Answer: The length of each leg is 10 inches.
Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.
If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.
The area of a triangle is given as
Area of triangle = 1/2 (b*h)
Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.
Hence, the area can be re-written as follows;
Area of a triangle = 1/2 (b*h)
50 = 1/2 (b*h)
By cross multiplication, you now have
50 *2 = b*h
100 = b*h
Having already determined that b equals h,
100 = h²
Alternatively
100 = b²
Therefore, adding the square root sign to both sides of the equation, you now have
√100 = √h²
10 = h
Therefore, the length of each leg, both base and height is 10 inches
acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab
Answer:
Step-by-step explanation:
it’s two multi choice questions please help
Answer:
see below
Step-by-step explanation:
a) They could be congruent because having the same angles doesn't necessarily mean that they are congruent.
b) These triangles are congruent by ASA because using the sum of angles in a triangle they have the same angles and one congruent side.
Answer:
a) F
b) C
Step-by-step explanation:
Brainliest please?
For a) it only tells you all the angles, which makes them similar triangles, but none of the sides are given, so it cannot be determined whether they are congruent.
For b) it is not to scale and using a little subtraction, you can quickly use the fact that there are 180 degrees in a triangle, you can determine that the 2 triangles have the same angles, with the side with 9.2 cm between 58 and 68 degree vertices on both triangles, making the 2 triangles congruent by ASA.
QED
Enter the equation for the graph.
Answer:
y = cos x
Step-by-step explanation:
The graph begins at (0, 1) and completes its first period at (2π, 1) Thus the period of this function is 2π. The amplitude is 1; this is the value that y takes on when x = 0.
Thus the equation of this graph is y = 1cos x, or y = cos x.
Cosine 73 degrees, round to the nearest ten thousandth.
Answer:
0.2924
Step-by-step explanation:
Use a calculator.
cos 73 deg = 0.2924
Help me please will mark brainliest
Answer:
-2 1/6
Step-by-step explanation:
help I know is easy but I don't know
Answer:
? = 2 sqrt(21)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since this is a right triangle
a^2 + b^2 =c^2
?^2 + 4^2 = 10 ^2
?^2 + 16 = 100
Subtract 16 from each side
?^2 +16-16 = 100-16
?^2 = 84
Take the square root of each side
sqrt(?^2) = sqrt(84)
? = sqrt(4) sqrt(21)
? = 2 sqrt(21)
Answer:
[tex]? =9.16515139[/tex]
Step-by-step explanation:
→You can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we area already given the hypotenuse (10), and are solving for the leg. So plug in the numbers, like so:
[tex]4^2+b^2=10^2[/tex]
[tex]16 + b^2=100[/tex]
→Subtract 16 from both sides:
[tex]b^2 = 84[/tex]
→To get "b," by itself, square root both sides, like so:
[tex]\sqrt{b^2} = \sqrt{84}[/tex]
[tex]b = 9.16515139[/tex]
G(x)=3x^2-12x+8 maximum or minimum
Answer:
Minimum
Explanation:
This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.
Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.
which of the following represents this function written in intercept form? y=-x^2-x+6
Answer:
Step-by-step explanation:
-(x-2)(x+3)
What is the value of the expression below?
7-2-4.5x3-8
Answer:
6.5
Step-by-step explanation:
7-2=5-4.5=0.5
0.5ₓ3=1.5
8-1.5=6.5
square roots of 263 by division method
Answer:
no whole number
Step-by-step explanation:
263 is a prime number, so it can be divided only by 1 and 263. So, no whole number will be square root for 263.
Can u guys PLEASE answer this question ASAP.
which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)
Answer:
n
Step-by-step explanation:
Answer:
[tex]\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane
Supposing that there are two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on 2D plane.
The distance [tex]d[/tex] between these two points is calculated by:
[tex]d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }[/tex]
Step 2: Calculate the distance [tex]d_{1}[/tex] between [tex]M(3, 6)[/tex] & [tex]P(-2, -1)[/tex] and distance [tex]d_{2}[/tex] between [tex]N(6, -4)[/tex] and [tex]P(-2, -1)[/tex]
Applying the formula in step 1:
[tex]d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}[/tex]
[tex]d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}[/tex]
Step 3: Compare and conclude
Because [tex]\sqrt{73} < \sqrt{74}[/tex] => [tex]d_{2} < d_{1}[/tex] => N is closer to P than M
Hope this helps!
:)
show the relationship between the number of miles and the number of hours in the ratio 12 to 1
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data below is the high temperature, in Fahrenheit, that they recorded. Connor's data: 50, 51, 50, 66, 60, 66, 71, 70, 72, 65, and 70. Matthew's data: 72, 82, 76, 84, 77, 73, 70, 67, 67, 56, and 65. What is the range of temperatures in Connor's data?
Answer:
22
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
Hope this helps,
plx give brainliest
Answer:
For Connor the range is 21
Subtract the highest to the lowest
[tex]71-50=21[/tex]
Hope this helps
If incorrect try 22 :)
electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period
Answer:
32p
Step-by-step explanation:
the times between 8pm and 11.30pm are:
8pm,9pm,10pm,11pm,11.30pm.
so, find the cost associated with each of them:
8pm: 12p
9pm: 12p
10pm: 12p
11pm:8p
11.30pm: 4p
sum:12+12+12+8+4 = 12 x 4 = 32p
solve the following simultaneous linear equation x+2y=5 and x+3y=8
Answer:
x= -1, y= 3
Step-by-step explanation:
First, label the 2 equations.
x +2y= 5 -----(1)
x +3y= 8 -----(2)
(2) -(1):
x +3y -(x+2y)= 8 -5
x +3y -x -2y= 3
y= 3 (simplify)
subst. y=3 into (1):
x +2(3)= 5
x +6= 5
x= 5 -6 (bring constant to 1 side)
x= -1
Circle O has a circumference of approximately 2507 ft.
What is the approximate length of the diameter, d?
40 ft
80 ft
125 ft
o
250 ft
Answer:
80 ft (b)
Hope it helps
Step-by-step explanation:
Circumference= π * diameter
Since the circumference is given..
250 = πd
d = 250/π
= 250/3.14
= 79.6
= 80 feet approx
CAN I HAVE AN ANSWER PLEASE?
Jasmine is traveling at 45 miles per hour. At that same rate, which of the following proportions could be used to find how long it will take her to travel 135 miles?
1. 45 miles / 1 hour = n hours/135 miles
2. 45 miles/n hours = 135 miles/1 hour
3. 45 miles /1 hour = n miles /135 hours
4. 45 miles/1 hour = 135 miles/n hours
Answer:
3 hours
Step-by-step explanation:
Jasmine's hourly distance covered (her rate of travel) is 45 mi / hr.
45 miles 135 miles
-------------- = ----------------
1 hour x
Cross-multiplying, we get 45x = 135, or x = 3 hours
The measure of angle JKL can be represented using the expression 3x + 5. Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees. What is the degree measure of AngleJKL? °
Answer:
its 65
Step-by-step explanation:
The measure of ∠JKL = 3 x 20 + 5 = 65 degrees.
We have three lines extending from point K such that one line extends to point J, another to point M, and the other to point L.
We have to determine the degree measure of ∠JKL .
Define Angle.An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
According to the question, we have -
Measure of ∠JKL = 3x + 5
Measure of ∠JKM = 45 degrees
Measure of ∠MKL = x degrees
Refer to the image attached for more clarity. It can be seen from the image that -
∠JKL = ∠JKM + ∠MKL
3x + 5 = 45 + x
3x - x = 45 - 5
2x = 40
x = 20
Therefore, the measure of ∠JKL = 3 x 20 + 5 = 65 degrees.
To solve more questions on Angle measurements, visit the link below -
https://brainly.com/question/17107683
#SPJ6
Solve -3(x-2)<8 or -3(x-2) > 12
Answer:
x = (14/3,6)
Step-by-step explanation:
-3(x-2) < 8
taking negative sign to opposite side relational operator changes.
3(x-2) >8
Similarly
3(x-2)<12
Now
8< 3(x-2) < 12
dividing by 3
8/3 < x-2 < 4
adding 2
8/3 +2 < x < 6
Therefore x = (14/3, 6)
Hope it helps ...
What is the probability of rolling 2 sixes in a row with a single die?
Answer:
i think it might be 0.5 over 6
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
Because there are a total of 36 possibilities when rolling a dice twice (6x6) and out of that there is only one chance to get two sixes
Joe wants to carpet a floor of a bedroom. A floor plan is shown. Find the amount of carpet he will need in the car if it is $3 per square foot
Answer:
Step-by-step explanation:
So basically, what you have to do is first find the area of the floor. The area can be split into 3 shapes, a quarter of a circle, a square, and a rectangle.
Quarter of circle: (3.14r^2)/4
3.14(100)/4
314/4
78.5
Square: s^2
100
Rectangle: lw
600
Total: 78.5+100+600
778.5
Cost: $2335.50
The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?
Answer:
1.5625g would remain after 30 seconds
Step-by-step explanation:
When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.
More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass
Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.
Since it is just 5 half lives, we can proceed manually
In the first, we shall have 25g left
in the second, we shall have 12.5g left
In the third, we shall have 6.25g left
In fourth, we shall have have 3.125g left
and finally, in the fifth, we shall have 1.5625g
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer.Plz u will lots of point
c = 10
Step-by-step explanation:
We can find out the missing side of a right triangle by using the Pythagorean theorem.
The Pythagorean theorem is...
[tex]a^2+b^2=c^2[/tex]
We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will always be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.
[tex]6^2+8^2=c^2[/tex]
[tex]36+64=c^2[/tex]
[tex]100=c^2[/tex]
A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...
c = 10
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.
Answer: i) Both A and R are true and R is the correct explanation of the assertion
Step-by-step explanation:
When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.
A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.
Find the slope of the line that passes through (3, 7) and (6, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Slope = 1/3
Step-by-step explanation:
Step 1: Define general form of equation of line
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
Step 2: Set up the system to solve for slope M of equation of line
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
Step 3: Solve the system of equations in step 2 for M
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
Answer:
[tex]slope = \frac{1}{3} [/tex]
Step-by-step explanation:
[tex](3 \: \: \: ,\: \: \: 7) = > (x1 \: \: \: ,\: \: \: x2) \\ (6 \: \: \: ,\: \: \: 8) = > (y1 \: \: \: \: , \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{7 - 8}{3 - 6} \\ = \frac{ - 1}{ - 3} \\ = \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which side of XYZ is the longest?
262
63
X
A. XY
B. XZ
C. YZ
o
D. Cannot be determined
Answer:
A. XY
Step-by-step explanation:
XY because it's opposite to the greatest angle.
Answer:
A.XY
Step-by-step explanation:
Se sabe que el 20% de todas las personas a quienes se administra cierto medicamento se siente muy mal en 2 minutos; encuentra la probabilidad de que entre 14 personas a las que se les administra este medicamento: a) A lo sumo 2 se sientan muy mal en dos minutos b) Por lo menos 5 se sientan muy mal en dos minutos c) De 2 a 4 se sientan muy mal en dos minutos
Answer:
a) 0.4481
b) 0.1298
c) 0.6722
Step-by-step explanation:
English Translation
It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:
a) At most 2 feel very bad in two minutes
b) At least 5 feel very bad in two minutes
c) From 2 to 4 they feel very bad in two minutes
Solution
This is a binomial distribution problem
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.
The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 14
x = Number of successes required
p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20
q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80
a) At most 2 feel very bad in two minutes
P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)
= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481
b) At least 5 feel very bad in two minutes
P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]
= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298
c) From 2 to 4 they feel very bad in two minutes
P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)
= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722
Hope this Helps!!!
x:28=1:8
Whats the answer eh
Answer:
Step-by-step explanation:
We can setup the equation as
x/28 = 1/8
Cross multiplying we get
8x = 28
Dividing by 8 we get
x = 28/8 = 7/2
Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.
Answer:
She had four marbles in four bags. 4m. She had three more marbles.
Step-by-step explanation:
4y+3
Answer:
4m+3
Step-by-step explanation:
I had this same answer in Kahn and got it right
If 2x - 9y = 14 and 6x = 42 +y, what is the value of the product xy?
Answer:
The product x time y is zero (0)
Step-by-step explanation:
Notice that you are given a system of two equations with two unknowns, so, let's proceed to find the unknowns by the method of substitution (easiest since it is very simple to find "y" in terms of 'x" from the second equation).
Then we use that expression to substitute for "y" in the first equation and solve for x:
[tex]6x=42+y\\y=6x-42\\Then:\\2x-9y=14\\can\,\,be\,\,written\,\,as:\\2x-9(6x-42)=14\\2x-54x+372=14\\-52x=-364\\x=(-364)/(-52)\\x=7[/tex]
Now we use this result in the substitution equation to find the value of "y":
[tex]y=6x-42\\y=6\,(7)-42\\y=42-42\\y=0[/tex]
Then, the product x times y is: 7 times 0 = 0
The product renders zero (0)