
The Pyramid of Khafre in Egypt stands 471 feet tall. The sides of its square base are 705 feet in length. Find the lateral surface area of the Pyramid of Khafre. (Hint: Use the Pythagorean Theorem to find the pyramid’s slant height)
Answer:
Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²
Step-by-step explanation:
The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.
To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.
c² = a² + b²(Pythagoras theorem)
base = b = 705/2 = 352.50 ft
c² = 352.50² + 471²
c² = 124256.25 + 221841
c² = 346097.25
square root both sides
c = √346097.25
c = 588.300305966
c ≈ 588.30 ft
slant height = 588.30 ft
Lateral surface area = sum of area of the 4 triangular faces
lateral surface area = 4 (1/2 × base × height)
Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²
Answer:
829503.6
Step-by-step explanation:
What are the ratios for sin A and cos A? The diagram is not drawn to scale.
Answer:
0.952380952
Step-by-step explanation:
bc sin is ac/cb so thats what i think
PLEASE HELP I AM BEING TIMED. I AM VERY CONFUSED
Answer:
True
Step-by-step explanation:
Answer:
I’m Pretty sure its true but if not sorry.
Step-by-step explanation:
The volume of a sphere is 288 in3. What is the radius?
Answer:
[tex]4cm[/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈
4.0967[/tex]
In the figure below, find the exact value of y. (Do not approximate your answer.)
Answer:
I need the answer
Step-by-step explanation:
What is the slope in the equation y=1/2x-6
How many milliliters equal 54.7 liters?
Answer:
54700
Step-by-step explanation:
Answer:
Their are 54700 milliliters in a liter
Step-by-step explanation:
Mr.Molier is figuring out the semester averages for his history students. He can figure the average for 20 students in a hour. How long does it take him to figure out for each student?
Answer:
3 minutes per student
Step-by-step explanation:
60/20=3
Answer:
3 minutes per student.
Step-by-step explanation:
To solve this, we can first convert hours to minutes:
1 hour--> 60 minutes.
Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:
60÷20= 3 minutes per student.
Which exponential functions have been simplified correctly? Check all that apply.
Answer all these get 100 points
Answer:
1. S
2. diameter
3. secant
4. central angle
5. minor arc
6. tangent
7. radius
8. semi circle
9. chord
10. major arc
Step-by-step explanation:
A rectangle has length x and width y.
The perimeter of the rectangle is 32.
Part A
Write an equation that represents the relationship between x and y described above.
Answer:
2x + 2y = 32
Step-by-step explanation:
2 sides of each rectangle are always equal to each other, and there's 2 pairs of that, top&bottom and side&side
The perimeter is all the sides added together, so it's x + x +y +y, which can be written as 2x + 2y
The relationship between the length (x) and width (y) of a rectangle with a perimeter of 32 can be represented by the equation 2*(x+y)=32, derived from the formula for the perimeter of a rectangle.
Explanation:The subject of this question is mathematics, specifically relating to geometry and algebra. To express the relationship between the length, x, and width, y, of a rectangle with a perimeter of 32, you can form an equation based on the formula for the perimeter of a rectangle.
The formula for the perimeter of a rectangle is 2*(length+width). In this case, the length is x and the width is y, and we know that the total perimeter is 32. This can be expressed in the following equation: 2*(x+y) = 32.
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The diagram shows a wedge in the shape of a prism.
Angle BCF is a right angle.
A string runs diagonally across the wedge
from A to F.
Calculate the length A F.
Give your answer correct to 3 significant figures
By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.
Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.
Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:
AC² = x² + x² = 2x²
This equation relates the lengths of the sides of triangle ABC.
Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:
20² = AC² + x²
Since we already established that AC² is 2x² from the first triangle, we can substitute it in:
20² = 2x² + x²
This equation connects the two triangles. To find the value of x, we need to solve this equation:
20² = 3x²
Now, isolate x:
x² = (20²) / 3
x² = 400/3
x = √(400/3)
x ≈ 11.547 cm
So, x is approximately 11.547 cm.
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The town Diego lives in has a population of about 16,000. Describe all the numbers that, when rounded to the nearest hundred, round to the 16,000. Numbers greater than or equal to_________and less than________
Answer:
Numbers greater than or equal to 15950 and less than 16050.
Step-by-step explanation:
Given:
The town Diego lives in has a population of about 16,000
To fill: the blanks
Solution:
Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.
In other language, numbers greater than or equal to 15950 and less than 16050
Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.
To round to the nearest hundred :
When the value of the tens digit is greater than or equal to 5, it is rounded up to 1 and added to the hundred digit If the tens digit is less than 5, it is rounded to 0.15950, tens digit is 5, when rounded to 1 and added to the hundred digit, we have 16,00016049 ; tens digit is 4, it is rounded to 0 a d we have 16000Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).
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Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D. If he picks two at random, what is the probability that he picks A first and B second?
A) 1/24 B) 1/6 C) ½ D) 1/12
Answer:
D
Step-by-step explanation:
Given:
Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.
To find: probability that he picks A first and B second if he picks two at random
Solution:
Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]
Favourable outcomes are ABCD, ABDC
Number of favourable outcomes = 2
probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]
A stained glass window has an area of 900 square inches.
a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?
b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?
Answer:
a. 60
b. 25
Step-by-step explanation:
Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.
The area A of the rectangular piece of length l and width w may be stated as
A = l * w
Hence given that
- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window
= 900/(3 * 5)
= 60
- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window
= 900/(6 * 6)
= 25
Answer:
a. 60 pieces
b. 25 pieces
Step-by-step explanation:
Hi, to answer this question we have to calculate the area of each rectangular stained glass.
Area = width x length
a.
5 x 3 = 15 square inches
Now we have to divide the area of the window by the area of each stained glass.
900/ 15 = 60 pieces
Same process for b
b.
6x6 = 36 square inches
900/36= 25 pieces
Feel free to ask for more if needed or if you did not understand something.
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answer:
tan35 = 9/x
Step-by-step explanation:
I'm typing this to get 20+ characters
Answer:
tan(35)=9/x
Step-by-step explanation:
tan is opposite over adjacent and the only angle given is the 35 so you would use tangent 35 to solve for x.
Which fraction is equivalent to 4/-9? A. -4/-9 B. 9/4 C.-9/4 D. -4/9
Answer:
-4/9 ,Option d
Step-by-step explanation:
4/-9
=-4/9
-4/-9=4/9 which is not equivalent
=9/4 is not equal to 4/-9
=-9/4 is not equal to 4/-9
After how many seconds is your friend at a height of 4 feet
Which numbers are irrational? Select all that apply.
0 9/15
0 v18
0 v9
0 v169
0 v78
0 3.14
The correct question is;
Which numbers are irrational? Select all that apply.
A) 9/15
B)√18
C)√9
D) √169
E) √78
F)π = 3.14...
Answer:
The irrational numbers are;
√18 ; √78 and π = 3.14...
Step-by-step explanation:
An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
Thus;
A) 9/15 = 0.6 It's decimal stops after 6 and thus it is not irrational
B) √18 = 4.242640687119285.... The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number
C) √9 = 3. Doesn't have a repeating or continuous decimal and thus it's not irrational
D) √169 = 13. Doesn't have a repeating or continuous decimal and thus it's not irrational
E) √78 = 8.831760866327846......
The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number
F) π = 3.14.... The continuous dots means it's decimal doesn't stop. The decimal doesn't repeat and so, it's an irrational function
Answer:
v18
v78
3.14
Step-by-step explanation:
Which numbers are irrational? Select all that apply.
StartFraction 9 Over 15 EndFraction
StartRoot 18 EndRoot
StartRoot 9 EndRoot
StartRoot 169 EndRoot
StartRoot 78 EndRoot
Pi
The net below can be folded to form a square pyramid atop a cube. The net consists of 5 congruent squares and 4 congruent triangles.
What is the surface area of the composite solid that can be formed by this net?
80 cm2
120 cm2
144 cm2
160 cm2
Answer:
144cm2
Step-by-step explanation:
Hope this helps
The surface area of a composite solid is 144 cm².
How much extra space does the net use?
The net is made up of three parallel rectangles and an equal number of equal triangles. The surface area is a total of five shapes. To find the location of a triangle, you need to know the height of the triangle.
What is a strong combination?
A solid composite is a solid, or solid, two or more solids. Solid materials are usually made of prisms, pyramids, cones, cylinders, and spheres.
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This is timed pleaseeeeee hurry!!!!!! see picture
HELP ASAP
what is the value of x enter your answer in the box
Answer:
x=25
Step-by-step explanation:
24²+7²=625
√625= 25
Answer:
25
Step-by-step explanation:
1) So "x" is the measurement of the longest side in a right angle triangle. The longest side is called the hypotenuse
there is actually a formula to find the measurement of the hypotenuse called the pythagorean theorem
so
a^2+b^2=c^2
where a=measurement of one side
b=measurement of other
and c=hypotenuse
hence,
24^2+7^2=x^2
576+49=x^2
625=x^2
to find value of x by itself take square root on both sides:
25=x
Hope this helps!
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Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown.
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean number of games chess team members play per day?
Question 1 options:
1
3
4
10