HELPPP PYTHAGOREAN THEOREM
Answer:
60
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+25^2 = 65^2
a^2 +625 = 4225
a^2 = 4225-625
a^2=3600
Taking the square root of each side
sqrt(a^2) = sqrt(3600)
a = 60
Answer:
Step-by-step explanation:
Hypotenuse: 65
Leg: 25
Let Hypotenuse be c, and leg be a
[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]
[tex]a^{2} + 25^{2} = 65^{2}[/tex]
[tex]a^{2} + 625 = 4225\\[/tex]
[tex]a^{2}[/tex] = 4225 - 625
[tex]a^{2}[/tex] = 3600
3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.
a = [tex]\sqrt{3600\\}[/tex]
a = 60
Therefore a is equal to 60 feet
The amount of money Aria has in the bank after T years is determined by the equation A = 1,000 · 1.0512^T. After how many years will Aria have $2,000 in the bank?
(1) 12.9 (2) 13.9
(3) 14.9
(4) 15.9
Answer:
Step-by-step explanation:
You are given most of the equation that you need to solve. To find the number of years it will take to have 2000, sub in 2000 for A and solve:
[tex]2000=1000(1.0512)^t[/tex] and begin by dividing away the 1000 on both sides to get
[tex]2=(1.0512)^t[/tex] now we have to take the natural log of both sides:
[tex]ln(2)=ln(1.0512)^t[/tex]. Taking the natural log allows us to bring the t down out front:
ln(2) = t ln(1.0512) and now divide both sides by ln(1.0512):
[tex]\frac{ln(2)}{ln(1.0512)}=t[/tex] and do this on your calculator to get
t = 13.9 years
Answer:
T = 13.9
Step-by-step explanation:
A = 1,000 · 1.0512^T
Let A = 2000
2000 = 1,000 · 1.0512^T
Divide each side by 1000
2000/1000 = 1,000/1000 · 1.0512^T
2 = 1.0512^T
Take the log of each side
log 2 = log 1.0512^T
We know log a^b = b log a
log 2 = T log 1.0512
Divide each side by log 1.0512
log 2 / log 1.0512 = T
T=13.88172
Rounding to the nearest tenth
T = 13.9
If s = 6 and t = 4, find the value of x.
x = 4 + s - t
Answer:
x = 6
Step-by-step explanation:
s = 6
t = 4
x = 4 + s - t
Substituting s and t in equation,
x = 4 + 6 - 4
x = 6
Answer:
6
Step-by-step explanation:
s=6
t=4
x= 4+6-4
x=10-4
x=6
Therefore; the final result is 6
Anyone wanna help with this please ?
Answer:
y = mx + b
m = slope = -2
To find the y-intercept(b), substitute the points into the function:
-3 = -2(-5) + b
-3 = 10 + b
b = -3 - 10 = -13
Therefore, y = -2x - 13
Answer:
Step-by-step explanation:
A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?
Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct
Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?
Answer: [tex]7.48\ cm[/tex]
Step-by-step explanation:
Given
The equal side of two isosceles triangle are [tex]9\ cm[/tex] long
Base of the triangle is [tex]10\ cm[/tex] long
Median divides the base into two equal halves
from the figure, it can be written
[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]
The length of the segment is [tex]7.48\ cm[/tex]
Someone please help me!!!!!
Answer:
B is going to be half the intercepted arc
<ABC = 80
<CAB = 55
mARC(AB) = 90
mARC(BC) = 110
Step-by-step explanation:
Help anyone can help me do this question,I will mark brainlest.
Answer:
22 mm
Step-by-step explanation:
please answer this!!!!!
Answer: Choice A. 338 meters
Step-by-step explanation:
tan(31°)=203/x
Answer: 338 m
Step-by-step explanation:
Tan 59 = x/203
(1.66)(203)=338m
A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side length of the new square?
Answer:
828
Step-by-step explanation:
Multiple the side length by the dilation
36 x 23 = 828
The function f(c)=95c+32 is used to convert temperatures from Celsius, c, to Fahrenheit, f(c). What is the temperature in Fahrenheit when it is 22° Celsius? Round your answer to the nearest integer. A 40° B 54° C 72° D 97°
C 72°
Answer:
we have
f(c)=9/5C+32
now
22°C to °F
°C=22°
we have
f(c)=9/5C+32
f(c)=9/5*22+32=71.6≈72
answer is
22°C=72°F
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]
Find the value of a. A. 57 B. 104 C. 26 D. 52
Answer:
Option D, 52
Answered by GAUTHMATH
The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?
Answer:
These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly
Step-by-step explanation:
Find the area of the regular polygon. Round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the missing side that is 1/2 the side of the missing heptagon. You have to assume that the figure is a regular heptagon, something you should point out to your teacher. Math really requires well qualified diagrams.
c^2 = a^2 + b^2
c = 2.77
a = 2.5
b = 1/2 the side of the heptagon.
2.77^2 = 2.5^2 + b^2
7.6729 =6.25 + b^2
7.5629 - 6.25 = b^2
b^2 = 1.4229
b = sqrt(1.4229)
b = 1.1928
But the side is twice that long
s = 2.3857
Now draw another line from the side you just found. It will be the same length as 2.77. It's a radius of the circumcircle.
Area of the triangle so formed is
Area = 1/2 * b * h
b = 2.3857
h = 2.5
Area = 1/2 * 2.5 * 2.3857
Area = 2.982
There are 7 such triangles.
Answer: 7 * 2.982
Answer: 20.87
ok so i have this question and it asks
josh has 30 keys and loses three when he bumped into someone then he finds 7 keys how much keys does he have?
Hey there!
At first, Josh has 30 keys.
Then, he loses 3 keys.
30 keys - 3 keys = 27 keys
After that, Josh finds 7 keys.
27 keys + 7 keys = 34 keys
Josh will have a total of 34 keys.
Hope this helps! Have a great day!
is kanye going to drop donda on august 6th?
Answer:
off topic
Step-by-step explanation:
From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made
Answer:
18
Girl = g
Boy = b
1g 1b 1g 2b 1g 3b
2g 1b 2g 2b 2g 3b
3g 1b 3g 2b 3g 3b
4g 1b 4g 2b 4g 3b
5g 1b 5g 2b 5g 3b
6g 1b 6g 2b 6g 3b
---------------------------------------
Another way you can do this,
6 × 3 = 18
In the end there will be 18 selections.
josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425
A. 10 seconds
B. 6.25
C. 400
D. 0 seconds
Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
[tex]y = -4.9x^2 + 32x + 425[/tex]
Differentiating it we get:
[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф[tex]=\tan^{-1}(32)[/tex]
Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
[tex]s=ut+\frac{1}{2} at^{2}[/tex]
[tex]-425=31.98t-16t^2[/tex]
[tex]16t^2-31.98t-425=0[/tex]
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
To know more about equation of motion refer:https://brainly.com/question/24966506
#SPJ2
express the following shaded area using a definite integral. use geometry to calculate the area. please show work too
Answer:
Integrate( sqrt(9-x^2) from x=-3 to x=3)
Step-by-step explanation:
The equation for a full circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and radius is r.
Your center, your (h,k) is (0,0). Your radius, your r, is 3.
So your equation is (x-0)^2+(y-0)^2=3^2 or more simply x^2+y^2=9.
We also must consider we don't have full circle.
Solving for y will give us the circle in terms of top half if we take positive values and bottom half if we take negative values. Since y is positive in the picture, you only see top half, we will only take the positive cases for y.
Subtracting x^2 on both sides gives: y^2=9-x^2
Square root both sides: y= sqrt(9-x^2)
(I did not choose -sqrt(9-x^2) because again y is positive).
So the x's in the picture range from -3 to 3.
The integral is therefore,
Integrate( sqrt(9-x^2) from x=-3 to x=3)
find the trigonometric ratio tan m multiple choice
Answer:
a/b
Step-by-step explanation:
Tan = Opposite/Adjacent
Therefore, Tan M = a/b.
Mrs. Albert has three times as many gladiolas as Mr. Haas. Together they have 128 gladiolas. How many gladiolas does Mrs. Albert have?
Answer:
96
Step-by-step explanation:
Let the gladiolas Mr Haas has be x
We know that Mrs Albert has 3 times as many gladiolas as Mr. Haas, so Mrs Albert has:
3x gladiolas
Together they have 128 gladiolas, so:
x + 3x = 128
4x = 128
x = 128/4
x = 32
Therefore Mr Haas has 32 gladiolas & if Mrs. Albert has 3 times more than him she has (32x3) = 96 gladiolas.
answered by g a u t h m a t h
Find the ordered pair $(s,t)$ that satisfies the system
\begin{align*}
\dfrac{s}{2} + 5t &= 3,\\
3t - 6s &= 9.
\end{align*}
Answer:
[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]
Step-by-step explanation:
The given system of equations is presented as follows;
[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]
3·t - 6·s = 9
Making t the subject of both equations, gives;
In the first equation; t = (3 - s/2)/5
In the second equation; t = (9 + 6·s)/3
Equating both values of t to find the the values that satisfies both equations, gives;
(3 - s/2)/5 = (9 + 6·s)/3
3 × (3 - s/2) = 5 × (9 + 6·s)
9 - (3/2)·s = 45 + 30·s
45 - 9 = (30 + (3/2))·s
36 = (63/2)·s
s = 36/(63/2) = 8/7
t = (3 - s/2)/5
∴ t = (3 - (8/7)/2)/5 = 17/35
Therefore, the ordered pair is (8/7, 17/35)
These circles are:
A. tangent
B. congruent
C. congruent
D. none of these
Answer:
A. tangent
Step-by-step explanation:
Hi there!
Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.
I hope this helps!
8w + 19 - 4w = -5? What is the value of w?
Answer:
4w = -5-19
4w=-24
w=-6
hope that answers your question
good luck
help with this pls geometry!!
Answer:
548
Step-by-step explanation:
First, the sides:
7 × 12 = 84
84 × 2 = 168
7 × 10 = 70
70 × 2 = 140
10 × 12 = 120
120 × 2 = 240
Add:
168 + 140 + 240
^ ^
308 + 240
548
Hope this helped.
Answer:
The surface area of the rectangular prism is 548[tex]ft^{2}[/tex]
Step-by-step explanation:
To find the surface area of the rectangular prism you need to use the formula
A=2(wl+hl+hw)
Answer to question commented:
The surface area of the other rectangular prism is 430[tex]ft^{2}[/tex]
Hope this helps!
I just need the numbers anyone help ?
Answer:
See below & pic.
Step-by-step explanation:
Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.
A grocery store offers 2 free flashlights with any purchase. Rita can spend $100. The number of items that she can buy is given by
y = 100/x +2
where x is the average price per item. Identify the reasonable domain and range values.
D: x < 0
R: natural numbers > 2
D: x < 0
R: natural numbers < 2.
D: x > 0
R: natural numbers > 2
D: x > 0
R: natural numbers < 2
Answer:
The answer is D: x > 0
R: natural numbers > 2
Step-by-step explanation:
I got 100 on the quiz good luck bro
Which statement is true about the given function?
Answer:
it's the 3rd option
Step-by-step explanation:
f(x) 0 over the intervals (–∞ –3)
Hope it's right
can you help me with this please.
Answer:
98 is the answer
Step-by-step explanation:
you add 8 each time
Answer:
a₁₃ = 98
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then
a₁₃ = 2 + (12 × 8) = 2 + 96 = 98
HELP ASAP PLEASEEEEEEEEE
