In iscosceles right triangle the value of the unknown sides is equal to [tex]3\sqrt{2}[/tex] and it can be deteremine by using pythagorean theorem.
Given :
Iscosceles right triangle.Hypotenuse = 6.Both remaining sides are equal.Let the length of unknown sides be 'a'. Than to deteremine the value of a, pythagorean theorem can be used.
[tex]\rm (Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2[/tex]
[tex]6^2 = a^2+a^2[/tex]
[tex]2a^2 = 36[/tex]
[tex]a^2 =\dfrac{36}{2}[/tex]
[tex]a = \sqrt{18} =3\sqrt{2}[/tex]
Therefore, by applying pythagorean theorem the value of a which is [tex]3\sqrt{2}[/tex] can be determine.
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The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle measure are given.
What is the measure of angle X? Round the answer to the nearest tenth.
Due to his good credit history, Francis was able to purchase a home with a good interest rate on his loan. Assuming Francis has the ability to choose the length of his loan and the amount of the down payment, what method would help Francis decrease the total cost of the loan? Select the best answer from the choices provided. reducing the down payment increasing the length of the loan increasing the length of the loan and reducing the down payment reducing the length of the loan and increasing the down payment
Answer:
Reducing the length of the loan and increasing the down payment
Step-by-step explanation:
Assuming Francis has the ability to choose the length of his loan and the amount of the down payment.
The method that would help Francis to decrease the total cost of the loan is - reducing the length of the loan and increasing the down payment.
When a person pays more amount in down payment, then he will have to loan out a smaller amount. And he will have to pay less interest. If the loan is short, the interest to be paid will be less. If the loan term is long, the interest also increases. One has to pay interest for the whole tenure of the loan.
So, if someone wants to reduce the loan amount, he must pay more in down payment.
Which measurement is most accurate to describe the width of a math book?
8 inches
2 feet
1 yard
2 inches
simplify 6a^(2)-[-5-(9a^(2)-3a)]-[8+(-19a-8)]
Laura has $18.45 left after buying a shirt for $16.80 and a sweater for $24.75
How much money did Laura start with?
plz explain
Laura started with $60.00 before purchasing a shirt for $16.80 and a sweater for $24.75, and then had $18.45 remaining.
Calculating Laura's Starting Amount
To find out how much money Laura started with, we need to add the amount she spent on the shirt and sweater to the amount she had left over. Laura spent $16.80 on a shirt and $24.75 on a sweater. After these purchases, she had $18.45 remaining.
We calculate the total amount spent by adding the costs of the shirt and sweater together:
Cost of the shirt: $16.80
Cost of the sweater: $24.75
Total spent: $16.80 + $24.75 = $41.55
We now add the amount left after the purchases to find the total amount Laura started with:
Total spent: $41.55
Amount left: $18.45
Total amount Laura started with: $41.55 + $18.45 = $60.00
The dimensions of a certain ibm machine are 20" x 17" x 48". if the size of the machine is increased proportionately until the sum of its dimensions equals 200", what will be the increase in the shortest side
A photo processing place can develop 488 photos in 8 hours. How many photos can it develop every hour? A. 61 photos B. 480 photos C. 496 photos D. 3,904 photos
Which graph represents the solution set for the inequality x ≤ 18?
Answer:D. it’s the last one
Step-by-step explanation:
Is triangle ABC similar to triangle ADE? Justify your answer.
No! Triangle ABC is not similar to triangle ADE.
Triangle ABC is not similar to triangle ADE because the sides of triangle ADE is not corresponding to that of Triangle ABC.
Similar triangles are triangles that share the same shape but may differ in size. This means that while their corresponding angles are equal, their corresponding sides are proportional.
For two triangles to be considered similar:
Their corresponding angles must be congruent (equal).Their corresponding sides must be in proportion.In practical terms, this means that if you were to resize one triangle while maintaining the same angle measurements, you could transform it into the other triangle. The concept of similarity plays a crucial role in various mathematical fields, including geometry, trigonometry, and calculus. It enables us to solve problems involving indirect measurements, scale drawings, and geometric relationships.
Kyle made a loaf of banana bread. He gave equal portions of 1\2 of the loaf to 4 friends what diagram could kyle use to find the fraction of the whole loaf of banana bread that each friend get
b(t)=50(1.4)^t
What is the y-intercept of the function?
What does this mean in the context of the problem?
What is the equation of the line in slope-intercept form that is perpendicular to the line y =
3/4x – 2 and passes through the point (–12, 10)? y = x – 6 y = x + 6 y = x + 26 y = x + 10
Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.
What was the experimental probability of rolling a 4?
Number Rolled - Frequency - Experimental Probability
1 15 0.15
2 17 0.17
3 17 0.17
4 14 ?
5 21 0.21
6 16 0.16
Answer:
The experimental probability of rolling a 4 is 0.14.
Step-by-step explanation:
Given : Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.
Number Rolled - Frequency - Experimental Probability
1 15 0.15
2 17 0.17
3 17 0.17
4 14 ?
5 21 0.21
6 16 0.16
To find : What was the experimental probability of rolling a 4?
Solution :
Formula to find the experimental probability is
[tex]\text{Experimental Probability}=\frac{\text{Frequency of the number}}{\text{Total number of times cube roll}}[/tex]
We also notice that this pattern follows by other numbers also.
So, The experimental probability of rolling a 4 is
[tex]\text{Experimental Probability}=\frac{14}{100}[/tex]
[tex]\text{Experimental Probability}=0.14[/tex]
Therefore, The experimental probability of rolling a 4 is 0.14.
What is the explicit rule for the sequence?
47,42,37,32, …
an=42−5n
an=5n+42
an=5n+52
an=52−5n
General Idea:
Arithmetic sequence is a sequence which have common difference. The [tex] n^{th} [/tex] term of arithmetic sequence is given by the below formula:
[tex] a_n=a_1+(n-1)\cdot d\\ \\ Where:\\ a_1 \; is \; the \; first\; term\; of\; the\; sequence\\ n is \; the\; number \; of\; terms\; in\; the\; sequence\\ d\; is\; the\; common\; difference\; =\; a_2-a_1 [/tex]
Applying the concept:
47,42,37,32, …
[tex] a_1=47\\ \\ a_2=42\\ \\ d=a_2-a_1=42-47=-5\\ \\ a_n=47+(n-1) \cdot -5\\ a_n=47-5(n-1)\\ Distributing \; 5\; inside \; the \; parenthesis\\ \\ a_n=47-5n+5\\ Combine\; like\; terms\\ \\ a_n=52-5n [/tex]
Conclusion:
The explicit rule for the sequence 47,42,37,32 is [tex] a_n=52-5n [/tex]
Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are there?
a.6
b.5
c.3
Answer:
A
Step-by-step explanation:
The correct answer is A. 6
suppose a classmate claims that the differnece between (x+2)2 and (x2+4) mist be 0. Is your classmate correct? Choose the best explanation.
No, the classmate is not correct. The difference between (x+2)² and (x²+4) is 4x.
Explanation:No, your classmate is not correct. The difference between (x+2)² and (x²+4) is not necessarily 0. To find the difference, we need to expand both expressions and then simplify:
(x+2)² = x² + 4x + 4
(x²+4) = x² + 4
So, the difference between the two expressions is (x² + 4x + 4) - (x² + 4) = 4x. Hence, the difference is not 0.
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Which type of line establishes special angle relationships when intersected with one or more lines?
Simplify and leave in radical form.
8√x^2 y^6
100 points? Yea, that's right!
Question 3 options: (be sure to explain)
A.) a scalene hexagon -- i know it is not true
B.) a regular hexagon -- not sure
C.)an equiangular hexagon -- my best guess.
D.) an equilateral hexagon -- i know it is not true
Hello!
The most logical answer would be a quiangular hexagon
I hope it helps!
Find the roots of the equation x^3-3x^2+x+5
Please help me with this question....
Is 0.17 repeating times square root of 108 rational or irrational? Justify your answer.
The circumference of a circle is 40π. Find the diameter.
How many ways are there to distribute five balls into seven boxes if?
Which of these is a correct statement regarding payday loans?
A.) Theyŕe easier to get than both car loans and credit cards.
B.) Theyŕe easier to get than credit cards but harder to get than car loans.
C.) Theyŕe easier to get than car loans but harder to get than credit cards.
D.) Theyre harder to get than both car loans and credit cards.
Answer:
A.) They are easier to get than both car loans and credit cards.
Step-by-step explanation:
Payday loans are also called cash advance loans or check advance loans.
These loans are comparatively very easy loans for a person to get. These are short term loans that come with high interest rates. The rates are based on the borrower's income and credit profile.
In this loan the principal amount is typically a small portion of the borrower's next paycheck.
Why are angles measured in degrees minutes and seconds?
a)Natalie has read 3/4 of a book that is 120 pages long. How many pages does she have left to read?
b) What is: one half of 45?
c) What is: one third of 50?
d) What is one half of 1/4 ?
e) what is one third of 73
f) What is: one third of 1/3 ?
g) what is one third of 1/9?
Please help! I think I know but somehow, my answers are all wrong. 20 points
Answer:
a) 30 pages b) 22.5 or 45/2 c)50/3 or 16.67 d) 1/8 e) 73/3 or 24.33 f)1/9 g) 1/27
Step-by-step explanation:
a) If Natalie has read 3/4 then all that's left is 1/4 of the book to read a whole book since 3/4+1/4=4/4=1
1/4 of 120=30 pages
b) One half of 45 is the same as dividing it by two or multiplying by 1/2.
1/2*45=45/2 =22.5
c) One third of 50, is the same of multplying by 1/3 then 1/3*50≈16.67
d) Take a look back at letter b. One half (1/2) of 1/4 is :
[tex]\frac{1}{2}*\frac{1}{4}=\frac{1}{8}[/tex]
e) One third of something, is 1/3 times something like previous cases above so 1/3*73=73/3≈24.33
f) One third of One third, is 1/3 times 1/3:
[tex]\frac{1}{3}*\frac{1}{3}=\frac{1}{9}[/tex]
g) One third of 1/9 is 1/3 times 1/9:
[tex]\frac{1}{3}*\frac{1}{9}=\frac{1}{27}[/tex]
Do not forget the rules of multiplying fractions. Numerator times Numerator, Denominator times Denominator. When we read a third, half,.. of this means one half times
Hassan built a fence around a square yard. It took 500 feet of lumber to build the fence. The fence is 5 feet tall. What is the area of the yard inside the fence?
The area of the yard inside the fence will be 15,625 feet². Square centimeters and other similar units are used to measure area.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
lumber required to build the fence = 500 feet
The side of the square yard is ;
[tex]\rm a = \frac{500}{4} \\\\ a =125\ feet[/tex]
The fence is 5 feet tall. The area of the yard inside the fence is found as;
[tex]\rm A_f = side \times side \\\\ \rm A_f =125 \times 125 \\\\ \rm A_f =15,625 \ feet^2[/tex]
Hence the area of the yard inside the fence will be 15,625 feet².
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Maren is buying carpet for her rectangular living room. The room is 4.8 yards wide and 5.2 yards long. How much carpet does she need to buy?
Answer
A = 24.96 yd^2
Step-by-step explanation:
We need to find the area of the room
Area is length times width
A = lw
We know the length is 5.2 yds and the width is 4.8
A = 5.2 * 4.8
A = 24.96 yd^2
What are the solutions to the equation x² = 256?
a pizzeria sells a round pizza with the diameter of 24 inches. what is the area and what is the circumferance