Answer:
10
Step-by-step explanation:
[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]
The Tree casts a height of 10.41 feet tall.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Connor is 6 feet tall and casts a shadow that is 2.5 feet long.
He stands next to a tree that is 25 feet tall.
let the shadow of tree is x feet long.
Using proportion
6/ 2.5 = 25/x
6x = 62.5
x= 10.41 feet
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If 0.8Vx160=0.9Vx45
Get the value of V
Answer:
V=0
Hope it helps
Need help please answer ASAP!
Answer:
39. (4) 4 1/16
Step-by-step explanation:
Simplifying
f(x) = 4x⁰ + (4x)⁻¹Any term to the power is equal to 1f(x) = 4(1) + 1/4xSubstituting x = 4
f(4) = 4 + 1/4(4)f(4) = 4 + 1/16f(4) = 4 1/16(4) 4 1/16PLEASEEE HELP 100 POINTS
Write the equation of a circle whose center is at the origin and that contains the point (-3, 0).
Radius
√(-3)²+(0)²√93unitsSo
equation of circle
(x-h)²+(y-k)²=r²(x-0)²+(y-0)²+3²x²+y²=9Answer:
[tex]x^2+y^2=9[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (0, 0)point on circle = (-3, 0)Substitute the given values into the formula and solve for r²:
[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]
[tex]\implies (-3)^2+(0)^2=r^2[/tex]
[tex]\implies 9=r^2[/tex]
Substitute the center and found value of r² into the formula to determine the equation of the circle:
[tex]x^2+y^2=9[/tex]
Prove the following tan^2 A/(tan A -1 )+ cot A/(1 - tan A)=1 +sec A cosec A
In Image, Question is No.4 (vi)
See below for the proof of the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]
How to prove the trigonometry identity?The trigonometry equation is given as:
[tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]
Rewrite the equation as:
[tex]\frac{\tan^2(A) }{\tan(A) - 1} - \frac{\cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]
Take LCM
[tex]\frac{\tan^2(A) - \cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]
Express cot(A) as 1/tan(A)
[tex]\frac{\tan^2(A) - \frac{1}{\tan(A)}}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]
Take LCM
[tex]\frac{\tan^3(A) - 1}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]
Apply the difference of two cubes on the numerator
[tex]\frac{(\tan(A) - 1)(\tan^2(A) + \tan(A) + 1)}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]
Cancel out the common factors
[tex]\frac{\tan^2(A) + \tan(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Rewrite as:
[tex]\frac{\tan(A) + \tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Split the fraction
[tex]1 + \frac{\tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Express [tex]\tan^2(A) + 1[/tex] as [tex]\sec^2(A)[/tex]
[tex]1 + \frac{sec^2(A)}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Divide [tex]\sec^2(A)[/tex] by [tex]\tan(A)[/tex]
[tex]1 + \frac{1}{\sin(A)\cos(A)} = 1 + \sec(A)\csc(A)[/tex]
Take the inverse of sin and cosine
[tex]1 + \sec(A)\csc(A) = 1 + \sec(A)\csc(A)[/tex]
Both sides of the equation are the same.
Hence, the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex] has been proved
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Help please!!! It’s timed
Describe how you would find the volume of each hemisphere below. What is the volume of each hemisphere?
It's not hemisphere,It's a complete sphere .
Radius=26.12/2=13.06cmVolume
4/3πr³4/3π(13.06)³9330.8cm³Volume of each hemisphere.
9330.8/24665.4cm³1 3 6 10 what number comes next
Answer:
15 is the correct and answer mark me brainiest
Step-by-step explanation:
Well its because they added 2 3 4 now 5
Answer:
14
Step-by-step explanation:
there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4
I need help will someone help
Answer:
(2,3) is the answer
Step-by-step explanation:
[tex]5x - 4y = - 2.....equation1 \\ 2x + 4y = 16 \\ 4y = 16 - 2x......equation2 \\ now \: substituting \: the \: value \: of \: 4y \: in \: eq1 \\ 5x - (16 - 2x) = - 2 \\ 5x - 16 + 2x = - 2 \\ 7x = - 2 +16 \\ x = \frac{14}{7} \\ x = 2 \\ putting \: the \: value \: of \: x \: in \: eq2 \\ 4y = 16 - 2x \\ y = \frac{16 - 2 \times 2}{4} \\ y = \frac{12}{4} \\ y = 3[/tex]
Which term best describes the trend shown on the scatter plot below?
No trend
Negative Trend
Positive Trend
Answer:
Positive Trend
Step-by-step explanation:
As the y-values tend to increase with increase in x-values, we can consider this scatter plot to have a positive trend.
Help me with this please 20 points down below
Most of the first ladies are from New York because 9 of them came from there.
Answer:
D
Step-by-step explanation:
The valid conclusion we reach by interpreting the graph is :
D) Most of the first ladies are from New York.
New York had 9 first ladies, more than 6 each from 2 states, and 3 each from the other 2 states.
Find the measure of <1, <2 and <3 In P
Answer:
Step-by-step explanation:
The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve for the dimensions (length and width) of the poster.
Answer:
Width = 7 inches
Length = 23 inches
Step-by-step explanation:
Let :
length = 2x + 9width = xEquating to area :
(2x + 9)(x) = 1612x² + 9x = 1612x² + 9x - 161 = 02x² - 14x + 23x - 161 = 02x(x - 7) + 23(x - 7) = 0x - 7 = 0x = 7Dimensions are :
Width = 7 inchesLength = 2(7) + 9Length = 23 inchesAnswer:
Length: 23 inches
Width: 7 inches
Explanation:
Width: wLength: 2w + 9Area of rectangle: Length × Width(2w + 9) × (w) = 1612w² + 9w - 161 = 02w² + 23w - 14w -161 = 0w(2w + 23) -7(2w +23) = 0w = 7, -11.5As length measure cannot be negative. Width is +7 inches
Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23
Grace is an hourly employee
Answer:
full question Grace is an hourly employee, and the line that models her total pay in dollars
as it relates to the number of hours she has worked has a slope of 45 and a y
intercept of 35. Which statement is true?
A. Grace's wage is $35 an hour, and it appears that she received a
signing bonus of $45.
B. Grace's wage is $35 an hour, but it appears that she received no
signing bonus.
C. Grace's wage is $45 an hour, and it appears that she received a
signing bonus of $35.
D. Grace's wage is $45 an hour, but it appears that she received no
signing bonus.
Step-by-step explanation:
if x is the amount of hours worked, 45 is the slope and the y intercept is 35.
A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:
y = 45*x + 35
this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.
Then the correct answer is
C) Grace's wage is $45 an hour, and it appears that she received a signing bonus of $35.
Answer:
wow........mmm.................
what is the volume of the pyramid? The base is 2cm and the height is 3.75
I am going to assume this is a square pyramid and the base is 4 cm², in other words, 2 * 2 = 4
Answer: 5 cm³
Step-by-step explanation:
We will use the formula for a pyramid and solve.
[tex]\displaystyle V=\frac{lwh}{3}[/tex]
[tex]\displaystyle V=\frac{(2)(2)(3.75)}{3}[/tex]
V = 5 cm³
Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?
Answer:
The answer is ax² + bx + c = 0
Step-by-step explanation:
The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 800 hours and a standard deviation of 50 hours. what is the probability that
a randomly chosen light bulb will last between 780 hours and 810 hours, to the
nearest thousandth?
Answer:
23.47 % ( or .2347)
Step-by-step explanation:
780 is 20/50 = .4 for z score - .4
810 is 10/50 = .2 z-score = .2
Use z-score table .5793 - .3446 = .2347 23.47%
Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?
Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.
How to calculate the perimeter?In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.
Given the following data:
Minor base = 10 cm.Major base = 13 cm.From the middle, the diameter of this circle is given by:
D = 1/2 (10 + 13)
D = 11.5 cm.
Now, we can calculate the perimeter:
Perimeter = πD
Perimeter = 3.142 × 11.5
Perimeter = 36.13 cm.
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help me with this question number 11 please and thank you
The linear equation is 3x + 5y = 75. Then the value of A, B, and C will be 3, 5, and 75 respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of a line is given as
y = mx + c
where m is the slope and c is the constant.
Then we have
y = (-3/5)x + c
The line is passing through (25, 0). Then we have
25 = c
Then we have
y = (-3/5)x + 25
On simplifying, we have
5y = -3x + 75
3x + 5y = 75
Then the value of A, B, and C will be 3, 5, and 75 respectively.
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Multiply: (x 4)(x2 2x 3) simplify and write your answer in standard form.
Answer:
The answer is: 24x^4
Find the area of this circle. Use 3 for π.
A = πr2
[?] ft2
Answer: 27
PI × R² Is the formula as you posted.
And if you're asking for it as it's square root than it's 5.2
Answer:
27
Step-by-step explanation:
A = πr²
A = 3 × (3 ft)²
A = 3 × 9 ft²
A = 27 ft²
Answer: 27
help me with math please
Answer:
B. x ~ 5
This is a right isosceles triangle
Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total?
$7.30
$7.55
$8.30
$8.55
Answer: 7.30
Step-by-step explanation: 0.35+0.85= 1.30 (from 2.35 and 1.85)
(Then you just add the number all together so it’s easier)
1.30+1+2+3.10 =7.30
Taliya secured a position with att for her summer jobshe was in charge of placing a cell tower that was equidistant to an elementary school, shopping mall, and starbucks. the three locations form a triangular pattern on the map. if taliya were to use a center of triangle, which should she use for the cell tower placement that would be equidistant from those three locations on the map.
The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.
What is circumcenter of a triangle?The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.
Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.
The three locations form a triangular pattern on the map. Now the Taliya were to use a center of triangle.
Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.
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Which polynomial is prime? 7x2 – 35x 2x – 10 9x3 11x2 3x – 33 10x3 – 15x2 8x – 12 12x4 42x2 4x2 14.
Answer:
see the attachment.
i hope this can help you!
Solve by completing the square.
y² +10y = -9
Answer:
y=−1 or y=−9
Step-by-step explanation:
y2+10y=−9
Step 1: Subtract -9 from both sides.
y2+10y−(−9)=−9−(−9)
y2+10y+9=0
Step 2: Factor left side of equation.
(y+1)(y+9)=0
Step 3: Set factors equal to 0.
y+1=0 or y+9=0
y=−1 or y=−9
Answer:
y=−1 or y=−9
Answer:
Here is the ans ..hope it helps:)
is this image a function
The mapping diagram given is a function.
-Hope it helps!!
Use the drop-down menus to order the decimals from greatest to least.
8.31, 8.296, 8.06, 8.3
8.31 8.3 8.296 8.06
youre welcome
The correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.
How to to order the decimals from greatest to least.let's order the decimals from greatest to least:
1. 8.31
2. 8.3
3. 8.296
4. 8.06
So, the correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.
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use technology to find the solution to the system:
Answer:
Y = 2
X = - 2
Step-by-step explanation:
8x-4y= - 24 eq 1
4x-12y = - 32 eq 2
Multiply equation 2 by (×-2)
Then
-8x +24 y = 64. Eq 3
Add eq 1 to eq 3
20y = 40 then y = 2
From eq 1
8x - 4(2) = - 24
8x = - 16
X = - 2
Please help!
A card is selected at random from the set of cards below.
A sample space for the experiment is {F, G, H, J, K, L, M}. Let W represent the event “the card is white”, let S represent “the card is shaded”, and let E represent “the number is even”. Select all that apply.
A. The event S is {F, H, K, L, M}.
B. The event not E is {F, G, H, M}.
C. The event S or E is {F, H, J, K, L, M}.
D. The event S and E is {K, L, M}.
E. P(W or S) = 1
F. P(W and S) = 1
Answer:
See below ~
Step-by-step explanation:
True Statements
A. The event S is {F, H, K, L, M}.C. The event S or E is {F, H, J, K, L, M}.D. The event S and E is {K, L, M}.E. P(W or S) = 1Can someone please explain this to me very detailed I don’t understand it. Please
Answer:
a140 b10
Step-by-step explanation:
a x(all the pupil)×25%=35
x=140
b. 16:y=40:25
y=16×25/40=20
A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)
What is the area of the square?
What is the area of the circle? Round your answer to the nearest square foot?
Which shape should the landscape architect recommend to a client who wants the largest possible area for an 80-foot rope?
A.
Square
B.
Circle
Answer: The area of the square is 400sqf.
Answer 2: Area of circle = 509.31 square feet.
Answer 3: The circle because the circle's are is larger
Answers:
Area of the square = 400 square feetArea of the circle = 509 square feetRecommended shape with largest area = Circle==========================================================
Explanation:
The rope forms the perimeter of each shape. This is the distance around the outer edges.
The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.
The area of the square is 20*20 = 400 square feet.
--------------
The circle has a circumference of 80 feet, which leads to a radius of...
C = 2*pi*r
r = C/(2pi)
r = 80/(2pi)
r = 12.732395
which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.
Then use this to find the area of the circle
A = pi*r^2
A = pi*(12.732395)^2
A = 509.295782
This value is also approximate.
When rounding to the nearest whole number, we get A = 509
The area of the circle is about 509 square feet.
The circle has the largest area.