Given:
In triangle ABC, [tex]\angle A=90^\circ, AB=1\text{ units}, AC=8\text{ units}[/tex].
To find:
The length of BC.
Solution:
Pythagoras Theorem : In a right angled triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
In triangle ABC, angle A is right angle, so BC is hypotenuse.
Using Pythagoras theorem, we get
[tex]BC^2=AC^2+AB^2[/tex]
[tex]BC^2=(8)^2+(1)^2[/tex]
[tex]BC^2=64+1[/tex]
[tex]BC^2=65[/tex]
Taking square root on both sides.
[tex]BC=\pm\sqrt{65}[/tex]
But side cannot be negative, so [tex]BC=\sqrt{65}[/tex].
Therefore, the length of BC is [tex]\sqrt{65}\text{ units}.[/tex]
Using the Pythagorean Theorem, the length of BC is: 8.1 units.
Recall:
Pythagorean Theorem holds true when solving a right triangle that has side c as hypotenuse and side a and b as the other legs, thus: c² = a² + b².
Triangle ABC is shown in the diagram below, where:
m∠A = 90°AB = 1 unit = aAC = 8 units = bBC = ? = c (hypotenuse)Applying the Pythagorean Theorem, the length of BC is solved as follows:
BC = √(1² + 8²)
BC = 8.1 units
Learn more about the Pythagorean Theorem on:
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another question!!! this one is easy but I forgot
Answer:
I belive it is D because it has an arrow which would make it greater than or equal to
Can someone please help me?
Answer:
$2000
Step-by-step explanation:
The value of the savings account is
v(m) = 2000(1.005)^m
where m is the number of months.
Compare with the formula for compound interest,
F = P(1 + r)^(nt)
where P = principal amount invested.
Answer: $2000
who is correct science or religious
Answer:
it depends on what you believe, butttt i would say science
Answer: Science.
Step-by-step explanation: In my opinion science makes more sense than religion because it has proof, but I do not have anything against religious people.
PLLEAAASSEEE HELPPPO MEEEE I NEED THIS FASTTT!
Find the unknown side length. Round to the nearest tenth if necessary.
Leg = 5, hypotenuse = 16
Write the equation of the line that goes through (-2/3, 7/8) and is PARALLEL to 3x + 4y = 7
Answer:
6x+8y = 3
Step-by-step explanation:
we have 3x + 4y = 7
4y = -3x + 7
y = -3/4 x + 7/4
so slope is -3/4
2 parallel lines always have same slope
so the slope of our new line is -3/4
so y = -3/4 x + C
for c,
we have (x,y) = (-2/3,7/8)
7/8 = -3/4 * -2/3 + C
C = 3/8
so equation is
y = -3/4 x + 3/8
simplyfyig,
8y = -6x + 3
or, 6x+8y = 3
6. Write the slope-intercept form of the equation of the line.
slope = -5/2, y
y – int = 2
Answer:
A. [tex]y=-\frac{5}{2} x+2[/tex]
P.S. Sorry, the first answer I input wasn't registered well
Explain the pattern for this sequence: -5, -9,-13
Answer-5 + -4 = -9. The answer is “add -4”
Step-by-step explanation:
Answer:
a n = − 4 n − 1
Step-by-step explanation:
Use the formula a n = a 1 + d ( n − 1 ) to identify the arithmetic sequence.
help please asap i will give you brainlist
Answer: R=5 D=10
Step-by-step explanation: If I am correct the radius is 5 while the diameter is 10. All you need to do is subtract 7 by 2 ( from the coordinates) giving you five. Now if you multiply 5 by 2 you get 10 which is the diameter. Hope this helps and best of luck.
A standard showerhead dispenses 21 gallons of water in 30 mins. At this rate, how many gallons of water will a standard showerhead dispenses in 13 minutes.
Answer:
9.1 gallons of water.
Step-by-step explanation:
A standard showerhead dispenses 21 gallons of water in 30 mins. At this rate, how many gallons of water will a standard showerhead dispenses in 13 minutes?
30 minutes = 21 gallons
13 minutes = x gallons
Cross Multiply
30 minutes × x = 13 minutes × 21 gallons
x = 13 minutes × 21 gallons/30 minutes
x = 9.1 gallons of water
Therefore, a standard showerhead dispenses 9.1 gallons of water in 13 minutes.
please show work!!!!!!!
Answer:
B
Step-by-step explanation:
The cylindrical part
Area of the cylindrical part = Circumference of the circle * height
Area of the cylindrical part = pi * d * height
Area = 3.14 * 10 * 9
Area = 282.6
Lid
Area = pi * r^2
r = 5
Area = 3.14* 5^2 * 2
Area = 157
Total 439.6
I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.
Which expression can be used to check the answer to 56=(-14)=-4?
- 14x-4
-4=(-14)
56x(-14)
-4--56
Answer:If i am correct i think the right answer is -14x-4
Step-by-step explanation:
Can Someone Help Plz!! Which Table is Linear??!!
Answer:
B
Step-by-step explanation:
the x and y are both incresing at the same rate
Step-by-step explanation:
I guess u can try Making graphs
D is the right one
My suggestion for u is that u can be sure by making graph
try it
hope this will help you
BORAHAE
Half the value of 3x-9 is x+37. What is the value of x?
Step-by-step explanation:
3x-9=2x+73
3x-2x=73+9
x=82
Answer:
x = 83
Step-by-step explanation:
3x-9 / 2 = x + 37
1. multiply both sides by 2 to get rid of the fraction
3x - 9 = 2x + 74
2. move the variable to one side and the numbers to another side
3x - 2x = 74 + 9
x = 83
If leticia invested $12,000 in an account in which the interest earned is continuously compounded at a rate of %2.5 find the total amount after 15 years
Given:
Principal value = $12000
Rate of interest = 2.5%
To find:
Total amount after 15 years.
Solution:
Formula for amount discontinuously compounded interest is
[tex]A=Pe^{rt}[/tex]
where, P is principal, r is rate of interest and t is time in years.
Substitute P=12000, r=0.025 and t=15 in the above formula.
[tex]A=12000e^{0.025(15)}[/tex]
[tex]A=12000e^{0.375}[/tex]
[tex]A=12000(1.45499141462)[/tex]
[tex]A=17459.8969754[/tex]
[tex]A\approx 17459.897[/tex]
Therefore, the amount after 15 years is $17459.897.
What point is a solution for the linear inequality below?
A. (4, 3)
B.(-2, 4)
C.(-4,1)
D.(1, -2)
Answer:
B.
Step-by-step explanation:
Any point in the highlighted (red) region will be in our solution set.
Note that our line is dotted. Thus, any points on the line is not in our solution set.
So, we can simply go through each point and check.
A is on the line. So, A is not a solution.
B is within the red region. Hence, B is our solution.
C is on the line. So, C is not a solution.
And D is not in the red region. So, D is not a solution.
Therefore, our answer is B.
0.31311311131111 is it a rational or irrational?
Answer:
rational
Step-by-step explanation:
This can be written as a fraction.
0.31311311131111/0.100000000000000
Hope this helps :D
Answer:
Irrational
Explanation:
doesn't terminate
doesn't repeat
Anybody know the answer???
f (-5) = ??
Answer:
7
Step-by-step explanation:
The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.
GUYS HELP FAST ILL MAKE IT WORTH YOUR TIME
Answer:
1 and 4 parallel lines are straight
Step-by-step explanation:
Is -0.7 repeating rational , whole , natural or an integer?
Answer:
rational bc it's a decimal
Step-by-step explanation:
help me pls i want to pass my math class
Answer:
D
Step-by-step explanation:
You know the slope has to be -5, because in the equation it says -5x. You know the y intercept has to be a number on the y axis, and since it says the y intercept is 4 in the equation, you would know its (0,4).
If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph? Since the function is even, the outputs of a negative x-value and a positive x-value are the same. Since the function is even, the outputs of a negative y-value and a positive y-value are the same. The graph has rotational symmetry, so the point will be reflected across the y-axis. The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
The correct option is,
⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Since, We know that;
A function is "even" when f(x) = f(−x) for all x.
Now, Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.
So, If point (6, 8) is one the points on the graph of f(x),
Then, f (6) = 8
And, since function is even, you can state that;
⇒ f(-6) = f(6) = 8.
This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.
Thus, The correct option is,
⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.
Learn more about the function visit:
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On which number line do the points represent negative 4 and 1 over 2 and +3?
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0.
what is the answer PLZ help asap
Answer:
ITS A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!=)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Just put A :)
Evaluate each expression for the given value of the variable : x+1/2 + 5x-3/10 when x=3
Answer:
18 1/5
Step-by-step explanation:
1. First, we can convert all the x's into 3's
Our Equation: 3+1/2 + 15 - 3/10
2. Now we know that 3+1/2 = 3 1/2
Our Equation : 3 1/2 + 15 - 3/10
3. Now, we can add 3 1/2 + 15
Our Equation: 18 1/2 - 3/10
4. Next we can convert 1/2 so that the denominator is 10 and we get 18 5/10
Our Equation: 18 5/10 - 3/10
5. Now, we can subtract 3/10 from 5/10
Our Answer: 18 2/10 or 18 1/5
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!! :)
Marcus got 3/4 of the questions on his science test correct. If he correctly answered 36 questions. How many questions were on the test?
Answer: 48
Step-by-step explanation:
36/3 =12
12+ 36 = 48
48-75% = 12
Hope this helps
Given that C=33 °, b=10 in, and c=6 in. Find the distinct number of triangles.
a5b10
ab3
How do I simplify a s express using exponents
Work out 5 x 10^6 / 4 x 10^4
Give your answer as an ordinary number.
Answer:
[tex]1.25 \times {10}^{2} = 125 [/tex]
Step-by-step explanation:
[tex] \frac{5 \times {10}^{6} }{4 \times {10}^{4} } = \frac{5}{4} \times \frac{ {10}^{6} }{ {10}^{4} } = 1.25 \times {10}^{2} = 125[/tex]
Solve for x and y.
y = 2/3x - 2
y = -x + 3
Answer:
1. x= 3y+6/2
y=2/3x-2
2.x=−y+3
y=−x+3
Step-by-step explanation:
1. Let's solve for x.
y=2/3x-2
Step 1: Flip the equation.
2/3x-2=y
Step 2: Add 2 to both sides.
2/3x-2+2=y+2
2/3x=y+2
Step 3: Divide both sides by 2/3.
2/3x/2/3=y+2/2/3
x= 3y+6/2
Let's solve for y.
y=2/3x-2
2. Let's solve for x.
y=−x+3
Step 1: Flip the equation.
−x+3=y
Step 2: Add -3 to both sides.
−x+3+−3=y+−3
−x=y−3
Step 3: Divide both sides by -1.
-x/-1=y-3/-1
x=−y+3
Let's solve for y.
y=−x+3
here are two graphs if you need a better explanation
HOPE THIS HELPS
I just got confused with angle AED which I need to find the value of?
Answer:
you should find the value of 112°