The height of the triangle is 19.36cm.
What is an isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having precisely two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
Here, we have
Given: An isosceles triangle has congruent sides of 20 cm. The base is 12 cm.
An isosceles triangle has two congruent sides. The height of an isosceles triangle is also the median and the perpendicular bisector of the triangle dividing the base in half and forming two congruent right triangles.
we use the Pythagorean theorem to solve for the triangle's height.
a² + b² = c²
5² + h² = 20²
h² = 400 - 25
h² = 375
h = 19.36cm
Hence, the height of the triangle is 19.36cm.
To learn more about the isosceles triangle from the given link
https://brainly.com/question/29793403
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Neeed help please...
Answer: A
Step-by-step explanation:
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answer:
solution: x=6
Step-by-step explanation:
8(2x-14)+13=4x-27
next, distribute 8 through the parentheses
16x-112+13=4x-27
calculate the sum
16x-99=4x-27
move the variable to the left-hand side and change it's sign
16x-4x-99=-27
move the constant to the right-hand side and change it's sign
16x-4x=-27+99
collect like terms
12x= -27+99
calculate the sum
12x=72
divide both sides of the equation by 12
x=6
final solution: x=6
Find the value of x.
30°
15x
A. 4
B. 10
C. 12
D. 2
Answer:
10 is the answer
Step-by-step explanation:
determine the prime number between 150 and 200
Answer:
Thus out of 16 numbers which are multiples of 6 increased or decreased by 1,five numbers namely, 169, 175, 155, 185, and 187 are composite numbers. Thus we have 11 prime numbers between 150 and 200. We know 2,3, and 5 are prime numbers. Similarly 11, 13, 17, 19 are prime numbers
hope it helps you
please mark me as brainlist
Solve for x in the problems below
Answer:
a)......1+2=90 degree.....
so,x+x-20=90=2x=110
x=55degree
Step-by-step explanation:
b)let it be a triangle....angle1=56
2=y
3=29....by vertically opposite angles
by ext angle property... x= 1+3=56+29= 85
Answer:
55 degrees is the answer
can someone pls just give me a simple answer -6(2z - 4) use Z = 3
Answer:
12
ignore this i have to put words in to give u the answer
Answer:
-6 (this is easy math)
You make $8.00 an hour for regular time and time and a half for every hour of overtime.
If you worked 40 hours of regular time and 5 hours of overtime, how much did you
earn?
Answer:
$380.00
Step-by-step explanation:
Regular time: $8.00 x 40 = $320.00
Overtime: (8 x 1.5) $12.00 x 5 = $60.00
Total: $380.00
Celine is undecided as to whether to take a French course or a chemistry course. She estimates that her probability of receiving an A grade would be 1/2 in a French course and 2/3 in a chemistry course. If Celine decides to base her decision on the ip of a fair coin, what is the probability that she gets an A in chemistry
Step-by-step explanation:
1/2=0.52/3=0.6670.5×0.667=0.3331 in 3 chance of getting an A in Chemistry
perform the indicated operation (x-4)(x+8)
Answer:
X^2+4X-32Step-by-step explanation:
I assume you want to simplify this.
Use distributive property:
x^2+4x−32 should be your answer.
Answer:
x^2+4x-32
Step-by-step explanation:
(x-4)(x+8)=x^2+8x-4x-32
x^2+4x-32
After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answer:
3 scoops for $3.69 is the best deal
Arsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study,1 scientists measured the level of arsenic (in mg/kg) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: 0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Do you expect the mean or the median of these toenail arsenic levels to be larger?
Answer:
The mean, because the outlier values are above the mean.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all values of the data-set divided by the number of values.
Median:
The median of a data-set is the value that separates the lower 50% from the upper 50% of the sorted set.
0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Finding the median, since it is easier.
8 values, the median is the mean between the 4th and the 5th values. (3.4+3.9)/2 = 3.65
The values below the median are quite close to it, while those above it are considerably more distant, considered outliers, which means that we should expect the mean to be larger than the median.
Plz help ASAP plz help
Answer:
t=12
Step-by-step explanation:
5t / 4 = 18 - 3
5t / 4 = 15
5t = 15 x 4
5t = 60
t = 12
Hope that helps!
Answer t is 12
Step by step explanantion
1525 hours denotes 3:25 pm
it will be
10 hours
and 52 mintues
Answer:
15:25 is the same as 3:25 pm.
Step-by-step explanation:
In military time, they use 24 hour clock, instead of a 12 hour one. So instead of changing to 1 after 12, continue counting regularly, so the 15th hour would be the same as the 3rd hour in the pm.
What is the volume of the cone shown below?
Answer:
A. [tex] 96\pi \: cu. \: units[/tex]
Step-by-step explanation:
Radius of cone (r) = 4 units
Height of cone (h) = 18 units
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]
Write the equation of the line graphed below in slope-intercept form (y=mx+b)?
Ok so look at the image i need help thanks hUrry please :D I GIVE BRAINLIEST IS CORRECTO
Answer:
The answer is 11.99 in gallons
47.96 in pints
Step-by-step explanation:
Hope this helps
Use the diagram below to answer the questions.
-17h
119°
с
G
Find m_PCT
Answer:
119°
Step-by-step explanation:
It’s 119. You don’t need to solve for h.
Write the sentence as an equation.
163 reduced by p is 291
Answer:
163 - p = 291
Step-by-step explanation:
Answer:
Here are some examples.
f(x) = [tex]x^{4}[/tex] - 6
f(x) = 3[tex]x^{2}[/tex] - x + 3
f(x) = 3[tex]\sqrt[]{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
Hope I could help. Brainliest??
(SAT Prep) Find the value of x.
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
juan dimes received a single payment loan from his loan for $4,000. he agreed to repay the loan in 90 days at an interest rate of 8.5% exact interest. what is the maturity value of his loan when he pays it back in 90 days. 
$83.84
$4,085.00
$4,083.84
$85.00
9514 1404 393
Answer:
(c) $4,083.84
Step-by-step explanation:
The amount due is ...
A = P(1 +rt)
where P is the amount borrowed, r is the annual rate, and t is the number of years. For "exact interest", we use 365 days in a year, so the number of years is 90/365.
A = $4000(1 + 0.085×90/365) ≈ $4083.84
Juan's loan will have a value of $4083.84 at maturity.
Answer:
4008.5
Step-by-step explanation:
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
if (1/10)x = 11/12, what's the value of x
Answer:
(1/10)x = 11/12
x=11/12×10/1=110/12=55/6or9 1/6
Answer:
55/6
Step-by-step explanation:
(1/10)x = 11/12
x = 11/12 ÷ 1/10
x = 11/12 × 10
x = 110/12
x = 55/6
Solve 1/11c > 9. Graph the solution. . The solution is
Answer:
I suppose that the inequality is:
(1/11)*c > 9.
To solve this we need to isolate c in one side of the inequality.
To isolate it, we need to multiply both sides by 11, then we get:
11*(1/11)*c > 9*11
c > 9*11 = 99
c > 99.
To graph this, we will have an open dot at c = 99, and an arrow that points to the right direction.
The graph is shown below.
how to factorise 5h^2-12hg
Answer:
[tex]h(5h-12g)[/tex]
Step-by-step explanation:
[tex]5h^2-12hg[/tex]
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].
[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]
Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.
I hope this helps!
Help with this one too!!! It will mean a lot
Answer:
Step-by-step explanation:
problem 13:
12g+24, 3(4g+8)
problem 14
9a+6, 3(a+2)+6a
6(a+1)+3a
What is the slant height for the given pyramid to the nearest whole unit height
Answer:
Step-by-step explanation:
The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.
base of right triangle = 6 cm
height of right triangle = 8 cm
hypotenuse = √(6²+8²) = √100 = 10 cm
what the word form of 500.2
Answer:
How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.
I count on the best
Components used in a cellular telephone are manu- factured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x chart at 0.3015 mm and the cen- ter line on the R chart at 0.00154 mm.
Required:
a. Estimate the mean and standard deviation of this process.
b. Suppose that parts below the lower specifica- tion limits can be reworked, but parts above the upper specification limit must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c. Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend
Answer:
1. Mean = r bar = 0.0154mm
Standard deviation = 0.0009096
2. Proportion of rework produced = 30ppm or 0.0003%
Proportion of scrap = 60ppm or 0.0006%
3 recommended value = 0.3000
Step-by-step explanation:
The mean = x bar = 0.3015mm
Standard deviation = r bar/d2
R bar = 0.0154 mm
d2 = 1.693mm
= 0.0154mm/1.693mm
= 0.0009096mm
B. Lower specification 0.295
P(x<0.295)
= ϕ(0.295-0.3015/0.0009096)
This gives us 0.00003
So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked
For scrap,
X>0.305 upper specifications
1-ϕ(0.305-0.3015/0.0009096)
= 1-0.99994
= 0.00006
So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.
c. to get the recommended value of the process mean
= (0.305+0.295)/2
= 0.6/2
= 0.3000
the recommended value would be 0.3000
A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation.
Answer:
D. The amount of fabric needed for each pair of shorts
Step-by-step explanation:
i just did the quiz
Answer:
the amount of fabric needed for each pair of shorts or D
Step-by-step explanation:
Need help can someone plz help me
Answer:
16.67%
Step-by-step explanation:
part: 400
percent: x
whole: 2,400
400=x(2,400)
divide both sides by 2,400 to get .1666
.1666=x
move the decimal inwards two times to make it a percentage, and round up the last didget
16.67%