Answers
Answer:
[tex]a \: and \: b = \frac{5}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{5} \\ \frac{1}{ \sqrt{2} } = \frac{a}{5} \\ a = \frac{5}{ \sqrt{2} } \\ \\ \\ \\ \sin(45) = \frac{b}{5} \\ b = \frac{5}{ \sqrt{2} } [/tex]
I hope I helped you^_^
Related Questions
choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2
Answers
-4 = 1/2(1) + b
b = 9/2
Therefore, the equation of the line is:
y = 1/2x + 9/2
please answer this!!
Answers
Answer:
You can not solve it because Side P does not exist
Step-by-step explanation:
fine the area ABC triangle
Answers
Answer:
48 cm²
Step-by-step explanation:
A(Triangle) = 1/2bh
b = baseh = heightA(Triangle) = 1/2(12)(8) = 48 cm²
Answer:
area of triangle = 1/2 * b* h
=1/2 ×12 ×8
=48 cm^2
1+-2/3--m where m=9/2
Answers
Answer:
-25/9
Step-by-step explanation:
1 + (-2/3) - m
Plug in:
1 + (-2/3) - 9/2
1 + 2/3 - 9/2
1/3 - 9/2
-25/9
Hope this helped.
Answer:
4 5/6
Step-by-step explanation:
1+-2/3--m
Subtracting a negative is like adding
1-2/3 +m
1/3+m
m = 9/2
1/3 +9/2
Get a common denominator of 6
1/3 *2/2 +9/2*3/3
2/6 + 27/6
29/6
Changing to a mixed number
4 5/6
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answers
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55Write each decimal as a fraction or mixed number in simplest form -0.4
Answers
Answer:
-2/5
Step-by-step explanation:
What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13
Answers
Answer:
The answer is D
Step-by-step explanation:
use the quadratic formula, plug and chug, and voila!
A tree's height increase by 15%. If a tree is 23 feet high, how tall will it be in one year ?
Answers
Increased height:-
[tex]\\ \sf\longmapsto 23\times 15\%[/tex]
[tex]\\ \sf\longmapsto 23\times \dfrac{15}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{345}{100}[/tex]
[tex]\\ \sf\longmapsto 3.45[/tex]
Now current height:-
[tex]\\ \sf\longmapsto 23+3.45=26.45ft[/tex]
Can someone helpp pls
Answers
Answer:
Step-by-step explanation:
You have to solve this as a system. We have 3 coordinates given; the first 2 are given as zeros of the quadratic, the 3rd one is given as a regular coordinate. The zeros of a quadratic are where the y values of a coordinate are 0's because the x-intercepts of a quadratic (aka zeros) exist where y = 0. We use each of those points in the standard form of a quadratic to solve for a, b, and c. First, (0, 0):
[tex]0 = a(0)^2+b(0)+c[/tex] which gives us that c = 0. We'll use that value of c as we move forward with the problem. Next we'll use (3, 0):
[tex]0=a(3)^2+b(3)+0\\0 =9a+3b[/tex]Hold that thought for a minute or 2. Next we'll use the coordinate (1, 6):
[tex]6=a(1)^2+b(1)+0\\\\6=a+b[/tex] Now we have a system that we can solve using either substitution or elimination for a and b. I used elimination:
6 = a + b
0 = 9a + 3b and multiply the top equation by -3:
-18 = -3a - 3b
0 = 9a + 3b
so
-18 = 6a and
a = -3. Now back solve for b:
6 = -3 + b so
b = 9 and our quadratic is
[tex]y=-3x^2+9x+0[/tex] or just
[tex]y=-3x^2+9x[/tex]
Value of the boat after 3 years?
Answers
after each year it's 83% of it's value from last year (100%-17%=83%)
the function in 19000 * (0.83) ^x
3 will be filled in for x
19000 * (0.83) ^3= 10863.953
$10863.95
Answer:
$10,863.95
Step-by-step explanation:
y = 19,000[tex](.83)^{t}[/tex]
y = 19,000[tex](.83)^{3}[/tex]
y =$10,863.95
factorize. xy^2-y(x-z) -z
Answers
Answer:
The equation x The equation x 2The equation x 2 +xy+xz+yz can be factorised as follows:The equation x 2 +xy+xz+yz can be factorised as follows:x The equation x 2 +xy+xz+yz can be factorised as follows:x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2 +xy+xz+yz=(x+z)(x+y)Answer:
= (y-1) (xy-z)
Step-by-step explanation:
First we expand them -
= xy^2 - xy - yz - z
= xy(y-1)-z(y-1)
= (y-1) (xy-z)
Hope this helped
Find the smallest natural number that has a remainder 3 when divided by 5, a remainder 5 when divided by 7, and a remainder 8 when divided by 10.
Answers
Answer:
68
Step-by-step explanation:
"a remainder 3 when divided by 5": The number must be 3 more than a multiple of 5.
"a remainder 5 when divided by 7": The number must be 5 more than a multiple of 7.
"a remainder 8 when divided by 10": The number must be 8 more than a multiple of 10.
List some number that are 8 more than a multiple of 10:
18, 28, 38, 48, 58, 68, 78, 88, 98
List some number that are 5 more than a multiple of 7:
12, 19, 26, 33, 40, 47, 54, 61, 68, 75
We see 68 as a the lowest common multiple.
68/5 = 13 remainder 3
Answer: 68
What is an equation of the line that passes through the points (-6, -8) and (-3,-3)?
Answers
Answer:
y = 5/3x+2
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 - -8)/( -3 - -6)
= ( -3+8) / (-3+6)
= 5/3
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
Substituting the point (-3,-3)
-3 = 5/3(-3) + b
-3 = -5+b
-3+5 = b
2 = b
y = 5/3x+2
Given points
(-6,-8)(-3,-3)First find the slope
[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]
Now
[tex]\boxed{\sf y=mx+b}[/tex]
[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]
[tex]\\ \sf\longmapsto b=2[/tex]
Hence the equation will be
[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]
A pattern for a skirt calls for 1 7/8 yd of fabric. If Mary
Kate wants to make one skirt for herself and one for her
twin, how much fabric will she need?
Answers
Answer:
Mary Kate will need 3 6/8 yd of fabric.
Step-by-step explanation:
If Mary wants to make one skirt for herself AND her twin, that is equal to 2 skirts.
So if one skirt calls for 1 7/8 yd of fabric, multiply it by 2:
1 7/8 x 2
Convert 1 7/8 to an improper fraction and add 1 as a denominator for 2:
15/8 x 2/1 = 30/8
30/8 simplified is 3 6/8
Brainliest please?
inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.
Answers
Answer:
General Equation of a Line
[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]
Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y
someone answer fast with a model: Kevin spends $11.25 on lunch every week during the school year.If there are 35.5 weeks during the school year how much dies Kevin spend on lunch over the entire school year? Remember to round to the nearest penny
Answers
Answer:
$399.45
Step-by-step explanation:
all you gotta do is
11.25×35.5
First, you multiply. You get $399.375. when you round it to the nearest penny, look behind the decimal, see if it's going down to 0, or going higher than 5, then round. the overall answer is going to be..............$399 and 40 cents.
HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
Thank you!!
Answers
Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16
May somebody help with this and show how you solved these 4 problems??
Answers
Answer:
x=27
y=25
c=12
n=70
Step-by-step explanation:
a- x-10=17
isolate the x by adding 10 to both sides
x=27
b- y+7=32
isolate the y by subtracting 7 from both sides
y=25
c- 4c=48
isolate c by dividing both sides by 4
c=12
d- n/5=14
isolate the n by multiplying both sides by 5
n=70
Answer:
a) [tex]x-10=17[/tex]
Add 10 to both sides:-
[tex]x-10+10=17+10[/tex][tex]x=27[/tex]----------
b) [tex]y+7=32[/tex]
Subtract 7 from both sides
[tex]y+7-7=32-7[/tex][tex]y=25[/tex]------------
c) [tex]4c=48[/tex]
Divide both sides by 4
[tex]\frac{4c}{4}=\frac{48}{4}[/tex][tex]c=12[/tex]------------
d) [tex]\frac{n}{5}=14[/tex]
Multiply both sides by 5
[tex]\frac{5n}{5}=14\cdot \:5[/tex][tex]n=70[/tex]OAmalOHopeO
Y+y+y+y rewrite in multiplication
Answers
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
13. A map has a scale of 2 cm to 3 km.
(iii) If the actual area of a lake is 81 km?, calculate
its area on the map.
Answers
Scale = 1cm:3km
Therefore area of lake = 81Km
1:3 = x:81
= 27:81
Therefore the area on map is 27cm
Must click thanks and mark brainliest
Answer:
121.5 is answer.
Step-by-step explanation:
81 / 2 = 40.540.5 *3 = 121.5Diana and Dulce were selling tickets for their upcoming
softball game. Dulce sold 20% more than Diana. If they
sold 55 tickets total, how many tickets did each of them
sell?
Answers
Answer:
Diana sold 25 tickets and Dulce sold 30 tickets
Step-by-step explanation:
Let us assume that Diana sold x number of tickets, dulce sold 20% more x or 1.2x. ATQ, x+1.2x=55. x=25. So Diana sold 25 tickets and Dulce sold 30 tickets
the quotient of a number and -9 is increased by 10 the result is 11 what is the number?
Answers
Answer:
so the division of a number and -9 or
x/-9+10=11 or
(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9
raise s to the 7th power, then find the sum of the result and 3
Answers
Answer:
s^7 + 3
Step-by-step explanation:
Brainliest, please!
Choose the model that correctly illustrates the division problem 2 3 ÷ 3 4 3 2 ÷ 4 3 .
Answers
23÷34÷32÷43
= 0.0001558519
Must click thanks and mark brainliest
the perimeter of a city rectangular park is 1428 feet. the length is 78 feet more than twice the width. Find the length and width of the park
Answers
Width = 212 ft
Step-by-step explanation:
Recall the formula for the perimeter of a rectangle of length "L" and width "W":
Perimeter = 2 L + 2 W = 1428 ft
Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:
L = 2 W +78
so, 2 W = L -7 8
and now replace "2 W" with it equivalent "L - 78" in the first perimeter equation and solve for "L":
2 L + L - 78 = 1428
3 L = 1428 + 78
3 L = 1506
L = 1506/3
L = 502 ft
Then the width W can be obtained via:
2 W = L - 78
2 w = 502 -78
2 W = 424
w = 212 ft
Solve for p.
–
19p–2p+16p+12=
–
18
p=
Answers
Answer:
6
BRAINLIEST, PLEASE!
Step-by-step explanation:
-19p - 2p + 16p + 12 = -18
-5p + 12 = -18
-5p = -30
p = 6
Answer:
p = 6
Step-by-step explanation:
Given
- 19p - 2p + 16p + 12 = - 18 ( simplify left side )
- 5p + 12 = - 18 ( subtract 12 from both sides )
- 5p = - 30 ( divide both sides by - 5 )
p = 6
Please help I was asigned this for how and I am stuck
Answers
Answer:
-0.555
Step-by-step explanation:
-2/3÷12
=-2/3÷12×3/1×3
=-2/3÷36/3
=-2/3×3/36
=-2/36
=-0.0555
I got this answer but don't know how did you got -8?!
Solve for a. HELPPppppppppppppppp
Answers
Answer:
a = -24
Step-by-step explanation:
[tex]30=26-\frac{a}{6}\\(6)4=-\frac{a}{6}(6)\\24=-a\\-24=a[/tex]
Answer:
-24 = a
Step-by-step explanation:
30 - 26 - a/6
Subtract 26 from each side
30 -26 = 26 - a/6 - 26
4 = -a/6
Multiply by -6 on each side
-6 *4 = -a/6 *-6
-24 = a
Lydia Gomez has $185 deducted from her semimonthly pay for her group health insurance. Her employer
pays 65% of the cost. What is the annual premium amount for Lydia's group health insurance?
Answers
? = 135
Cross multiply
8775 divided by 35 = 250.72 ( this is what her employer pays )
She pays $135 . If we add $250.72 + $ 135 = $385.72
. That means every 2 months =$385.72
But they asked for annual
So,
385.72 x 6 = $ 2,314.32 for her premium group health insurance
Answer:
$12,685.71
Step-by-step explanation:
35% is what she pays
Semimonthly is 24 because monthly is 12
0.35a
--------- = 185
24
Multiply both sides by 24
0.35a=4,440
divide by 0.35
a=$12,685.71
