Answers
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]
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Related Questions
I have invested for a loan of Php 5,000, and I need to repay in one lump sum at the end of one year. What annual interest rate corresponds to a lump-sum payment of Php 5,425?
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Based on the information given, it can be deduced that the annual interest rate will be 8.5%.
Principal = 5000
Interest = 5425 - 5000 = 425
Time = 1 year
Rate = Unknown.
Simple Interest = PRT / 100
425 = (5000 × R × 1)/100
42500 = 5000R.
R = 42500/5000
R = 8.5%
In conclusion, the correct option is 8.5%.
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help please use picture
Answers
[tex]y = x + 4[/tex]
Step-by-step explanation:
Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]
Therefore, the general slope-intercept form of the equation of the line is
[tex]y = x + b[/tex]
where b is a constant. To solve for it, let's use one of the points. I'll use P2:
[tex]4 = (0) + b \Rightarrow b = 4[/tex]
Therefore, the slope-intercept form of the equation of the line is
[tex]y = x + 4[/tex]
help me please and thank you
Answers
Rationalize the denominator and simplify.
6
15 - 3
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Answer:
[tex]a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5[/tex]
9. A box of cereal weighs 600 grams. How much is this weight in pounds?
Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answers
Answer:
1.323 pounds I think I'm not too sure thi sorry
Answer:
1.32 pounds
Step-by-step explanation:
convert 1kg to 1000g
[tex]1000g = 2.2pounds[/tex]
Find out how many pounds per 100g
[tex]100g = 0.22 \: pounds[/tex]
multiply by 6 to get 600g and multiply right hand side of the equation as well
[tex]600g = 0.22 \times 6[/tex]
[tex]600g = 1.32 \: pounds[/tex]
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answers
Answer:
5/9 yards
Step-by-step explanation:
[tex] \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} [/tex]
The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip
Answers
Answer:
$ 156.86
Step-by-step explanation:
We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.
The total bill including tip would 136.40 plus 15% of136.40plus15136.40.
\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40
\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40
\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46
\text{Total bill}=\$156.86Total bill=$156.86
Therefore, the total cost of bill including tip would be $156.86.
$136.40 + $20.46 = $156.86
Your answer: $156.86
What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.
Answers
Answer:
1/30
Step-by-step explanation:
-5+i/2i ????
please help!
Answers
[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]
ok done. Thank to me :>
If f(x) = x2 – 1, and
g(x) = x + 2, then
g(f(x)) = [ ? ]x2 +[ ]x +[
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=g[f(x)]
=g[x2-1]
=x2-1+2
CAN SOMEONE ANSWER THIS!!!!!!!!
Answers
Answer:
Step-by-step explanation:
2 now help me :(
Help help help math math
Answers
Answer:
I think its vertical opposite angle
What is the value of 40 1/2÷3 1/2
Answers
Answer:
81/7 (11.57, 11 4/7)
Step-by-step explanation:
Lets rewrite these mixed fractions
[tex]40\frac{1}{2}=\frac{81}{2}[/tex]
[tex]3\frac{1}{2} =\frac{7}{2}[/tex]
Here we can do divide these two numbers:
[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]
The answer therefore is 81/7, or 11.571 (11 4/7)
Help I need help solving this!
Answers
Answer:
Step-by-step explanation:
3. A recipe for banana cakes calls for 6 cups of mashed banana to 9 cups of flour. How many cups of
flour per cup of mashed banana does the recipe require?
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3:1
Pls help I’ll brainlest ASAP
Answers
Answer:
slope = change over y/change over x
point 1: (-3,-4)
point 2: (2,3)
(-4-3)/(-3-2)=(-7)/(-5)=7/5
y=mx+b -> m=slope, b=y-intercept
y=(7/5)x+b
plug in one of the points
3=(7/5)*2+b
3=14/5+b
b=1/5
slope = 7/5, y-intercept = (0,1/5)
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L
Answers
Answer:
Step-by-step explanation:
11L - 42 = 4L
7L = 42
L = 6
A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs
Answers
Answer:
One pair of jeans will cost $31.50
Step-by-step explanation:
To find how much one pair of jeans will cost let's write an equation
where the cost of one pair of jeans is x
∴ 3×x=94.50
to find x we will divide both sides by 3
∴3÷3×x=94.50÷3
which makes the equation
∴x=31.50
meaning that one pair of jeans costs $31.50
94.50=3*x
solve for x
94.59/3=x
31.50=x
each pair of jeans will cost $31.50
What will a 68% do to a 72.99%?
Answers
Answer: If you are wondering about your grades, it becomes 70.495. Therefore, your grade becomes a 70.
It will be lowered vy like one or two percent
i think
PLZ HELP WITH ME WITH MY MATH HOMEWORK!!!!! SHOW WORK!!!!!
Answers
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
Which of the following is an equilateral triangle based on the given figure?
Answers
Check the picture below.
Answer:
ΔABEStep-by-step explanation:
In ΔBCD,
Two sides are equal, i.e,
BC = CD
therefore, it is a Isoceles Triangle.
In ΔBDE,
No sides are equal,
therefore, it is Scalene Triangle.
In ΔABE,
AB = BE = AE
Therefore, it is equilateral triangle.
Hope it helps you!!Help me solve this please, im really bad at stuff like this
Answers
Answer:
given
Step-by-step explanation:
Answer:
statement - reason
BC||AD, <BAD is congruent to <DCB - given
<CBD is congruent to <ADB - alternate interior angles
BD is congruent to BD - reflexive (?)
triangle ADB is congruent to triangle CBD - AAS
AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)
A movie theater charges $7.00 for adults and $2.00 for senior citizens. On a day when people paid for admission, the total receipts were $1225. How many who paid were adults? How many were seniors?
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Answer:
7.00+2.00=9.00
2.00-7.00=5.00
113-5.[ 2 3-( 2 3+(6))]
Answers
Answer:
143 should be correct
Step-by-step explanation:
hope this helps
Which of the following does NOT represents a function?
Answers
Two researchers, Justin and Henry, work together to study what proportion of subjects have a certain genotype in the population. They each collect a simple random sample and they find that the sample proportion is 0.70. When they construct a confidence interval based on this sample proportion, Henry comes up with (0.632, 0.768) while Justin gets (0.652, 0.788). Indicate which interval has to be wrong and why.
Answers
Using confidence interval concepts, it is found that Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.
A confidence interval has two bounds, a lower bound and an upper bound. A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds. The margin of error is the difference between the two bounds, divided by 2.In this problem, the point estimate is of 0.7.
Henry's interval is symmetric, as [tex]0.768 - 0.7 = 0.7 - 0.632[/tex].Justin's is not, as [tex]0.788 - 0.7 \neq 0.7 - 0.652[/tex].Hence, Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.
For more on confidence intervals, you can check https://brainly.com/question/25822483
PHOTO ATTACHED CAN SOMEONE PLZ FR HELP LIKE NOT LIKE A LINK OR A ANSWER FOR THE POINTS I NEED SOME HELP!!!!!!!! thank you :)
Answers
Answer:
80a²b³c
Step-by-step explanation:
As with numbers, the LCM is the product of the highest-powered factors.
16ab³ = 2⁴×a×b³
5a²b² = 5×a²×b²
20ac = 2²×5×a×c
The highest power of the factor 2 is 2⁴.
The highest power of the factor 5 is 5.
The highest power of the factor a is a².
The highest power of the factor b is b³.
The highest power of the factor c is c.
The LCM is 2⁴×5×a²×b³×c = 80a²b³c
Enter the number that belongs in the green box
Answers
Answer:
128 degrees
Step-by-step explanation:
Opposite interior angles
Solve 2/5 - 1/7
Help pls this is timed!!!!
Answers
Answer:
9/35
Step-by-step explanation:
Answer:
9/35
Step-by-step explanation:
ok so find the lcm of 2/5 and 1/7: this is 35
then convert them
2/5 = 14/35
1/7 = 5/35
14/35 - 5/35 is 9/35
Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?
Answers
[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]