Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.
So, from the problem, if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.
[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]
Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.
[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]
So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.
[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]
So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome
WILL MARK BRAINILEST
Find the missing angle:
Answer:
The missing number i think is 85
Step-by-step explanation:
I think it is 85 because 100 - 75 is 25 so i subtracted 110 by 25 and got 85
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Determine the slope of the line passing through the points (3, 6) and ( – 3, – 6).
Answer:
idk lol
Step-by-step explanation:
dsdasdasadsadasdsd
if you could explain and answer I’d appreciate
Answer:
-10
Step-by-step explanation:
5 is lower than 15 so the answer must be negative
if 15 minus 5 is 10
then 5 minus 15 has to be 10
Ellis has 29 nickels, 45 dimes, 14 quarters, and 18 fifty-cent piece. How much money does he have
Answer:
$18.45
Step-by-step explanation:
1.45 in nickels
4.5 in dimes
3.5 in quarters
9 in fifty cent piece
now you add them
1.45+4.5+3.5+9=
Answer:
$18.45
Step-by-step explanation:
145 + 450 + 350 + 900 =
1.45 + 4.50 + 3.50 + 9 = 18.45
What are the coordinates of the Vertex of the parabola whose equation is y=x^2-2x-4?
Answer:
(1, -5)
Step-by-step explanation:
The ratio of the volumes of two spheres is 64/125 what is the ratio of their sides?
Answer:
12:25
Step-by-step explanation:
Write the polynomial in standard form.
6 + 2x2
Answer:
[tex]2*x^{2} +6\\[/tex]
Step-by-step explanation:
i think it will be [tex]2*x^{2} +6\\[/tex] ..
Look at the attached picture
Hope it will help you
f(x) = x2 – 8x – 9 , what is the vertex of this function?
Answer:
Vertex: (4;-25)
Step-by-step explanation:
I know because I answered it already
2(4x + 5) = 8
What’s x?
Answer:
x= -1/4
Step-by-step explanation:
2(4x + 5) = 8
8x+10=8
8x=8-10
8x=-2
x=-2/8
x=-1/4
Answer:
it could be .25
Step-by-step explanation:
distribute 2 to 4x +5
8x + 10 = 8
- 10 - 10
8x = - 2
divide by 8
x = .25 or 1/4
The area of the triangle below is 6.63 square centimeters. What is the length of the
base?
Answer:
(13.26/h) cm = base
Step-by-step explanation:
Formula for area of triangle
= 1/2* base*height
Base = b
Height = h
And the area = 6.63 square centimeters
Area = 6.63cm²
6.63cm²= (1/2)*b*h
6.63*2= bh
13.26= bh
13.26/h = b
(13.26/h) cm = base
12 kids brought gifts to the party. This was 60% of the kids who attended the party. What equation can be used to find the number of kids who attended the party?
Answer:
Number of kids who attended the party = 12 / 0.60
Step-by-step explanation:
60% = 12
[tex]x[/tex] x 0.60 = 12
Number of kids attending = [tex]x[/tex] = 12 / 0.60
Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 millimiters of solution.
How many millimiters of alcohol are in the solution?
Answer:
350 ml
Work Shown to complete problem:
Use a calculator, or use Siri :)
Help please!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=6.
What is the value of the trigonometric ratio of an angle of the triangle?
Answer:
I. sec G = 4/3
II. cot G = (3√7)/7
III. sin E = ¾
Step-by-step explanation:
Given
Right angled triangle
EG = 8
FG = 6
Required
sec G
cot G
sin E
First, the length of the three sides of the triangle must be completed.
From the attachment below, we can deduce that (by using Pythagoras theorem)
Hyp² = Adj² + Opp²
EG² = FG² + EF²
Substitute EG = 8 and FG = 6
8² = 6² + EF²
64 = 36 + EF²
Collect like terms
EF² = 64 - 36
EF² = 28
Take square root of both sides
√EF² = √28
EF = √28
EF = √(4 * 7)
EF = √4 * √7
EF = 2 * √7
EF = 2√7.
Now, the trigonometric functions can be solved.
i. sec G.
sec is the reciprocal of cos .
So, we need to solve first for cos G
cos G = Adj/Hyp
Here, adj = 6 and hyp = 8
So,
cos G = 6/8
cos G = ¾
So,
sec G = 1/(¾)
sec G = 4/3
ii. cot G
cot is the reciprocal of tan
So, we need to solve first for tan G
tan G = Opp/Adj
Here, adj = 6 and opp = 2√7
So,
tan G = 2√7/6
tan G = √7/3
So,
cot G = 1/(√7/3)
cot G = 3/√7
Rationalise
cot G = 3/√7 * √7/√7
cot G = (3√7)/7
iii. sin E
sin E = Opp/Hyp
Here, Opp = 6
Hyp = 8
So,
sin E = 6/8
sin E = ¾
can someone please help me
Answer:
Below in bold.
Step-by-step explanation:
If I have interpreted the question correctly it is:
3*3*3*3 *x*x*x*x = 34
81 x^4 = 34
x^4 = 34/81
x = +/- (⁴√34) / 3 is the exact answer , or:
x = +/- 0.805 to nearest thousandth.
A circle of red roses is planted in Lowell's central park. The circle has a radius of 1 meter.
What is the circle's circumference?
Use 3.14 for .
Answer:
The circle's circumference is 6.28 m.
Step-by-step explanation:
We have,
The circle has a radius of 1 meter.
It is required to find the circumference of the circle. The formula of the circumference of circle is given by :
[tex]C=2\pi r[/tex]
r is radius
[tex]C=2\times 3.14\times 1\\\\C=6.28\ m[/tex]
So, the circle's circumference is 6.28 m.
Consider the function p(t) shown, state the intervals on which the function is increasing.
A)
t < 1 and 3 < t < 4
C)
1 < t < 3 and t > 4
B)
t < 1 and 3 < t < 5
D)
0 < t < 2 and t > 5
Answer:
1 < t < 3 and t > 4
Step-by-step explanation:
The function begins increasing at t = 1 and stops increasing at t = 3. It begins increasing atgain at t = 4.
In interval notion: that'd be 1 < t < 3 and t > 4
Answer:
C if your doing prep
Step-by-step explanation:
math
Given the system of inequalities: 4x – 5y < 1 One-halfy – x < 3 Which shows the given inequalities in slope-intercept form? y < Four-fifthsx – One-fifth y < 2x + 6 y > Four-fifthsx – One-fifths y < 2x + 6 y > Negative four-fifthsx + One-fifth y > 2x + 6
Answer:
B.)
y ≥ 4/5x- 1/5
y ≤ 2x + 6
Answer:
if yall are looking for the answer for the graphs is it graph A
Step-by-step explanation:
Decide if the relationship described by the table of values is a function or not.
Answer:
Yes
Step-by-step explanation:
A function is a function when each domain is paired with exactly 1 range. So, this also means that there can't be a domain with more than 1 of the same number. Meaning 2 3's or 4 2's.
The expression x2 – 10x + 24 is equivalent to
Answer:
(x-6) (x-4)
Step-by-step explanation:
Its a quadratic equation, You need to find the values that multiply to get 24 and that add to -10. In this case, its (x-6) (x-4). You can check this by using foil.
The given expression should be equivalent to the (x - 6) and (x - 4)
Calculation of the expression:Since the equation is
[tex]x^2 -10x + 24\\\\x^2 - 6x - 4x + 24\\\\[/tex]
x (x - 6) - 4(x - 6)
(x - 4) (x - 6)
Therefore, we can conclude that The given expression should be equivalent to the (x - 6) and (x - 4)
Learn more about expression here: https://brainly.com/question/1673286
I need help on this math question :,D (data table)
Answer:
d=8c
Step-by-step explanation:
Which of the following ordered pairs is a solution of the function ƒ(x) = 3x – 1? Question 10 options: A) (–1, 4) B) (–1, –3) C) (–1, –4) D) (–1, 2)
Answer:
C) (-1,-4)
Step-by-step explanation:
f((x) = 3x -1
Substitute x = 0 (f (x) = 0)
0 = 3x-1
Move the variable to the left:
-3x = -1
Divides both sides by -3
X = 1/3
3.
(07.02 LC)
How many solutions does the equation - 2y + 2y + 3 = 3 have? (1 point)
One
None
Infinitely many
Three
Answer:
Step-by-step explanation:
One
John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip? PLEASE ANSWER ASAP!! Thanks!
Answer:
48 mph
Step-by-step explanation: Add 42mph and 54 mph and you get 96. To find the average of the two --- divide 96 by 2 and you get 48mph as the average speed for the entire trip.
A force of F = 1.12 × [tex]10^{4}[/tex] Newtons does work of W = 1.18 × [tex]10^{6}[/tex] joules. What is the approximate displacement in meters (Displacement = Work ÷ Force)?
A. 230 m
B. 132 m
C.105 m
D. 95 m
Answer:
[tex]105m[/tex]
Answer C is correct
Step-by-step explanation:
[tex]d = \frac{w}{f} \\ = \frac{1.18 \times {10}^{6} }{1.12 \times {10}^{4} } \\ = 1.05 \times {10}^{6 - 4} \\ = 1.05 \times {10}^{2} \\ = 105m[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 105m
please see the attached picture for full solution
Hope it helps
A Runner ran 1 4/5 miles on Monday and 6 3/10 on Tuesday. How many times her Monday’s distance was her tuesdays distance?
Can anyone help me with this please?
Answer:
3
Step-by-step explanation:
Answer:
3 1/2 or 3.5
Step-by-step explanation:
We have to divide to see how many times her monday's distance was her tuesdays distance.
[tex]6\frac{3}{10}\div \:1\frac{4}{5}[/tex]
[tex]=\frac{63}{10}\div \frac{9}{5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{63}{10}\times \frac{5}{9}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{63\times \:5}{10\times \:9}[/tex]
[tex]=\frac{315}{10\times \:9}[/tex]
[tex]=\frac{315}{90}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:45[/tex]
[tex]=\frac{7}{2}[/tex]
[tex]=3\frac{1}{2}[/tex]
we can also be 3.5 in decimal form
HELP! Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
(see picture)
Answer:
6
Step-by-step explanation:
find the quotient 2/3 divided by 4/5
Answer:
(2/3)/(4/5)=5/6
Step-by-step explanation:
Sam is riding his bicycle. He rides for 11.2 kilometers at a speed of 7 kilometers per hour. For how many hours does he ride?
Answer:
1.6 hours
Step-by-step explanation:
you divide 11.2 by 7
hope this is correct
Sam rides his bicycle for 1.6 hours.
Here is the solution:
Time = Distance / Speed
Time = 11.2 km / 7 km/hour
Time = 11200 m / 7000 m/hour
Time = 1.6 hours
Therefore, Sam rides for 1.6 hours.
Learn more about rides here: brainly.com/question /14618195
#SPJ2
I need quick help with #7 for geometry
3rd one Beacuse you have to multiply hshshshshshshehhshenshehehehehehej
which sign makes the statement true? pls help!
The correct symbol for the inequality is,
⇒ 59/81 > 23/56
We have to given that,
An expression is,
⇒ 59/81 Ο 23/56
Now, We can simplify as,
⇒ 59/81 = 0.73
⇒ 23/56 = 0.46
Hence, We get;
⇒ 0.73 > 0.46
⇒ 59/81 > 23/56
Thus, The correct symbol for the inequality is,
⇒ 59/81 > 23/56
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ2