The angle of the T in the ΔRST is 100° and the value of p is 11.
Define Triangle.
A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.
i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.
Given:
∠R = 37°; ∠S = 43°; ∠T = 10p-10°
Let's take ∠T = x
In ΔRST,
∠R + ∠S + ∠T = 180°
37 + 43 + x = 180°
x = 180 - 80 ⇒ 100
∴ ∠T = 100°
To find the value of p,
∠T = 100
10p - 10 = 100
10p = 110 ⇒ 11
∴ p = 11
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The heights, in inches, for 120 people (male and female) have been measured. The results are presented:Heights sample data: 66.13 65.84 69.19 61.94 68.86 65.66 70.19 59.54 70.29 62.64 67.59 61.29 66.34 65.19 62.7 64.96 70.35 71.36 70.29 62.21 73.46 65.74 66.22 64.28 66.56 66.5 68.55 67.01 61.13 66.93 63.98 65.88 66.02 69.86 65.5 61.14 62.27 64.93 66.04 71.74 68.69 65.27 67.39 66.01 67.51 67.41 67.62 66.2 65.25 64.78 68.87 68.5 67.17 62.62 61.76 63.41 64.73 65.22 62.14 68.19 67.59 68.64 66.3 66.34 65.66 63.14 69.68 68.07 63.1 66.86 62.2 69.44 65.35 61.53 59.7 61.12 69.98 66.52 63.27 65.69 70.76 68.02 69.35 65.45 70.28 62.04 69.28 63.45 67.52 63.37 64.47 68.82 73.15 62.47 65.56 68.28 67.66 63.81 66.39 69.88 67.26 65.5 66.33 65.75 68.83 71.8 64.6 69.95 66.8 70.82 66.71 67.11 69.23 70.71 64.32 67.18 65.1 64.79 62.58 67.2 a)Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places. sample mean
Answer:
70.4
Step-by-step explanation:
hwhbsbsjsksjjsjdhdh
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Find the range of the data
27,13,35,19,71,12,66,47,39
Answer:
The range is 59
A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times.
How many times is it expected that a vowel will be spun?
——
A.) approximately 20 times
B.) approximately 25 times
C.) approximately 36 times
D.) approximately 40 times
Answer:
c
Step-by-step explanation:
the answer to this quistion is becasue 36 is an propile number
a)while wages have increased, spending power has mostly remained the same since 2000
b) as wages go up, so does spending power
c) the spending power of men is less than the spending power of the overall population
d) the wages of women have increased faster than the wages of men
Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.
How to explain the informationThe fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.
According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.
The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.
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While wages have increased, spending power
a)has mostly remained the same since 2000
b) as wages go up, so does spending power
c) the spending power of men is less than the spending power of the overall population
d) the wages of women have increased faster than the wages of men
9. Joseph is 2 meters 30 centimeters tall. How tall is Joseph in millimeters?
O23,000 millimeters
O2,300 millimeters
O230 millimeters
O23 millimeters
Answer:
Step-by-step explanation:
372 Millimeters
Answer:
2,300 millimeters
Step-by-step explanation:
when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.
Find the value of x from the figure
Answer:
x = 20
Step-by-step explanation:
the figure is a parallelogram, therefore the sum of angle A and angle B is 180°, we solve with an equation
180 = 5x + 5 + 4x - 5
180 = 9x
x = 180 : 9
x = 20
------------------------
check
180 = 5x + 5 + 4x - 5
180 = 5 × 20 + 5 + 4 × 20 - 5 (remember PEMDAS)
180 = 180
the answer is good
Answer:
The angle x is equal to 20 degrees
What do the following two equations represent?
• x + 3y = 5
• 4x + 12y = 20
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
Answer:
they represent the same line
Step-by-step explanation:
i went to desmos graphing calculator and put x+3y=5 in the first spot then i put 4x+12y=20 below that and it showed me what the lines looked like
Both the equation represent the same line
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x + 3y = 5
4x + 12y = 20
Now , the equation 4x + 12y = 20 can be simplified as
4x + 12y = 20
Divide by 4 on both sides ,
x + 3y = 5
Therefore , x + 3y = 5 is the same equation
Hence , both the equation represent the same line
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7r - 3s =26
2r - 6s =8
Answer:
r = 3 2/3
s = -0.444333
Step-by-step explanation:
Multiply the top equation by 2
14r - 6s = 52
2r - 6s = 8 Subtract the two equations
12r = 44 Divide by 12
r = 44/12
r = 3 8/12
r = 3 2/3
2r - 6s = 8
2*(2 2/3) - 6s = 8
2*2.6667 - 6s = 8
5.3334 - 6s = 8 Subtract 5.3334 from both sides.
- 6s = 2 2/3 Divide by - 6
s = - 0.4443333
A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
Help Me Please. ? And Thank You
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
A rectangular window has a width of 3.5 yards and a length of 4.5 yards what is the perimeter of the window in yards
Answer:
16 yards
Step-by-step explanation:
Perimeter = 3.5 + 3.5 + 4.5 + 4.5
Perimeter = 16 yards
Find a in degrees.
6 10
Round to the nearest hundredth
The value of angle a is approximately 36.87°.
We are given that;
Height = 6 and hypotenuse = 10
Now,
To find the angle a in a right triangle, we can use the trigonometric ratios12:
sin(a) = opposite/hypotenuse cos(a) = adjacent/hypotenuse tan(a) = opposite/adjacent
where opposite is the side opposite to the angle a, adjacent is the side next to the angle a, and hypotenuse is the longest side of the right triangle.
we can use the sine ratio to find the angle a:
sin(a) = 6/10 a = sin^-1(6/10) a ≈ 36.87°
Therefore, by Pythagoras theorem the answer will be 36.87°.
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Find the volume, v of the largest right circular cone that can be inscribed in a sphere of radius, r=18 cm.
The volume of the largest right circular cone that can be inscribed in a sphere of radius 18 cm is approximately 11622.85 cubic centimeters.
To find the largest right circular cone that can be inscribed in a sphere of radius 18 cm, we need to find the cone with the largest possible volume that can fit inside the sphere.
Let's assume that the apex of the cone is at the center of the sphere. Since the cone is a right circular cone, the base of the cone will lie on the surface of the sphere, forming a circle with radius equal to the radius of the sphere, which is 18 cm.
Let's call the height of the cone "h" and the radius of the base of the cone "r". Then we can use the Pythagorean theorem to relate the height, radius, and slant height (which is equal to the radius of the sphere):
r^2 + h^2 = (18 cm)^2
The volume of a cone can be expressed as V = (1/3)πr^2h. We want to maximize this expression subject to the constraint above. We can use the constraint to eliminate one of the variables in the volume expression, then differentiate with respect to the remaining variable and set the derivative equal to zero to find the maximum.
From the constraint, we can solve for h^2:
h^2 = (18 cm)^2 - r^2
Substituting into the volume expression, we get:
V = (1/3)πr^2(18 cm - sqrt(r^2 + h^2))
Simplifying this expression, we get:
V = (1/3)πr^2(18 cm - sqrt((18 cm)^2 - r^2))
Differentiating with respect to r, we get:
dV/dr = (1/3)π(36 cm)r - (1/3)πr^3/sqrt((18 cm)^2 - r^2)
Setting this equal to zero and solving for r, we get:
r = (18 cm)/sqrt(2)
Substituting this value of r back into the expression for h, we get:
h = (18 cm)/sqrt(2)
Finally, substituting these values of r and h into the expression for the volume, we get:
V = (1/3)π((18 cm)/sqrt(2))^2((18 cm) - sqrt(((18 cm)/sqrt(2))^2 + ((18 cm)/sqrt(2))^2))
Simplifying this expression, we get:
V ≈ 11622.85 cubic centimeters
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Help now plz
4/9-2/18
Answer:
The answer would be 6/18 or 3/9
Step-by-step explanation:
Answer:
if dividing...0.3
if multiplying...0
Step-by-step explanation:
a.c.Identify the graph of 2xº + 2y2 = 8 for e= 30° and write and equation of the translated or rotated graph in general form.hyperbola; (*) * + (y) - 8 = 0hyperbola; (x) + (y)?-4 = 0b.circle; (x) + (y) 2-8 = 0circle; (**) + (y") -d.- 4-0Please select the best answer from the choices providedAD
Step 1: Problem
\(\begin{gathered} 2x^2+2y^2\text{ = 8} \\ \theta=30^o \end{gathered}\)Step 2: Method and concept
Write the equation in a general form.
\(undefined\)When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
Find the a area and b perimeter of the figure. Dimensions are in feet.
a. Area
The area of the figure is the sum of the area of the rectangle and the area of the triangle. Therefore:
Area of triangle is given by
\(A=\frac{1}{2}bh\)First, we find the height of the triangle using the Pythagorean theorem:
\(\begin{gathered} h^2+b^2=c^2 \\ h^2+12^2=(10+5)^2 \\ h^2+144=225 \\ h^2+144-144=225-144 \\ h^2=81 \\ h=\sqrt[]{81} \\ h=9 \end{gathered}\)So, the area is:
\(\text{Area}=\frac{1}{2}(12)(9)=\frac{108}{2}=54\)Area of rectangle is given by
\(\text{Area}=length\times width=5\times4=20\)The area of the figure is:
\(\text{Area of figure=54+20=}74\)Answer: area = 74 ft^2
b. Perimeter
Perimeter is the sum of all sides, therefore:
\(\text{Perimeter}=10+4+5+4+12+9=44\)Answer: perimeter = 44 ft
write an algebraic expression for y multipied by z
Answer:
y(z)
Step-by-step explanation:
sorry that was my opinion
Write an equation in slope-intercept form (-5,-7);y=-2x+4
Answer:
Step-by-step explanation:
First, let us substitute x and y values: -7 = -2(-5) + 4
Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).
Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:
14 + b = -7
by simplifying, we can conclude that b = -21
Finally, we can plug in the b-value into our original equation:
y = -2x + 4 - 21
After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).
PLEASE TELL ME THE VALUE
Answer:
Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each
there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each
the total value off all of these together is $2.68
The sum of three consecutive integers is -126. What are the integers?
Answer:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.
The following information was obtained from matched samples taken from two populations. Assume the population of differences is normally distributed. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 The point estimate for the difference between the means of the two populations (Method 1 - Method 2) is:_______a. 0. b. 2. c. -2. d. -1
Answer:
Step-by-step explanation:
Given the data:
Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6
The point estimate for the difference between the means is the difference between the mean of method one and the mean of method 2
I’ve been stuck on this problem I can’t seem to get 7 9/4 into the ABC form
Answer:
7 square root 9^4
Step-by-step explanation:
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation:
A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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I need the A B C, it’s due tonight plz help
Answer:
a = -2, b = -5, c = 1
I hope this helps
NO LINKS!! Please assist me with this problem Part 2m
Answer:
\(\textsf{(a)} \quad \boxed{9a-3}\)
\(\textsf{(b)} \quad \boxed{-9a-3}\)
\(\textsf{(c)} \quad \boxed{-9a+3}\)
Step-by-step explanation:
Given function:
\(f(x) = 9x - 3\)
Part (a)
To find f(a), substitute x = a into the function:
\(\implies f(a)=9a-3\)
Part (b)
To find f(-a), substitute x = -a into the function:
\(\implies f(-a)=-9a-3\)
Part (c)
To find -f(a), first substitute x = a into the function:
\(\implies f(a)=9a-3\)
Then make the function negative:
\(\begin{aligned}\implies -f(a)&=-(9a-3)\\&=-9a+3 \end{aligned}\)
Which quadratic relation has a y-intercept of 8?
O y = 0.5(x + 2)(x + 4)
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).