An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. Find the height of the triangle. Leave your answer in simplified radical form.
Answers
Answer:
5√15cm or 19.36cm
Step-by-step explanation:
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.
a squared + b squared = c squared
5 squared + h squared = 20 squared
25 + h squared = 400
h squared = 375
h =√375
h = 5√15 cm
h = 19.36 cm
Related Questions
Ireland owes her dad $100. She plans on paying him $20 per week until it is paid off.
Answers
Answer:
5 weeks
Step-by-step explanation:
I believe your looking for the time it will take her to pay it off.
Darlene is building a rectangular fence. the length is 8 feet longer than the width. the perimeter of the rectangle is 76 feet. what is the length of the rectangle?
Answers
Answer:8 feet
Step-by-step explanation:
10
00
Determine the approximate ordered pair for f(x) = g(x). (1 point)
O (24,8)
O (16,8)
O (8, 24)
O (8, 16)
Answers
Answer:
Sorry, I can't help without some more context
What is the degree of
6x^5 – 4x^2 + 2x^2 - 3 + x?
A. 3
B. 5
C. 6
D.2
Answers
Hello!
Answer:\(\boxed{ \bf The~degree~of~the~polynomial~is~B.~5}\)
___________________________________________
Explanation:The term with the greatest exponent determines the degree of the polynomial.
Let's list all the terms:
\(6x^{5}\)-4x²2x²-3xOut of all of these terms, the first one has the greatest exponent (5).
Find the surface area.
5 cm
14 cm
9 cm
3 cm
Answers
Answer:C. 2/3 cm/s
Step-by-step explanation:
Need help fast hs geometry
Answers
= [180 - (100 + 40)]° = 40°
When two angles of a triangle are equal, then the triangle is isosceles.Here, the measure of angle A and B are equal, i.e., 40°So, ∆ABC is an isosceles triangle.Answers:
40°YesHope you could get an idea from here.
Doubt clarification - use comment section.
Prove the following statement using the given pieces of information.
Given: Line AB is parellel to Line DC and Line AD is parellel to Line BC.
Prove: Triangle ABC is congrent to Triangle CDA.
Answers
Triangle ABC is congruent to Triangle CDA using the SSS rule.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
SSS rule states that,
If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
To prove:
ΔABC ≅ ΔCDA.
AB = DC ( given)
AD = BC (given)
AC = AC (common to both the triangles)
ΔABC ≅ ΔCDA ( By SSS rule )
Thus,
ΔABC ≅ ΔCDA by SSS rule.
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find the error javier claimed that all cubic functions are odd. is he correct? if not, provide a counterexample.
Answers
Answer:
The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.
Step-by-step explanation:
Answer: No
f(x) = x³ + 2x − 5
Step-by-step explanation:
No
f(x) = x³ + 2x − 5
How to convert 4.5 kilograms to pounds?
Answers
4.5 kilos to pounds equal 9.9208. We convert one kilogram (kg) to 2.2 pounds (lb), which is a rough conversion.
How are pounds and kilos converted?One kilogram (kg) equals 2.2 pounds (lb), which is the approximate conversion we use. We multiply by 2.2 to change a kilogram into a pound. By dividing by 2.2, we may convert a pound to a kilogram.For the usual equation, multiply the amount of pounds by 2.2046. For instance, you can convert 50 pounds to kilograms by multiplying 50 by 2.2046, which is 22.67985 kg. 200 pounds are equivalent to 90.71940 kilograms when 200 is divided by 2.2046. In the fields of math and engineering, converting between kilograms and pounds frequently arises; fortunately, it is a simple process.Simply multiply the amount in kilograms by the conversion factor, 2.204622622, to convert 4.5 kilograms to pounds.
Therefore, 4.5 kilos in pounds = 9.920801798319491 pounds when multiplied by 2.204622622.
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Find the slope of the line.
у
4
3
(2,3)
-2
1
(0,0) 3 4 5x
5
slope =
Answers
Answer:
\(\displaystyle m=\frac{3}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (0, 0)
Point (2, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: \(\displaystyle m=\frac{3-0}{2-0}\)Subtract: \(\displaystyle m=\frac{3}{2}\)If the team takes on two additional players, one at 5 feet 5 inches and the other at 6 feet 7 inches, how is the median of the data set affected? A. The effect on the median of the players' heights cannot be determined. B. The median of the players' heights is decreased. C. The median of the players' heights is increased. D. The median of the players' heights is not affected
Answers
Answer: The median of the players' heights is not affected.
Step-by-step explanation: B
The median of the players' heights is increased.
we need to consider the current arrangement of heights and the positions
of the new players in relation to the existing players' heights.
If we assume that the heights of the players are sorted in ascending order,
adding two additional players can affect the median in the following ways:
If both new players have heights lower than the current median:
In this case, adding the new players would not change the median.
The median would remain the same because the new players would be
added below the existing median, and the position of the median would
not shift.
If one new player has a height lower than the current median and the other
has a height higher than the current median:
In this case, the median would be increased.
Adding a taller player would shift the median towards the higher end of the data set.
If both new players have heights higher than the current median:
In this case, the would be increased.
Both new players would be taller than the current median, causing the
median to shift towards the higher end of the data set.
Based on these possibilities, the answer is C.
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3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?
A 1
B 2
C 3
D 4
Answers
Answer:
Option D, 4
Step-by-step explanation:
2 pizzas x 6 slices per pizza = 12 slices of pizza
12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend
Option D, 4, is your answer
Could someone help me on this assignment I don’t quite understand
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes,
Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Which graph could represent Liana's distance from the campsite and time?
Answers
Answer:
The answer would be A
Step-by-step explanation:
The Y axis represents the distance Liana traveled from 0 (campsite). the X axis represents the amount of time.
Liana travels away from the campsite for 30 minutes (slope), and then she stops completely for 10 minutes (no Y axis moments). She then returns back to camp faster (minutes)
Every other answer is incorrect as they maintain a single block from the graph, and each block is counted as 5 minutes. The only answer that has that 10 minute wait is answer A
The correct graph of this situation is showing in Graph 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes,
And, Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Now,
Let time is showing on x - axis.
And, Distance from campsite in on y - axis.
Hence, In graph 2;
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes, And, Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
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Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
Answers
Answer:
18 feet long
Step-by-step explanation:
252 ÷ 14 = 18
:)
If P(A) = 0.70 and P(B)=0.20, then A and B are independent events if
A. P(A or B) = 0.90
B. PA and B) = 0.14
C. P(A or B) = 0.14
D. P(A and B) = 0
Answers
Answer:
B. P(A and B) = 0.14
Step-by-step explanation:
To determine if events A and B are independent, we need to check if the probability of their intersection, P(A and B), is equal to the product of their individual probabilities, P(A) and P(B).
If A and B are independent events, then P(A and B) = P(A) * P(B).
Given that P(A) = 0.70 and P(B) = 0.20, let's calculate their product:
P(A) * P(B) = 0.70 * 0.20 = 0.14
Now, let's evaluate the answer choices:
A. P(A or B) = 0.90:
This does not provide information about the intersection of A and B, so it doesn't help determine if A and B are independent.
B. P(A and B) = 0.14:
This matches the product of P(A) and P(B) calculated earlier. If this option is true, then A and B are independent events.
C. P(A or B) = 0.14:
This is the same value as the product of P(A) and P(B), but it represents the probability of their union (A or B). It doesn't provide information about their intersection, so it doesn't help determine if A and B are independent.
D. P(A and B) = 0:
This does not match the product of P(A) and P(B) calculated earlier. If this option is true, it would imply that A and B have no common outcomes, making them independent.
Therefore, based on the calculations, the correct option is:
B. P(A and B) = 0.14
If P(A and B) equals the product of P(A) and P(B), then events A and B are independent.
is 13 over 12 a proper or an improper fraction?
Answers
Step 1
An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)
Step 2
Conclude based on step 1
Hence
\(in\text{ }\frac{13}{12}\text{ the numerator 13 is bigger than the denominator 12, th}erefore\text{ it is an improper fraction}\)Therefore the right answer is an improper fraction
The annual snowfall in city a is 69.8 inches. this is 14.5 inches more than times the snowfall in city b. find the annual snowfall for city b.
Answers
The annual snowfall for City B is approximately 4.81 inches.
To find the annual snowfall for City B, we need to solve the equation given in the question: 69.8 = 14.5x, where x represents the snowfall in City B.
This simplifies to:
69.8 / 14.5 = x
This simplifies to:
4.81 ≈ x
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what is the answer of the above question in the diagram
Answers
Order of operations:
add first (2 + 2)
Multiply ( 2 x (4))
Divide ( 8/(8))
= 1
Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element ds and infinitesimal area element dA are:
Answers
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.
The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.
The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.
Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.
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The question attached here seems to be incomplete, the complete question is:
Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are: A. always in the same direction B. always in opposite directions C. always perpendicular to each other D. never perpendicular to each other E. none of the above
[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E
![[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/YGRkPxMcoeyD9sJCpTe6HyG2J3uv6Y8S.jpeg)
Answers
Answer:
Point C
Step-by-step explanation:
We want to reflect across the x axis
That means the y coordinate changes sign
Z = ( 5 1/2 , 3)
Z' = ( 5 1/2 , -3)
That is point C
I need help with this ASAP .. I have to get it done before morning.. I need help with both of them ASAP
Answers
Step-by-step explanation:
there is a (V.O.A) which is vertically opposite angle
and in the given part he himself said that there is two = angles
so there for the two third angles are equal
so we can say they are similar
the list shows the weight in pounds of 6 puppies at birth. 3, 1.6, 2.8, 2.5, 1.7, 2.8 what is the mean absolute deviation of these numbers?
Answers
Step 1: Find the mean (average) of the numbers.
Mean = (3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6 = 2.3667 (rounded to 4 decimal places)
Step 2: Find the absolute deviation of each number by subtracting the mean from each number and taking the absolute value.
|3 - 2.3667| = 0.6333
|1.6 - 2.3667| = 0.7667
|2.8 - 2.3667| = 0.4333
|2.5 - 2.3667| = 0.1333
|1.7 - 2.3667| = 0.6667
|2.8 - 2.3667| = 0.4333
Step 3: Find the mean of the absolute deviations.
MAD = (0.6333 + 0.7667 + 0.4333 + 0.1333 + 0.6667 + 0.4333) / 6
MAD = 0.5 (rounded to 1 decimal place)
Therefore, the mean absolute deviation of the given set of numbers is 0.5.
Can you please solve this
Answers
Step-by-step explanation:
To get the x intercepts you need to set y = 0.
So you will get:
\(x^{2}\) - 4x - 12 = 0
which can then be put in the form of:
(x - 6) (x + 2) = 0
The x intercepts are: (6,0) and (-2,0).
For the vertex you would need to convert the equation to vertex form.
which is : y = a\((x-h)^{2}\) =k
\(x^{2}\) - 4x - 12 = y
turn it in to square form:
(\(x^{2}\) - 4x + 4) - 12 - 4 = y
\((x-2)^{2}\) - 16 = y
so the vertex is = (2, -16)
how do I become a better math student
Answers
Answer:
by continueing to study
Step-by-step explanation:
Write each equation in slope intercept form x+2y=10
Answers
Answer: y= -1/2x+5
Step-by-step explanation:
You have to get it to y= so first, you would get the y on one side.
so subtract the x first.
2y=10-x
then, divide by 2!
Which gives you y=-1/2x+5
My dog, Lilly, weighs 3.8 pounds.
Round this to the nearest whole
number (ones place).
Lilly weighs about [?] pounds.
Answers
Answer:
4 pounds
Step-by-step explanation:
Since 8 is above 5 you would round the 3 up to a 4
(click the brain on the top right of my answer)
Answer:
4 pounds
Step-by-step explanation:
Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: LaTeX: H_0 H 0 : LaTeX: \mu=0 μ = 0 LaTeX: H_a H a : LaTeX: \mu>0 μ > 0 where LaTeX: \mu μ is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class. The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028. What can we conclude?
Answers
The SAT prep class has no influence on the mean difference in SAT writing scores, hence the null-hypothesis (H0) states that the mean difference is zero.
The alternative theory (Ha) states that the SAT prep course has a positive impact on the mean difference in SAT writing scores, resulting in a mean difference that is greater than zero.
The sample size of 50 is sufficient for us to do the hypothesis test using the t-distribution.
The estimated t-test statistic is 1.96, and at the 5% level of significance, it is significant only if it is in the rejection zone of the null hypothesis (1.677 is the crucial value for a one-tailed test with 49 degrees of freedom).
The calculated p-value of 0.028 is less than the threshold of 0.05, the null hypothesis is also rejected in favour of the alternative hypothesis.
To draw the conclusion that the SAT prep course has a favourable impact on the mean difference in SAT writing scores. Particularly, at the 5% level of significance, the sample-mean difference of 5 is statistically significantly greater than zero.
Therefore, it is reasonable.
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Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?
Answers
Answer:
He will read 1/2 more than Philippe
Step-by-step explanation:This will be because is Rafael reads 1/2 and Philippe reads 1/2 of that it would still be 1/2
Lola already has 6 pennies, and she plans to save more. In her first week of saving pennies, she will save twice the
number of pennies that she already has. Each week after, she will save twice the number of pennies as the previous
week.
Which equation can be used to determine the number of pennies, p, Lola will save during week w of saving pennies?
Answers
Answer:
c
Step-by-step explanation:
question content area top part 1 a particular type of wood-frame door is priced at $1480 with a sales tax of $370. find the rate of sales tax.
Answers
The sales tax rate for a specific type of wood-frame door priced at $1480 is 25%, or $370.
What is percent?Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a relative value that represents one hundredth of a quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given quantity. A percentage is a fraction of a whole expressed as a number between 0 and 100.
Here,
Sale tax=$370
Price of door=$1480
Sales tax percent=370/1480*100
=25%
The rate of sales tax for a particular type of wood-frame door is priced at $1480 is 25% that is $370.
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