Find the value of x in the isosceles triangle shown below.
5
4
Answer:
x = √29Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 4/2 = 2
b = 5
c = x
plugin values into the formula:
2² + 5² = x²
x = √(2² + 5²)
x = √29
The length of the side x of the isosceles triangle is x = √29 units
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
The measure of side AB = AC = x
The measure of BC = 4 units
Now , let AD be the perpendicular bisector of the triangle and AD = 5 units
where the measure of BD = measure of CD
And , right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the measure of x = √ ( AD )² + ( BD )²
x = √ ( 25 ) + ( 4 )
x = √29 units
Hence , the length of side of triangle is x = √29 units
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pls help I will fail 10th grade
Answer:
B) -6
Step-by-step explanation:
Placing a minus sign outside absolute value bars gives you a negative result For example, –|6| = –6, and –|–6| = –6.
(HELP ME)John just hired a new employee to work in your bakeshop. In one day, the employee burned 150
chocolate chip cookies out of 1,000 cookies made. What percent of the day's production, did
John's new employee burn?
Answer:
15%
Step-by-step explanation:
I WILL MARK BRAINLIEST Twelve is added to a number and then the sum is multiplied by 4/5 to give 23.6. What is the number?
Answer: 17.5 or 35/2
Step-by-step explanation:
(If you change 4/5 to a decimal, it makes this easier. 4/5 would be 0.8.)
23.6 = (12 + x)*0.8
23.6 = 9.6 + 0.8x
14 = 0.8x
17.5 = x
17.5 as an improper fraction would be 35/2.
PLEASE HELP!!! JUST SHOW ME HOW YOU DID IT? PLEASE! THANK YOU SO MUCH!1
Answer:
It’s an=-10•-0.5^n-1. First you want to divide 5 by -10 to find r (common ratio) which is -0.5. Next you just plug in your terms.
Step-by-step explanation:
Find the interest and amount for $800 at 9% for year?
Answer:
72 dollars
Step-by-step explanation:
I = Prt
I(Interest)
P(Principle)
r(rate)
t(time)
I = 800 * 9% * 1
800 * .09 * 1 = 72
In the formula l=P•r•t what does r stand for
Answer:
It stands for rate
Step-by-step explanation:
Rate: the percent that interest is paid annually as a decimal.
2. Jennifer has $500 in her savings account to use to buy gas. She withdraws $25 per week for her gas. Which equation can be used to determine how many weeks, w, it will take for her to reduce her balance to $275?
Answer:
You have a pic?
Step-by-step explanation:
Multiply. Write the answer in simplest form.
2/3×4/7=
Answer:
8/21
Step-by-step explanation:
Multiply numerator by numerator, denominator by denominator:
(2 x 4) / (3 x 7)
8/21
christopher bought a six-pack of soda for 1.50. each can holds 2 fluid ounces. identify the total quantity of each unit in the problem a. cans b. dollars c. cents d. six packs e. ounces f. cases
The total quantity of each unit in the problem is ounces
What is the volume of a can of soda in ounces?
A can of soda weighs about 2 fluid ounces and in pack of soda, there are 2 cans of soda, which means that total quantity of each unit in the problem can be determined in ounces.
Six packs is not a unitary measure, because each pack has 12 cans , which means that six packs translate into 72 cans(6 packs*12 cans), also, the can itself is made of ounces, hence, measuring the unit of soda in cans is not appropriate where each can is about 2 ounces
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Someone please help me out with this question
Answer:
c, b, a
Step-by-step explanation:
1. DNE stands for does not exist and is there because of dividing by zero, and when you are dividing by zero like the slope is 4/0 or something the line is vertical.
2. when the slope is 0 it is not sloping at all so it is horizontal.
3. the slope is 9 so it will be a steep uphill slope.
WILL MARK BRAINLIEST IF CORRECT ANSWER! HOW MANY SOLUTIONS???
i am a number between 40 and 50. when divided by 8, i have a remainder of 3. what number am i?
Answer:
43
Step-by-step explanation:
43 divided by 8 is 5.375!
1.1 Paul leaves from Johannesburg to Limpopo and has to travel 300km to get to his destination: If he travels at a constant speed of 75 km per hour, how many hours will it take him to get there?
1.2 And if he only has 90 minutes to get to his destination, what speed must he travel to get there on time?
Answer:
4 hours ; 200 kmph
Step-by-step explanation:
Given that :
Distance to be covered = 300 km
Speed of travel = 75kmph
Number of hours it will take to get to destination :
Time taken = Distance / speed
Time taken = 300 km / 75 kmph
Time taken = 4 hours
2.) If he has 90 minutes to get to destination, required speed will be ; 90 minutes = 1.5 hours
Speed = distance / time
Speed = 300 km / 1.5 hours
Speed = 200 kmph
Cesar has a piece of string that he wants to use to compare how far is cat's bed and his dog's bed are from their shared water bowl..The string is a lot longer than the dog's path to the bowl. The string is a lot shorter than the cat's path to the bowl. Whose path is shorter to the water bowl, the dog's or the cat's?
Answer:
The dogs path is shorter to the water bowl
Step-by-step explanation:
expand and simplify 2(x+7) + 3(x+1)
Let's simplify step-by-step.
2(x+7)+3(x+1)
Distribute:
=(2)(x)+(2)(7)+(3)(x)+(3)(1)
=2x+14+3x+3
Combine Like Terms:
=2x+14+3x+3
=(2x+3x)+(14+3)
=5x+17
your answer is 5x+17
Write the next whole number after 6467 in the base-eight system.
Answer:
30541
Step-by-step explanation:
8⁰ = 1
8¹ = 8
8² = 64
8³ = 512
8⁴ = 4096
8⁵ = 32768 > 6467
We have
6467 ÷ 8⁴ = 1 (mod 2371)
2371 ÷ 8³ = 4 (mod 323)
323 ÷ 8² = 5 (mod 3)
3 ÷ 8 = 0 (mod 3)
3 ÷ 1 = 3
=> 6467 in the base-eight system: 30541
In a bag of marbles, 24% were green, 18% were purple, and the rest were yellow. If the bag has 150 marbles, how many were yellow?
Answer:
87
Step-by-step explanation:
24+18 = 42
100-42 = 58 so 58% of the marbles are yellow
58% of 150 is 87
87 yellow marbles
Answer:
87
Step-by-step explanation:
.24 x 150 then subtract the product from 150
.18 x 150 then subtract the product from the answer above
= 87
fraction or decimals that stop are known as _____numbers.
Partial
Rational
Answer:
Step-by-step explanation:
Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.
Like 3, -4, 7.166..
The scores on a test given to all juniors in a school district are normally distributed with a mean of 77 and a standard deviation of 8.
Find the percent of juniors whose score is between 61 and 77.
The percent of juniors whose score is between 61 and the mean is
There are no options
Answer:
I ate my dog yesterday and I couldn't find him so I had to buried him, so do you think you could help me find him
Step-by-step explanation:
Answer:
i need the same answer please someone give itttttttttttttttttttttttttttttttttttttttttttttt
Step-by-step explanation:
what is H, help please
Answer:
9
Step-by-step explanation:
To find the height of a right angular cone, the formula is: [tex]\sqrt{l^{2} - r^{2}}[/tex]
Height = [tex]\sqrt{15^{2} - 12^{2}}[/tex]
= [tex]\sqrt{225 - 144}[/tex]
= [tex]\sqrt{81}[/tex]
= 9
the radius of a cone is 15,the slant height is 12
calculate the height
h = √(s2 - r2)
H=√[12^2-15^2]
H=√ (144-225)
H=√-81
the square root of -81 is not considered as a number
hence,
the - is removed
= √81
=9
1. A recipe calls for lb of flour for 1 batch. How many batches can be made with each of the following amounts? a. 1 lb b. lb c. lb
Which inequality represents the graph below?
a y>2x+4
b y>-2x+4
c y>-2x+2
d y<-2x+4
Answer:
B. y > -2x + 4
Step-by-step explanation:
we know it's y greater than (>) because the shaded region is above the line. Its a dashed line because it's >. If it was ≤ or ≥ symbol it would be a bolded straight line not dashed.
We can tell from the graph that the y-intercept is (0,4). the slope is -2
What are the solutions to the quadratic equation 4x^2= 64?
Ox=-16 and x = 16
Ox=-8 and x =8
Ox= -4 and X = 4
Ox=-2 and x =2
Answer:
x=4 or -4
Step-by-step explanation:
4 squared is 16, and 4 times 16 is 64
The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
given that,
the quadratic equation 4x^2= 64
now, we have to simplify the equation,
at first, take 4 common from both sides,
we get,
x^2= 16
now, taking square root on both side, we get,
x = ±4
Hence, The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
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Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant
speed of 6 miles per hour, and Jada jogs at a constant speed of 3 miles per hour. After an hour, what percentage of
of the 12 miles will Elena travel? What about Jada?
Answer:
the answer is 1.5 hrs
Step-by-step explanation:
if your qouestion is Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour. How long does it take until Elena and Jada meet?
I need help with the boxes someone help me please !.
Answer:
48/200= 0.24 cents per bead
0.24*25= $6
a tortoise is walking in a desert. it walks at a speed of 5 meters per minute for 156.25 meters. for how many minutes does it walk?
Answer:
31 1/4 minutes
Step-by-step explanation:
156.25/5= 31.25
Answer:
31.25 minutes
Step-by-step explanation:
156.25 divided by 5 is 31.25
Please please help me!!
solve the system of equations by the substitution method.
{ 21x + 7y = 41
{ -3x = y + 6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ ( type an ordered pair. Simplify your answer.)
B. There are infinitely many solutions.
C. There is no solution.
Answer:
C. There is no solution.
Step-by-step explanation:
Similarly to the previous question, you want to substitute one of these equations into the other:
21x + 7y = 41
-3x = y + 6
But first, you need to isolate for a variable. I'm going to isolate for y in the second equation to avoid fractions.
-3x = y + 6
y = -3x - 6
Now that I've done that, I can now plug it into the first equation to solve for x:
21x + 7(-3x - 6) = 41
21x + -21x - 42 = 41
0x = 41
0 ≠ 41
Since 0 ≠ 41, these lines are parallel, which means that there are no solutions.
Enter the decimal equivalent of the following:
Nine hundred eight and seven hundredths
_
Answer:
908.07
Step-by-step explanation:
We know there is nine hundered and eight so lets put that.
908.
Then we know that there are seven hundredths, one number to the right of a decimal is a tenth, so lets go one more to the right. We put seven to the right of the tenth decimal place. Now we have:
908.07
Together, teammates Pedro and Ricky got 2678 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each player have?
Answer:
pedro- 1621
ricky- 1057
Step-by-step explanation: