Answer:
x = 14
Step-by-step explanation:
By tangent secant theorem[tex] x^2 = 7(7+21)[/tex][tex]\implies x^2 = 7(28)[/tex][tex]\implies x ^2=196[/tex][tex]\implies x=\pm\sqrt{196}[/tex][tex]\implies x=\pm 14[/tex]x can not be negative[tex]\implies x=14[/tex]find two integers who’s sum is 20 and products is 100
Answer: 10
Step-by-step explanation:The answer is 10
Step-by-step explanation:
10+10=20
10 * 10= 100
Hope it helps you.
A is directly proportional to B. When A = 12, B = 3
Find the value of A when B = 3
Answer:
A = 12
Step-by-step explanation:
We can define ratio a to b as 12:3. If we are finding the value of A when B is 3, we go to the ratio. The ratio says that when B is 3, A is 12. Therefore, A is 12.
Answer:
A = 12
Explanation:
Given:
A ∝ B
set "k" constant
A = k(B)
Find "k"
12 = k(3)
k = 4
Then find A when B = 3
A = k(B)
insert values found
A = 4(3)
A = 12
whats the median 19 19 20 21 2324 25 26 27 29 33
Answer:
The median is also known as the middle of the data set when it has already been sorted. So the first thing that we need to do is make sure that our data set is fully sorted.
[tex]19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33[/tex]
Now that we have our data set sorted, we can located the middle. Since this data set has 11 numbers that means number 6 is going to be our median. Counting from the left we get that our median is 24.
Hope this helps! Let me know if you have any questions
Answer: The answer is 24.
Step-by-step explanation: To find the median, you put all your data in order from least to greatest, which would look like:
19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33
Then, cross out the numbers from front to back until you find your middle number.
19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33
This leaves 24 left, which is the answer!
for 9-10 use the diagram
value of x?
if the circle is centered at point O, what is the measure of MON
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in the table. A cylinder. Model 1 radius: 14 cm height: 48 cm diagonal: 50 cm Model 2 radius: 6 cm height: 35 cm diagonal: 37 cm Model 3 radius: 20 cm height: 40 cm diagonal: 60 cm Model 4 radius: 24 cm height: 9 cm diagonal: 30 cm In which model does the lateral surface meet the base at a right angle? Model 1 Model 2 Model 3 Model 4
The model in which the lateral surface meets the base at right angle is : Model 1.
What is a lateral surface?The lateral surface of an object is all surfaces of that object excluding its base and top.
Analysis:
To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.
For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.
Model 1
Diagonal = 50cm, radius = 14cm, lateral height = 48cm
[tex](50)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](48)^{2}[/tex]
2500 = 196 + 2304
2500 = 2500. Forms Pythagorean triplet
Model 2
Diagonal= 37cm, radius = 6cm lateral height = 35cm
[tex](37)^{2}[/tex] = [tex](35)^{2}[/tex]+ [tex](6)^{2}[/tex]
1369 = 1225 +36
1369 [tex]\neq[/tex] 1261
Model 3
Diagonal = 60cm, radius = 20cm lateral height = 40cm
[tex](60)^{2}[/tex] = [tex](20)^{2}[/tex] + [tex](40)^{2}[/tex]
3600 = 400 + 1600
3600 [tex]\neq[/tex] 2000
Model 4
Diagonal = 30cm, radius = 24cm, lateral height = 9cm
[tex](30)^{2}[/tex] = [tex](24)^{2}[/tex] + [tex](9)^{2}[/tex]
900 = 576 + 81
900 [tex]\neq[/tex] 657
Therefore the lateral surface model 1 meets the base at right angle
In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.
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Answer:
the answer is B have an amazing day
Step-by-step explanation:
Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85
Help asap. Show your work please :)
Use the function f(x) = 5x2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
A) factor f(x) are 3/5 and -1.
B) x-intercepts of the graph of f(x) are (3/5, 0) and (-1, 0).
C) The end behavior is explained by vertex of the graph which is (-0.2, -3.2)
D) The graph is symmetrical about x = -0.2. shown below
What is factorization?Factorizing is a way of writing an expression as a product of its factors using brackets.
Given function is : 5x² + 2x − 3
A)5x² + 2x − 3
= 5x² + 5x-3x − 3
= 5x(x+1)-3(x+1)
=(5x-3)(x+1)
So, factors will be 3/5 and -1.
B) f(x)= 5x² + 2x − 3
The x-intercepts are when f(x) = 0.
So, x-intercepts are (3/5, 0) and (-1, 0).
C) The x-coordinate of the vertex is the midpoint of the zeros.
midpoint= (3/5-1)/2
=-0.2
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
f(-0.2)= 5(-0.2)² + 2(-0.2) − 3
=-3.2
So, the end behavior is explained by vertex of the graph which is (-0.2, -3.2)
D) By plotting the zeroes and the vertex of the f(x).
The axis of symmetry is the x value of the vertex.
Thus, the graph is symmetrical about x = -0.2.
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First one to answer, i will mark brainlist
Answer:
Sides in descending order: YZ > ZX > XY
Step-by-step explanation:
Sum of all angles of triangle = 180
104 +52 + ∠Z = 180
156 + ∠Z = 180
∠Z = 180 - 156
Z = 24
The sides opposite to the biggest is the longest side.
Angles in descending order: ∠X > ∠Y > ∠Z
Sides in descending order: YZ > ZX > XYFind another angle
m<Z
180-(104+52)180-15624°We know higher the angle measure higher the opposite side and vice-versa
Here
X>Y>ZHence
YZ>XZ>XYWhat is 9x8-7+4x10-2x7
Answer:
91
Step-by-step explanation:
9x8-7+4x10-2x7
72-7 + 40- 2x7
72 - 7 + 40 - 14
65 + 40 - 14
105 - 14
= 91
A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were changed
The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft
How to determine the value of x?The equation is given as:
(6 + x) * (9 + x) = 88
Express 88 as a product of two factors
(6 + x) * (9 + x) = 8 * 11
Express 8 and 11 as a sum
(6 + x) * (9 + x) = (6 + 2) * (9 + 2)
By comparison, we have:
6 + x = 6 + 2
9 + x = 9 + 2
This means that
x = 2
So, we have:
The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft
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Answer: D) two possible amounts by which the dimensions were changed
Step-by-step explanation:
Edg 2022
what is the answer of 6x +3y?
Answer: 3*(2x+y)
Step-by-step explanation:
Tom volunteered 1 out of the last 12 days at the school store. Which shows the decimal form of this ratio?
Answer:
0.0833
Step-by-step explanation:
1 out of 12 can be written as a fraction 1/12
Now we convert the fraction to a decimal with division. Using long division the 12 goes outside the division symbol and 1 on the side. 12 doesn't go into 1 so we add a decimal to the answer and a 0 after the 1. 12 doesn't go into 10 so we add another 0. 12 goes into 100 8 times. 8 goes on top after 0.08 and then we finish the long division. We would have 4 remaining. Add another 0. 12 goes into 40 3 times. This is then where the division becomes repetitive. With more threes. Depending on where youryou're supposed to Round to the answer is 0.0833
A+B+A+D=32
What does A+B=?
The value of A+B is 16
This question is related to division.To solve it, we will: divide the number after the equality, by the total number of variables (letters) that have.
A + B + A + D = 32
32 ÷ 4 = 8
< We know that the value of each variable is 8. So, to find the value of A + B, let's just add their respective values.
A + B
8 + 8 = 16
So, the value of A + B will be 16
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
The width of the rectangular box with volume of 150 cubic inches is: 5 inches.
What is the Volume of a Box?Volume of a box = (length)(width)(height).
Given the following:
Volume of the box = 150 in.³Height = 2 in.Width = w in.Length = w + 10 in.150 = (w + 10)(w)(2)
2w² + 20w - 150 = 0
Factorize
(w - 5)(w + 15) = 0
w = 5, w = -15
The width cannot be negative, therefore, the width of the box is: 5 inches.
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Need help please answer ASAP!
#34.
If one's price be d
The expression is 20-2d#35
20% means 0.2 or 2/10So old area=150(100)=15000
New area increase
15000(2/10)=3000New area
15000+3000=18000Option C
#36
Prime numbers inbetween
2,3,5Probability=3/6=1/2#37
3(x-2)=2x+63x-6=2x+6x=12#38
1hr additional=1.5(2)=3$
Equation is
y=5+3xSo
12.5=5+3x7.5=3xx=2.5hoursOption A
Answer:
here i have tried 2 question hope it help u
Help me solve this problem please
Answer :
C
Explanation :
The question given in C is statistical as compares the data in an item out of a setDIFFICULT EXACT TRIGONOMETRY, NON-CALCULATOR, PLEASE HELP
Step-by-step explanation:
area of quadrilateral = sum of area of triangles
area of triangle ADC = .5 * b * h
= .5 * 12 * 5 = 30 km^2
area of ∆ABC = .5 * sinx* ab* ac
= .5 * sin 30 * 3* 13 = 39/4 = 9.75 km^2
area of quadrilateral = 39.75 km^2
total cost =$ 397.5 million
What is the AREA of the figure below?
Answer: 12
Step-by-step explanation:
height x width
3 x 4 = 12
Identify all points and line segments in the picture below
Answer:
should be the first one
Step-by-step explanation:
any point connected
Answer:
The answer is:
line segment D
Step-by-step explanation:
Points: A, B, C, D Line segments: Bar (AB), Bar (AC), Bar (BD)
16 > i - 4
Please help me solve this!! ( one-step inequalities )
Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
Help pleasseeeee!!!!
Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?
A. All sides of the quadrilateral must be congruent and all angles must be congruent?
B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
C. The sides of the quadrilateral can be any length and the angles can be any measure.
D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.
Answer:
B. B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
Step-by-step explanation:
If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
The simplified value of the exponential expression is 2.
How to get the simplified expression?
Here we need to simplify the expression:
[tex]16^{1/4}[/tex]
First, you need to remember that:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then we can just write:
[tex]16^{1/4} = \sqrt[4]{16}[/tex]
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]
So we conclude that the simplified value is 2.
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Answer:
The simplified value of the exponential expression is 2.
How to get the simplified expression?
Here we need to simplify the expression:
First, you need to remember that:
Then we can just write:
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
So we conclude that the simplified value is 2.
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Help please this needs to be turned in tommorrow soo im trying to rush and when i rush i cant focus
Answer: Hello! Hope this helps.
Step-by-step explanation: 6 - 7x/2
So its the first answer.
Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?
Answer:
10 girls and 11 boys
Step-by-step explanation:
That is the answer!!
Answer:
There are 10 girls and 11 boys.
Step-by-step explanation:
Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.
Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?
Answer:
The answer is attached.
can you please help me with my math work !!?
Answer:
B. x ~ 5
Step-by-step explanation:
This is a right isosceles triangle!
Answer:
c x=8.7
Step-by-step explanation:
length of the 2 shortest sides squared and the length of the longest side square would be x^2+25=100
x^2=75
which would be x=8.7
don't listen to the other answer
nothing on this picture proves this is an isosceles triangle. Pictures like these usually aren't according to scale
what's the answer for 3 ( x + 2) = 11+3x-5
Answer:
question is not correct
Step-by-step explanation:
3(x+2)=11+3x+5
3x+6=11+3x+5, once 3x is subjected from both sides it becomes unsolvable
Answer: Infinite solution
Step-by-step explanation: 3x + 6 = 11 + 3x - 5
-3x
6 = 11 - 5
6 = 6
Which scatter plot shows no association between the variables?
Answer:
The correct answer is B.
Step-by-step explanation:
There seems to be no strong correlation for scatter plot B.
Hope this helps:) Goodluck!
A window is shaped like a parallelogram
The base of the window is 14.25 inches.
The area is 356.25 square inches. What
is the height of the window?
Answer:
Do the area divided by the base on a calculator for the answer
Answer:
Height of the window= 25 inches
Step-by-step explanation:
Area of a parallelogram : base * height (of the side taken as base)
so height = area/base = 356.25/14.25 = 25 inches
A student used the equation below to create a table.
y=-3x - 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2,-11)
O (-2, 1)
O (1.-2)
Mark this and return
Save and Exit
Next
Submit
Answer:
second option -2, -11
Step-by-step explanation:
when you put -2 where x is then
y is -11