Answer:
[tex] \sqrt{8} [/tex]
or
[tex]2 \sqrt{2} [/tex]
Step-by-step explanation:
Since the legs are equal this is a 45-45-90 triangle.
The ratio of side length for a 45 45 90 triangle
[tex](1)(1)( \sqrt{2} )[/tex]
where 1 is the legs length and sqr root of 2 is the length of the hypotenuse.
Since we are trying to find the length of the legs side we can set up a proportion.
We know the hypotenuse is 4 so our proportion looks like
[tex] \frac{1}{x} = \frac{1}{x} = \frac{ \sqrt{2} }{4} [/tex]
Let see how far sqr root of 2 goes into 4.
[tex] \sqrt{2} \times x = 4[/tex]
[tex] \sqrt{2} \times x = \sqrt{16} [/tex]
[tex]x = \sqrt{8} [/tex]
so that means the answer for the legs length is
[tex] \sqrt{8} [/tex]
or
[tex]2 \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
hello :
use phtagor - rule: let x the length of each side
x² +x² =4²
2x² =16
x² = 8
x = √8
but : 8 = 4×2 = 2²×2
x = √(2²×2) = √2²× √2 =2√2 ...... √2² =2
x = 2√2 metres.
what is m3 + 9n when m = 4 and n = 5
For the equation: 4x+y=10 what does x equal if y=-6?
Answer:
x = 4
pls mark as brainliest...
Answer:
x=4
Step-by-step explanation:
4x+y=10 then, plug in y
4x+(-6)=10 then, isolate x by adding 6to both sides,
+ 6 +6 then, divide by 4 on each side
4x/4=x
16/4=4
x=4
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
The sale price of an item is Rs 176. If a discount of 20% is allowed on its Marked price, what is the marked price of the item
Answer: $140.80
Step-by-step explanation:
Original price = Rs. 176.
Marked price has discount that is 20% lower than the above.
= 20% * 176
= $35.20
Marked price = Sales price - discount
= 176 - 35.20
= $140.80
How do you find 15% of 160?
Pls help I really need this
Answer: 45 sq ft
Step-by-step explanation:
(9*10)/2 bc its a right triangle
90/2
45
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer: 120cm
Step-by-step explanation:
Gabby's dad drives a dump truck for a construction company. Last week, he came to Gabby's class for Career Day and talked about how math is used in his job. As an example, he told the class the bed of his truck is shaped like a rectangular prism with a volume of 24 cubic meters. The bed is 4 meters long and 2 meters deep.
How wide is the bed of the truck?
PLEASE HELP!!!!!!!!!!
Answer:
3 meters wide
Step-by-step explanation:
if the volume is 24 and the bed is 4 meters long and 2 meters deep, just multiply 4 x 2 =8 then find what number multiplies with 8 to get 24 which is: 3
how to find cp if loss and sp are given
Step-by-step explanation:
[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]
[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ [tex] \text{CP - SP = Loss}[/tex]
Move SP to right hand side and change it's sign :
⟶[tex] \text{CP = Loss + SP}[/tex]
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?
Answer:
Ms. Day bought 5 blankets and 4 pillows.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.
Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.
[tex]16x+10y=120[/tex]
Divide this equation by 2.
[tex]8x+5y=60\,\,...(i)[/tex]
Ms. Day bought 9 items.
[tex]x+y=9[/tex]
Multiply this equation by 5.
[tex]5x+5y=45\,\,...(ii)[/tex]
Subtract [tex](ii)[/tex] from [tex](i)[/tex]
[tex]3x=15\\x=5[/tex]
Put [tex]x=5[/tex] in [tex]x+y=9[/tex]
[tex]5+y=9\\y=9-5\\y=4[/tex]
Therefore,
Ms. Day bought 5 blankets and 4 pillows.
please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.
What is the length of AC?
Answer:
Step-by-step explanation:
AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]
=12
PLSSSSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answers
A.2 bags
B.3 bags
C.4 bags
D.5 bags
Answer:
A. 2 bags
Step-by-step explanation:
12x5=60
60 divided by 2 = 30
30 divided by 15 equals 2 bags
Please tell me if this is correct or incorrect
Hope this helps
Step-by-step explanation:
what are the dimensions of the flower bed
otherwise you can solve it by 151515/area of the flower bed
Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)
Answer:
3(4y + 6)
6(3 + 2y)
2(9+6y)
Step-by-step explanation:
When factored, all of them are equivalent to 12y + 18.
Answer:
6(2 + 3y), 6(3 + 2y), and 3(4y + 6)
Step-by-step explanation:
6(2 + 3y)= 18y+12
2(6 + 9)=30
209 + 6y)= can't factor
6(3 + 2y)= 12y+18
3(4y + 6)=12y+18
hope this helps :)
Escribir un numero entero que represente cada una de las expresiones a. Un globo aerostatico 200 m sobre el nivel del mar. b. 500 años antes de cristo. c. Una deuda de L. 600.00 d. 7 minutos de retraso e. 2 grados bajo cero f. El delfin salto 4 metros sobre el nivel del mar.
Answer:
a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].
Step-by-step explanation:
a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].
b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].
c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].
d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].
e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].
f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].
what is the value of the expression -3y/x
when x = 12 and y=-8
Step-by-step explanation:
here is your answerr.
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Solve. Then, rewrite the complete number sentence in decimal form
Step-by-step explanation:
a)
6.9+1.1= 8
b)
9.9+2.45=12.35
[tex]12 \frac{35}{100} [/tex]
c)
2.4+8.9=11.3
[tex]11 \frac{3}{10} [/tex]
d)
6.37+7.7=14.07
[tex]14 \frac{7}{100} [/tex]
Simplify the expression.
4(5x + 2) + 7x + 6 =
12x + 8
27x + 14
27x + 8
27 + 14x
Answer: =27x+14
Step-by-step explanation: hope this help :)
Let's simplify step-by-step.
4(5x+2)+7x+6
Distribute:
=(4)(5x)+(4)(2)+7x+6
=20x+8+7x+6
Combine Like Terms:
=20x+8+7x+6
=(20x+7x)+(8+6)
=27x+14
Answer:
=27x+14
Y=x^4-4x^3.FInd the value of u when x=-1
What’s the slope and y intercept??
Answer:
The y intercept is (0,0) and the slope is 1
Step-by-step explanation:
Its (0,0) because thats where the line crosses on the y axis. For the slope you do rise over run, you rise once and run once to the next solid point or place.
Refer to the attachment for better understanding
The graph shows depth of water in a tank over time.
Calculate the rate at which the depth is decreasing.
Give your answer as a decimal.
PLEASE HELP ASAP!!!
solve CORRECTLY for brainly and 20 points
Answer:
k/4 + 3 = 14
k = 44
Step-by-step explanation:
Step 1: k + 12 = 56
Step 2: k = 56 - 12
Step 3: k = 44
Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44Answer:
The answer are
t=4
f=4
e=2
k=44
a=-4
n=11
Which expressions are equivalent to 3(6+b)-(2b+1)
Answer:
The answer is b+17
Step-by-step explanation:
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
The first step in solving 3+7(x-5)=2x+16 is to
Multiply out the things in the brackets.
3+7(x+5)=2x+16
3+7x+35=2x+16
Bring the x's over to one side and the numbers to the other side.
7x-2x=16-35-3
5x= -22
Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15
A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.
Answer:
the correct answer is C the system of equations has no solution.
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
help please!!!!!!!!! Which image is a reflection of the black polygon in quadrant I?
On a coordinate plane, the black polygon is reflected across the y-axis to form the red polygon.
the black polygon in quadrant I
the red polygon in quadrant II
the blue polygon in quadrant III
the green polygon in quadrant IV
Answer:
The red polygon
Step-by-step explanation:
Think of the quadrants:
The "top right" one is quadrant I
The "top left" one is quadrant II
The "bottom left" one is quadrant III
The "bottom right" one is quadrant IV
When it says "reflected across y-axis", think of the y-axis as a "mirror"
Since the black polygon is in quadrant I, think of it looking into the mirror, or y axis. It is reflecting into quadrant II.
The red polygon is in quadrant II.
Sorry! I know this is a really weird explanation, but hope it helps!
Answer: The answer is the red polygon in quadrant ll (B)!
- just like the person above
Step-by-step explanation: