Answer:
1). 15.62 cm
2). 29.68 ft
Step-by-step explanation:
1). By applying Pythagoras theorem in the given triangle,
c² = a² + b²
c = Hypotenuse
a = leg 1
b = leg 2
c² = 10² + 12²
c² = 100 + 144
c = √244
c = 15.62 cm
2). Length of missing leg will be,
c² = 16² + 25²
c² = 256 + 625
c = √(881)
c = 29.68 ft
Answer:
16^2+25^2=881 so the answer is 881 i think?
Step-by-step explanation:
You borrow money for 4 years. The total amount you repay is $7,840, which includes $840 in simple interest. How much was the principal?
Answer:
$7,000
Step-by-step explanation:
$7,840 - $840 to get the principal value
$7000
Answer:
7000
Step-by-step explanation:
the repay amount - interest = principal
7840 - 840 = 7000
Solid A has a volume of 54 ft³. The scale factor of A to B is 2:3. What is the volume of Solid B?
Volume of Solid B = ____________ ft³ (Give exact answer)
Answer:
Solid B = 81 ft³
Step-by-step explanation:
Given the following data;
Solid A = 54 ft³
Ratio of A:B = 2:3 = 2 + 3 = 5
To find the volume of solid B;
First of all, we would find the total volume.
Let the total volume be x.
2/5 * x = 54
2x = 54 * 5
2x = 270
x = 270/2
x = 135 ft³
Next, we find the volume of solid B;
Solid B = 3/5 * 135
Solid B = 405/5
Solid B = 81 ft³
Therefore, 54:81 = 2:3
solve these equations show solutions on a number line.
|x+8|=x+8
9514 1404 393
Answer:
x ≥ -8
Step-by-step explanation:
The absolute value does nothing when its argument is non-negative.
x +8 ≥ 0
x ≥ -8 . . . . . . . subtract 8 from both sides
The perimeter of a rectangle is 62.the length is 5 less than 3times the width. Find the width and the length
Answer:
length = 22, width = 9
step by step explanation :
perimeter = 62
length = 3×width -5
∴ 2 ( length + width ) = perimeter
2 ( 3w-5 + w ) = 62
3w -5 + w = 62/2 = 31
3w -5 + w = 31
4w = 31 + 5 = 36
4w = 36
w =36/4
w = 9
l= 3w-5 = (3×9)-5 = 27-5= 22
verifying -
2( l + b) = perimeter
2 ( 22 + 9 ) = 2 * 31 = 62
hope this answer helps you....
Please help! I'm giving branniest for the correct answer! (SHOW WORK)
Answer:
102
Step-by-step explanation:
it's a parallelogram so it's BxH
A = 15x8 = 120
inside rectangle A is LxW
6x3 = 18
subtract the inside from the outside
120-18 = 102
please help me i have the pic below: find the 27th term given the function an=-10+(n-1)(-2)
Answer:
-62
Step-by-step explanation:
Plug 27 into the equation
a27=-10+(27-1)(-2)
27-1=26
26 times -2 = -52
-52-10=-62
So
a_27
-10-2(26)-10-52-62Option D
Solve these equations.
Answer:
no solution
Step-by-step explanation:
|x-33| = -33
An absolute value must be greater than or equal to zero
The right hand side is a negative number.
There is no solution
Answer:
No solution
Step-by-step explanation:
When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution
The length of a rectangle is (2x-3) and the width is (x+6) which of the following is a representation of area
Answer:
(2x+3)(x+6) or 2x^2 + 15x + 18
Step-by-step explanation:
Area = Length x Width
Length = (2x-3)
Width = (x+6)
(2x-3)(x+6)
2x^2 + 12x - 3x - 18
2x^2 + 15x + 18
Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18
You are designing the garden of your dream and you are going to start with a blank canvas. That means killing everything before putting down new plants. To do this, you are going to use herbicide to kill the overgrown weed. You have a lot of land that measures 22.5 yard by 20.4 yard. Each bottle of herbicide holds 12 fluid oz (fl oz). The instruction says to mix 1.1 fl oz with 1.0 gallon of water and that will treat an area of 155 ft2. How many bottles of herbicide will you need
Answer:
2.5 bottles or 3 bottles
Step-by-step explanation:
Given that :
Dimension of lot :
22.5 yds by 20.4 yds
Area of lot = 22.5 * 20.4 = 459 yd²
Volume per bottle of herbicide = 12 fl oz
1.1 fl oz combined with water treats an area of 155 ft²
Number of 1.1 fl oz from 12 fl oz that can be obtained : 12 / 1.1 = 10.90
1 yard² = 9 feet²
459 yard² = (459 * 9) = 4131 feet²
Number of 151 feet² that can be obtained from 4131 feet²
4131 feet² / 155 ft²
= 27.3576 times
= 27.3576 / 10.909
= 2.507
This means he'll have to buy a minimum of 3 bottles if a fraction of a bottle can't be purchased.
Which quantity is proportional to 5/25?
Answer:
i think the correct answer is 1/5.
Step-by-step explanation:
hope this answer will help u.
have a great time.
x + 4y = -26 -5x - = -14
Answer:
x=14/5, y=-36/5. (14/5, -36/5).
Step-by-step explanation:
x+4y=-26
-5x=-14
------------
5x=14
x=14/5
14/5+4y=-26
4y=-26-14/5
4y=-130/5-14/5
4y=-144/5
y=(-144/5)/4
y=(-144/5)(1/4)
y=-144/20
simplify
y=-36/5
Find the surface area of a cylinder with radius 2.5 cm and height of 7.3 cm.
Cece is 3 years older than Jess. The sum of their ages is 55 years old. How old are Jess and Cece?
Answer:
Jess is 26, Cece is 29
Step-by-step explanation:
The area of a square field is 14400 sq. metre. Find the length of the side
of the square.
Answer:
side = 120 metre
Step-by-step explanation:
here's your solution
=> Area of square = 14400 sq.metre
=> Area of square = side^2
=> side^2 = 14400 sq.metre
=> side = √14400
=> side = 120 metre
hope it helps
A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?
Answer:
10.47 inches
Step-by-step explanation:
circumference = πD = 3.14(20) = 62.8 inches
62.8 inches/6 spaces = 10.47 inches per space
Help please, i need it asap
Answer:
∠BCA = 59
x = 2
∠B = 83
Step-by-step explanation:
Properties of a parallelogram:
Opposite angles are congruent
Opposite side lengths are congruent
That being said lets find x, ∠B and ∠BCA
First x
Segment AD and segment CD are parallels which are congruent
Knowing that we create an equation
6x = 12
step 1: Divide each side by 6
6x/6=x
12/6=2
we're left with x = 2
For ∠B
∠D and ∠B are opposite angles of a parallelogram
meaning that ∠D≅∠B
So if ∠D=83 then ∠B also = 83
For ∠BCA
∠BCA and ∠DAC happen to be opposite angles ( like stated previously opposite angles are congruent.)
Because ∠DAC = 59 ∠BCA also = 59
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
how to solve
y x 6 for y = 2/3
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 4
Explanation:
2/3 x 6 = 2/3 x 6/1 = 12/3 = 4
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Rewrite the equation by completing the square.
x² +3x -28 = 0
Answer:
x = -7 and x = 4
Step-by-step explanation:
that's the answer
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? O painting preference and total number of students O painting preference and number of students in class 1 O class number and painting preference O class number and number who prefer oil
Answer:
C. class number and painting preference
Step-by-step explanation:
just got done with the quiz
Linear Equation: y = 5x + 5 No links please!
Answer:
5 ,10 , 15 , 20
Step-by-step explanation:
y=5(0)+5
=5
y=5(1)+5
=10
y=5(2)+5
=15
y=5(3)+5
=20
Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?
Answer:
3.25%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
585 = (4000)(r)(4.5)
585 = 18,000r
r = 0.0325
Multiply by 100 to get the percentage
0.0325 = 3.25%
Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.
Answer:
There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students
Step-by-step explanation:
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
Poll oftenly uses sampling.
The data obtained from the poll shows that:
20% of the students prefer the aquarium and 50% of the teachers the
aquarium.
That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.
Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Learn more about sampling here:
https://brainly.com/question/24842573
Lena rode her bicycle on the trail at the state park. She started at the west entrance, followed the path around the lake, and ended at the west entrance.
The map shows the measured distances between the points on the map. What is the total distance that Lena rode in kilometers?
Answer:
total distance =6.5+9.5+4=20cm=20×1.5=30km
Answer:
total distance
6.5+9.5+4-20cm=20x1.5=30km
a
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
Answer:
V=113.1
Step-by-step explanation:
Answer:
113
Step-by-step explanation:
I need an image showing how I got the answer
Answer:
44
Step-by-step explanation:
please help me i can't figure this out
A 6 meters per second
B 5 meters per second
C 4 meters per second
D 7 meters per second
Answer:
B 5 meters per second
Step-by-step explanation:
Pick two points on the graph, and find the slope.
For example, you can use the points
(0, 8500) and (1700, 0)
slope = (difference in y)/(difference in x)
slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5
The slope is negative because the plane was losing altitude as it descended.
It descended at a rate of 5 meters per second.
Answer: B 5 meters per second
Answer:
B. 5 meters per second
Step-by-step explanation:
slope=8500÷1700=5
Plane descended at the rate of 5 meters per second.
hope it helps
have a great day!!
How much of the circle is shaded 1/7 + 1/2
Answer:
The answer would be 0.64285714285
Step-by-step explanation:
You just add both of the fractions you showed above
A stonemason wants to look at the relationship between the density of stones she cuts and the depth to which her abrasive water jet cuts them. The data show a linear pattern with the summary statistics shown below: mean standard deviation x=x=x, equals stone density \left( \dfrac{\text{g}}{\text{cm}^3} \right)( cm 3 g )left parenthesis, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction, right parenthesis \bar{x}=2.5 x ˉ =2.5x, with, \bar, on top, equals, 2, point, 5 s_x=0.3s x =0.3s, start subscript, x, end subscript, equals, 0, point, 3 y=y=y, equals cutting depth (\text{mm})(mm)left parenthesis, start text, m, m, end text, right parenthesis \bar{y}=41.7 y ˉ =41.7y, with, \bar, on top, equals, 41, point, 7 s_y=42s y =42s, start subscript, y, end subscript, equals, 42 r=-0.95r=−0.95r, equals, minus, 0, point, 95 Find the equation of the least-squares regression line for predicting the cutting depth from the density of the stone. Round your entries to the nearest hundredth.
Answer: y=374.2 -133 x
Step-by-step explanation: I just did the khan test
Least-squares regression equation
The equation for the least-squares regression line for predicting yyy from xxx is of the form:
\hat{y}=a+bx
y
^
=a+bxy, with, hat, on top, equals, a, plus, b, x,
where aaa is the yyy-intercept and bbb is the slope.
Hint #22 / 4
Finding the slope
We can determine the slope as follows:
b=r\left(\dfrac{s_y}{s_x}\right)b=r(
s
x
s
y
)b, equals, r, left parenthesis, start fraction, s, start subscript, y, end subscript, divided by, s, start subscript, x, end subscript, end fraction, right parenthesis
In our case,
b=-0.95\left(\dfrac{42}{0.3}\right)=-133b=−0.95(
0.3
42
)=−133b, equals, minus, 0, point, 95, left parenthesis, start fraction, 42, divided by, 0, point, 3, end fraction, right parenthesis, equals, minus, 133
Hint #33 / 4
Finding the yyy-intercept
Because the regression line passes through the point (\bar x, \bar y)(
x
ˉ
,
y
ˉ
)left parenthesis, x, with, \bar, on top, comma, y, with, \bar, on top, right parenthesis, we can find the yyy-intercept as follows:
a=\bar y-b\bar xa=
y
ˉ
−b
x
ˉ
a, equals, y, with, \bar, on top, minus, b, x, with, \bar, on top
In our case,
a=41.7 +133 (2.5)=374.2a=41.7+133(2.5)=374.2
Answer:
374.2 ; 133
Step-by-step explanation:
Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????
Answer:
a- 3/4
b- 1/4
c- 3/16
Step-by-step explanation: