Answer:
12\sqrt{2}
Step-by-step explanation:
To get the hypotenuse, first we need to get the side length of the square
Area of the square = L²
16\sqrt{3} = L²
L = 4×3
L = 12
Using pythagiras theorem to get the hypotenuse
Hyp² = 12²+12²
Hyp² = 144+144
Hyp² = 288
Hyp = \sqrt {288}
Hyp = 12\sqrt{2}
Hence the hypotenuse of the square is 12\sqrt{2}
which set of values could be the side lengths of a 30-60-90 triangle
Answer:
D. 6, 6[tex]\sqrt{3}[/tex], 12
Step-by-step explanation:
the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]
so,
[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]
A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
[tex]P=1259.26N/m^2[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]F=68N[/tex]
Area [tex]A=540cm^2=0.054m^2[/tex]
Generally the equation for Pressure is mathematically given by
[tex]P=\frac{F}{A}[/tex]
[tex]P=\frac{68}{0.054}[/tex]
[tex]P=1259.26N/m^2[/tex]
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
explicit formula for an the nth term of the sequence 38,48,58
Answer:
10n + 28
Step-by-step explanation:
a + d (n-1)
a = 38
d = 10
38 + 10 (n-1)
38 + 10n -10
10n +38 - 10
10n + 28
Hope this helps!
b) Write down the formula to find the perimeter of a circle.
Answer:
C = 2πr
Step-by-step explanation:
We know that, the perimeter of a figure is equal to the sum of all sides.
A circle having no sides.
The perimeter of a circle = The circumference of the circle
The formula for the circumference of the circle is given by :
C = 2πr
Where
r is the radius of the circle
Hence, this is the required solution.
URGENT! What are the residuals for the scatter plot. Thank you!
Answer:
demos & mathaway
Step-by-step explanation:
I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.
Find the measurement of the missing side in each right triangle.
Answer:
12
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
in this case its
[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]
25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides
[tex]b^{2}[/tex] = 144 take square root of each side
b = 12
Answer:
[tex]12[/tex]
Step-by-step explanation:
----------------------------------------
In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]
So,
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
--------------------
Hope this helps.
If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?
Answer:
the value of increase each time is 1,571.43
Step-by-step explanation:
Given;
original value of the number, A = 1000
final value of the number, N = 12,000
Assuming the number increased equally each time, let the value of increase each time = x
The following linear equation will be obtained to solve for x;
7x + 1000 = 12,000
7x = 12,000 - 1,000
7x = 11,000
x = 11,000/7
x = 1,571.43
Therefore, the value of increase each time is 1,571.43
Simplify:9-1÷2÷27^2÷3
First let's calculate the exponents.
[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]
Now we should multiply and divide.
[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]
Now we should add and subtract.
[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]
Convert the improper fractions into mixed numbers.
[tex]8\frac{4373}{4374}[/tex]
Answer :
[tex]8\frac{4373}{4374}[/tex]
How many situations are there to the systems of equations graphed below if the lines are uuu parallel?
Answer:
2
Step-by-step explanation:
Yes the parallel line segment to eat the answer
Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
2012 km squared
Step-by-step explanation:
2600(.95)^5
if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent
uh sorry if that doesn't make a lot of sense
Heeeelp please I'm desperate
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
Write an equation of the line that passes through the points (2, -3) and (1,4).
Write an equation of a line in slope-intercept form with a slope of -12 and a y-intercept of 3.
a
y = 3x - 12
y = -12(3)+b
Ob
Ос
3= -12x + b
Od
y=-12x + 3
Answer:
y = -12x + 3
Step-by-step explanation:
The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:
y = mx + b
y = -12x + 3
gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.
Answer:
8 1/4 hoursStep-by-step explanation:
Total hours:
3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hours Two angle in a triangle equal 120°. What is the measure of the third angle?
a) 60°
b) 70°
c) 80°
d) 90°
e) 120°
Answer:
a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180
i need help u guysss
Answer:
Step-by-step explanation:
3 = 1(1 + x)^4
let q = 1 + x
3 = q^4
ln(3) = 4 ln(q)
ln(3)/4 = ln(q)
.274 = ln(q)
q = e^.274 = 1.316
x = .316
Future amount = 48(1+.316)^4
Future amount = 143.96
please help soon, i can't seem to figure this one out!!
Consider the following equation. -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
A. x = 3/4
B. x = 13/16
C. x = 7/8
D. x = 15/16
The required solution after three successive iterations is near x = 7/8. Option c is correct.
Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.
The equation is the values of two expressions that are equal.
Here,
[tex]-2x + 6 = -(2/3)^x + 5[/tex]
Arranging the equation
[tex]-2x + 6 +(2/3)^x - 5 = 0\\(2/3)^x-2x+1=0[/tex]
Since the solution of the equation is when f(x) = 0 at near to x = 0.8
[tex]f(x) = (2/3)^x-2x+1\\[/tex]
First iteration at x =0.8
[tex]f(0.8) = (2/3)^x-2x+1\\ = (2/3)^{0.8}-2*0.8+1\\ = 0.123[/tex]
It will go up more to get exact zero, so
Second iteration at x = 0.9
[tex]f(0.9) = (2/3)^{0.9}-2*0.9+1\\f(0.9) = -0.106[/tex]
It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87
[tex]f(0.87) = (2/3)^{0.87}-2*0.87+1\\f(0.87) = -0.037[/tex]
Here , solution is much near to x = 0.87 or x =7/8.
Thus, the required solution after three successive iterations is near x = 7/8.
Learn more about the equation here:
https://brainly.com/question/10413253
#SPJ5
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
Which radical expressions are equivalent to the exponential expression
below? Check all that apply.
Step-by-step explanation:
:)
Hola bro espero y te sirva
6th grade math help me please
Answer: £1.18
Step-by-step explanation: 9.44/8 = 1.18
Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a triangle, quadrilateral, pentagon. Extend each side, then measure the exterior angles from there. Finally, find the sum of measures of all exterior angles of each polygon.]
basically get a shape
eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)
now that we have the angles,, extend each side with a line to show the exterior angles.
we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle
you would use:
[ 180- internal angle]
do this for all external angles
add all your answers together,, should equal to 180
What is the measure of an angle if it is fourteen times its own complement?
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
What are the x- and y- intercepts for the graph of 5x-2y= 20
Answer:
x intercept: 4 y intercept: -10
Step-by-step explanation:
Use desmos graphing calculator :)
Help plsssssssssssss
Answer:
1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5
Step-by-step explanation:
yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6
Two angles are complementary. One angle is
fifteen more than twice the other angle.
What is the measure of each angle?
Step-by-step explanation:
Hey there!
Let "x°" be the first angle.
According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }
Also, we know that complementary angles sum is 90°.
Then;
x° + 2x° + 15° = 90°
3x ° = 90°-15°
3x = 75°
x = 75°/3
Therefore, the angles are 25° and 65°.
Hope it helps!
If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?
Answer:
180
Step-by-step explanation:
it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....
Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
if the pressure is 50 Pa and the mass of the object is 50 kg ,what is the surface area of the object?
Answer:
9.81m^2
Step-by-step explanation:
Given data
Pressure P= 50Pa
Mass M= 50kg
Weight= Mg= 50*9.81= 490.5N
Hence Force= 490.5N
We know that Pressure= Force/Area
Substitute
50= 490.5/Area
Area= 490.5/50
Area= 9.81 m^2
Hence the area is 9.81m^2
