Answer:
[tex]\boxed {\boxed {\sf b \approx 11.53 \ in}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this theorem, a and b are the legs and c is the hypotenuse.
We are given one leg that is 6 inches and the hypotenuse is 13 inches. We don't know the other leg. Substitute the known values into the formula.
[tex](6 \ in)^2+b^2=(13 \ in)^2[/tex]
Solve the exponents.
( 6 in)²= 6 in* 6 in= 36 in²[tex]36 \ in^2+b^2=(13 \ in)^2[/tex]
(13 in)²= 13 in*13 in= 169 in²[tex]36 \ in^2+b^2=169 \ in^2[/tex]
Now, solve for b (the unknown side) by isolating the variable. 36 square inches is being added. The inverse of addition is subtraction, so we subtract 36 from both sides.
[tex]36 \ in^2-36 \ in^2+b^2=169 \ in^2- 36 \ in^2[/tex]
[tex]b^2=169 \ in^2- 36 \ in^2[/tex]
[tex]b^2=133 \ in^2[/tex]
b is being squared. The inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt {b^2}=\sqrt {133 \ in^2}\\[/tex]
[tex]b=\sqrt {133 \ in^2}\\[/tex]
[tex]b= 11.5325625947 \ in[/tex]
Let's round to the nearest hundredth. The 2 (11.5325625947) in the thousandth place tells us to leave the 3.
[tex]b \approx 11.53 \ in[/tex]
The length of the other leg is approximately 11.53 inches.
Answer:
7 inches duhh
Step-by-step explanation:
James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.
Answer:
43+25=68
Step-by-step explanation:
Which system of equations is shown by the graph?
Answer:
y-x=15 and 25+2x=y
Step-by-step explanation:
What would it be? thank you
Answer:
C = 43.98 inches; A = 153.94 square inches
Step-by-step explanation:
2*pi*(7)=43.98
pi*(7)^2=153.94
What is the solution
n/7=5
Step-by-step explanation:
n/7=5
times 7 on both sides
n=35
which angle is vertical to <4
Answer:
<1
Step-by-step explanation:
Hope this helps :)
a27=16
a
27
=
16
. What is the value for a?
a=11
Step-by-step explanation:
b/c a27=16 then both side subtract 27
27-27=16-27then a=11
Smart math people want brainliest?
A slide 4.1 meters long makes an angle of 35° with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
Answer:
2.351 or 2.4
Step-by-step explanation:
What is the slope of Y-9=-2(x-8)
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
d
Step-by-step explanation:
I did the test. .........................
Answer:
D
Step-by-step explanation:
I did the test :)
What are two numbers that multiply to 18 but add to -9?
Answer:
-6 and -3
-6 x -3 = 19
-6 + -3 = -9
Answer:
-6 x -3 = 18
-6 + -3= -9
Step-by-step explanation:
hope it helps!!
can someone help me please
C. most of the customers chose baked potato.
An emergency room doctor prescribes a certain pain medication to be delivered through an IV drip. She prescribes 800 mL of the medication to be delivered over the course of 8 hours. The IV delivers 1 mL of medication over the course of 30 drips. How many drips per minute are needed to deliver the prescribed dosage?
Answer:
The number of drips per minute needed to deliver the medication at the prescribed dosage is 50 drips per minute
Step-by-step explanation:
The given parameters are;
The volume of the prescribed medication to delivered through IV = 800 mL
The duration over which the drug is to be delivered = 8 hours
The rate at which the IV delivers the medication = 30 drips/1 mL
800 mL = 800 × 1 mL
Therefore, the total number of drips in 800 mL= 800 mL × 30 drips/mL = 24,000 drips
The rate at which the drug is delivered = 800 mL/(8 hours) = 100 mL/hr = 100/60 mL/minute = 10/6 mL/minute
The total number of drips in 10/6 mL= 10/6 mL × 30 drips/mL = 50 drips
∴ The rate at which the medication needs to be delivered = 10/6 mL/minute = 50 drips/minute
The number of drips per minute needed to deliver the medication at the prescribed dosage of 800 mL/(8 hours) = 10/6 mL/minute = 50 drips per minute.
which sign do i use??/
What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)
Answer:
7/2
Step-by-step explanation:
y2-y1/x2-x1
(6-(-1)/8-6) = 7/2
I don’t have a cluejdjdnndndjdjdhdhemjejejejeje
Answer:
8320
Step-by-step explanation:
So first you multiply 8 by 10 because that's how much quarts you use when you saved so you get 80 quarts you multiply by 4 because that is how much you use in a week so 320 in a week there is approximately 52 weeks in a year. So 320 by 52 which is 16640 quarts in a year. Then you do the same thing but with 15 because its before you save so in total 15 minutes a shower for a year is 24960. So you get 24960 then subtract 16640 which is 8320.
Please help me with my geometry work
Find the area of the rectangle. Round to the nearest whole number.
A
10
B.
20
С
24
D
32
Answer:
a
Step-by-step explanation:
Which list shows all the possible unique outcomes if Emilio chooses 3 buttons at one time from his jar?
Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).
Please show all the exact steps in order I am really lost on how to solve this.
Answer:
Solution given:
sin y = -4/5
p/h=4/5
p=4
h=5
b=√{5²-4²)=3
cos y = b/h=-3/5
again
cos x=12/13
b/h=12/13
b=12
h=13
p=√(13²-12²)=5
sin x=p/h=5/13
now
sin[x-y]=sinxcosy-cosxsiny
=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.
PLS HELP ME !!! i will give you 20 points
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 79
Explanation:
180 - 101 = 79
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
79°
Step-by-step explanation:
180° - 101° = 79°
Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all? plss hep me thank you!!
Answer: 34 books
Step-by-step explanation:
Since Erik read a total of 4 books over 2 months. This means that every month, he read (4/2) = 2 books.
After belonging to the book club for 17 months, the number of books that he'll have read will be the number of books he read per month multiplied by 17 months. This will be:
= 2 × 17
= 34 books
4/15 divided by 3/5
options:
4/9
7/15
13/15
4/25
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
If f (-8)= 0 and f (x)= x^3-x^2-58x+112, find all the zeros of f(x) write your answer in ascending order
Answer:
The zeros in ascending order are 2, 7, 8.
Step-by-step explanation:
Since f(-8) = 0, it means that (x + 8) is a factor of the function f(x)= x³ - x² - 58x + 112.
I have attached the long division of this to get the remaining factors of the polynomial function.
The remaining factor is;
x² - 9x + 14
Using quadratic formula via a calculator, we have; x = 7 and x = 2
Thus,the zeros of the polynomial function f(x)= x³ - x² - 58x + 112 in ascending order are;
2, 7, 8
if the area of a rectangle is represented by x^2 – 25, write the length and width of the rectangle as factors.
Answer:
it's a square with sides all equal to 5 units
Step-by-step explanation:
What is the volume of a sphere with a radius of 30.5 cm, rounded to the nearest tenth
of a cubic centimeter?
Answer: 118846.973684 = 118847.0cm^3 it not 1.1 or 1.2
\
The volume of a sphere with a radius of 30.5 cm is, 118,786.72 cm³.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The radius of sphere = 30.5 cm
Now, We know that;
The volume of sphere = 4/3πr³
Where, 'r' is radius of sphere.
Hence, We get;
The volume of sphere = 4/3πr³
The volume of sphere = 4/3 × 3.14 × (30.5)³
The volume of sphere = 118,786.72 cm³
Thus, The volume of a sphere with a radius of 30.5 cm is, 118,786.72 cm³.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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Solve the given system of equations.
4x+5y=10
-x-8=3y
Find the perimeter of the figure.
pls help me, i will actually give BRAINLIEST:
What is the transformation shown in the graph?
Answer:
Step-by-step explanation:
it's rotated by 90° about the origin , in a clock wise direction
2. A store sells an assortment of batteries
in bulk packs of 300. Of those batteries.
90 are AAA size. What percent of the
pack are AAA-size batteries?
A 10%
B 30%
C 60
D 90
Answer quick PLZZ no website
Answer:
30%
Step-by-step explanation:
# of bulk packs = 300
# of triple As = 90
% = 90 / 300 * 100%
% = .3 * 100%
% = 30%
Answer:
b. 30%
Explanation:
90 ÷ 300 × 100%
= 9 ÷ 30 × 100%
= 0.3 × 100%
= 30%
i hope this helps! :D
6. It took Todd 9 hours to paint 4 rooms.
If he continued painting at that rate,
how many rooms could he paint in
12 hours? Explain your reasoning.
Answer quick PLZZ no website
Answer:
5 rooms
Step-by-step explanation:
4 rooms = 9 hours
9 hours = 540 minutes
1 room = 540 ÷ 4 = 135 minutes
60 x 12 = 720 minutes (12 hours)
720 ÷ 135 = 5.33333
5.3333 estimated to nearest whole number = 5