Find the length of side a.
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer: C. 5
Step-by-step explanation:
We'll use the Pythagorean Theorem to find the missing side.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
(simplify)
[tex]a^2 = \sqrt{25}[/tex]
a = 5
What would be the new exponent if you multiplied
10-2 x 105? Just write the number for the exponent.
Answer:
The number of the exponential is 3
Step-by-step explanation:
10^-2×10^5
According to the law when the base are equal you pick one then add the power when it is multiplication when it is division, you subtract the power
10^-2+5=10^3
Pls make answer as brainlist
Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression
Answer:
a₁ = 37
Step-by-step explanation:
In an arithmetic progression the common difference d is
d = a₂ - a₁ = a₃ - a₂ , that is
2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides
2x - 18 - x - 1 = 2x - 1 - 2x + 18
x - 19 = 17 ( add 19 to both sides )
x = 36
Thus
a₁ = x + 1 = 36 + 1 = 37
Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
a. The relationship cannot be determined.
b. The final mean is the same as the original.
c. The final mean is lower than the original.
d. The final mean is higher than the original.
Answer:
The final mean is higher
Step-by-step explanation:
The mean of all the scores = [tex]\frac{90 + 85 + 98 + 60 + 84 + 78}{6\\} = \frac{495}{6} = 82.5\\[/tex]
The mean of the scores with the 60 dropped = [tex]\frac{435}{5} = 87[/tex]
The final mean is higher
That will always happen when you drop the lowest score. I worked it out for you so that you would see that it happened in your case.
Answer:
lol i have this question too
Step-by-step explanation:
btw is yall really in highschool, cuz this is a middle school question......
use the distributivity of multiplication of rational numbers over addition to simplify:
-3/8 * (4/7+[-11/7])
Plssi want with explanation
9514 1404 393
Answer:
3/8
Step-by-step explanation:
The distributive property tells you the outside factor multiplies each term inside parentheses.
a(b +c) = ab +ac
(-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)
= -12/56 +33/56 = 21/56 = 3/8
A farmer needs to plant 180 tomato plants. He can plant 9 plants every 15 minutes.
a) What percentage of the planting will be complete after 75 minutes?
It will be
% complete.
b) How many minutes will it take to finish 90% of the planting?
It will take ____ minutes.
Answer:
52.94%
270 minutes
Step-by-step explanation:
1. 9 plants - 15 minutes
x plants - 75 minutes
Cross multiply
15x = 75 x 9
15x = 675
Divide both sides by 15
x = 675/15
x = 45 plants
45/85 x 100
= 52.94%
2. 90% of 180
= 90/100 x 180
= 162 plants
9 plants - 15 minutes
162 plants - x minutes
Cross multiply
9x = 162 x 15
9x = 2430
Divide both sides by 9
x = 2430/9
x = 270 minutes or 4 hours 30 minutes.
Joseph made 5% of his free throws over the season. If he shot 160 free throws, how many did he make?
i rly need help omagash
what is the solution to the inequality
The figure below is reflected over y-axis and then rotated 180° counterclockwise.
What are the coordinates of the image of point Y after these transformations?
Answer:
The coordinates of point y after the transformation is (-6,5)
Step-by-step explanation:
Firstly , we need to get the coordinates of the point y before the transformation
The coordinates are
(-6,-5)
By reflecting over the y-axis, we have the following change;
(x,y) becomes (-x,y)
So we have;
(6,-5)
Then we are to rotate at an angle of 180 degrees counterclockwise
The operation here will be;
(x,y) to (-x,-y)
So we have;
(6,-5) to (-6,5)
One-half cup is 4 fluid Ounces. How many fluid Ounces will 7% cups be?
A set cards has the numbers 1 through 25 on each card. Each numbers appears on exactly one card. What is P (less than8)?
Answer:
7/25
Step-by-step explanation:
what ur fav ainme :)
find the value of given expression
[tex] \sqrt{8100} [/tex]
Answer:
90 is the answers for the question
What is 90\%90%90, percent of 202020?
Answer:
90 Percent of 20 is 18
Step-by-step explanation:
multiply 90 x 100 then divide by 20
What is the number lateral faces, bases, edges and vertices? Pls I need this ASAP
Answer:
4 lateral faces
1 base
8 edges
5 vertices
30 points I need help asap
Answer:
Volume= 510 in^3
Step-by-step explanation:
Break it into pieces
4*17*5=340
4*7*5=140
3*4*1/2=6, *5=30
340+140+30=510
what number can go into 48 and 24
Answer:
1, 2, 3, 4, 6, 8, 12, 16
Step-by-step explanation:
just factor it
What is the value of x?
Answer:
the solution is 4sqrt(2)
please help meee!
If the points (-9, ) and (-8, -9) fall on a line with a slope of -5. What is the value of f?
Answer:
the value of f is -9
Step-by-step explanation:
Maria buys 4 1/5 pounds of plums. The total cost after using the coupon for 55 cents off her entire purchase is 3.23$. If c represents the cost of the plums in dollars per pound, what equation could represent the situation?
$3.23 = 4 1/5c - .55
4 1/5c = the pounds of plums, and the cost of each pound. - .55 represents subtracting the coupon.
Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.
5(14-16-4x)
2(30-45-10)
5(12y-18-4x)
10(6y-9-2x)
Johnson Middle School has 400
students. Pam surveys a random
sample of 40 students and finds that
15 of them have a computer. How
many tolal students at the school are
likely to have computers?
A 60
B 150
C 160
B 150
Answer:
the answer is B. 150
Please solve help plz plz plz
Answer: it is an octagonal prism
Answer:
It's a hexagonal prism
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answer:
I believe that you are missing the...
Hypotenuse and Adjacent
Hypotenuse: x ≈ 29.79 units
Adjacent: x ≈ 38.89 units
Step-by-step explanation:
So sorry if it's wrong
A quadrilateral has two angles that measure 290° and 20°. The other two angles are in a
ratio of 2:3. What are the measures of those two angles?
Answer:
Step-by-step explanation:
The remains two angles are 2x and 3x.
2x+3x = 360-290-20 = 50°
x= 10°
One angle is 20°. The last angle is 30°
What is the equivalent numerical value of the expression 2−4×27
Steve uses 14 blue beads and 6 green beads to make a bracelet. Which ratio compares the number of blue beads to the total numbers of beads in one bracelet?
A. 14:6
B. 6:14
C. 6:20
D. 14:20
There are 14 blue beads in total. If you use 14 blue needs and 6 green needs that is 14+ 6 which equals 20.
A triangle has sides with lengths of 44 meters, 55 meters, and 77 meters. Is it a right triangle?
Answer:
no it is not a right triangle because the lengths add up to 176 and a right triangle should add up to 190.
Step-by-step explanation:
The side measures of the triangle does not form a right triangle.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The side lengths of the triangle are 44 meters, 55 meters, 77 meters.
For the triangle to be a right triangle, one interior angle should be 90°.
Based on the sides, by Pythagoras theorem,
Square of long side = sum of square of other two sides
⇒ [tex]77^{2}=44^{2} +55^{2}[/tex]
⇒ [tex]5929=1936+3025[/tex]
⇒ [tex]5929\neq 4961[/tex]
Hence we can conclude that the side measures of the triangle does not form a right triangle.
Learn more about triangles here
https://brainly.com/question/6322314
#SPJ2
A singles tennis court measures (8x - 2) ft long and (3x – 3) ft wide.
Answer:
24x²-30x+6
Step-by-step explanation:
multiply the parentheses
(8x-2)(3x-3)
calculate multiply
8x•3x-8x•3-2•3x-2•(-3)
collect like terms
24x²-30x+6
The possibility of an event happening is its ______.
Answer:
Probability
Step-by-step explanation:
Answer:
Probability.
Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.