Answer:
hope it helps.stay safe healthy and happy...Answer:
[tex]\left(sin\theta -cos\:a\right)\left(cos\:a+sin\theta \right)[/tex]
(sin(θ)-cos(a))(cos(a)+sin(0))
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
a=sin(θ),b=cos(a)
= sin²(θ)-cos²(a)
-------------------------------
hope it helps...
have a great day!!
The present age of Madison's Mother is 3 time that of Madison. After 6 1/4 years, the sum of their age will be 53 3/4 years. Find their present ages. (Estimate to the nearest whole number)
Answer: [tex]10, 31\ \text{years}[/tex]
Step-by-step explanation:
Given
The present age of Madison's Mother is three time that of Madison
Suppose the Present age of Madison is [tex]x[/tex], so age of her mother is [tex]3x[/tex]
After [tex]6\dfrac{1}{4}\ \text{years}[/tex], the sum of their age will be [tex]53\dfrac{3}{4}\ \text{years}[/tex]
[tex]\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10[/tex]
Madison mother's age [tex]3x=30.93\approx 31\ \text{years}[/tex]
help me please and thank youu
Answer:
-3
Step-by-step explanation:
A kindergarten class had a total of 15 boys 9 girls , what is the ratio of girls to boys in that class ?
Answer:
9:15
girls : boys
Step-by-step explanation:
Answer:
9:15
Or 3:5 when reduced
Step-by-step explanation:
The shape on the left is translated to the shape on the right which statement about transformation is true?
Find the value of x for which (4/5)-4 x (4/5)-7 =(4/5)2x-1 Can some1 say this ans fast plz
Answer:
Fraction form: x = -21/4
Decimal Form: x = -5.25
Step-by-step explanation:
See the picture for steps :)
Can someone help me I don't understand
Answer:
Okay,So lines of symmetry are basically how many different ways you can fold that shape without any hanging out etc.
Answer:
There are 3 lines of symmetry
Step-by-step explanation:
The lines of symmetry are
horizontal
vertical.
diagonal
Hope this helped! Please tell me if there is something wrong with my answer.
In this figure, a line through points X and Y will _____
Answer:
D.
Step-by-step explanation:
The line will be a straight line and will go through AB in the center. Therefore, it will be the perpendicular bisector.
Please hurry I will mark you brainliest
Answer:
q = 1/4
Step-by-step explanation:
-5/4 - (-1/4) = -1
-1/(q-1/2) = 4
-1 = 4(q-1/2)
-1 = 4q - 2
1 = 4q
q = 1/4
What is the distance between (1, 9) and (1, -4)? Use the distance formula.
D=(x2-x1)2+(y2-y1)2
Answer:
D. 13
Step-by-step explanation:
You just have to plug in numbers then solve.
(1,9) and (1,-4). Every coordinate is placed as (x,y)
(1,9) is labeled as (x1, y1)
(1,-4) is labeled as (x2,y2)
Now plug in the numbers.
d= Square root of (1-1)^2 + (-4-9)^2
d= Square root of 1^2 +-13^2
d= Square root of 1+169
d= Square root of 170
d= 13.04
Rounded to a whole number, the answer is 13
Answer:
D
Step-by-step explanation:
you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9
d=√(x2-x1)²+(y2-y1)²
=√(1-1)²+(-4-9)²
=√(0)²+(-13)²
=√169
=13
I hope this helps
** I NEED HELP PLEASE AND THANK YOU***
Instructions : X,Y,and Z are midpoints. Find the length of each segment.
Answer:
MZ = 10
ZO = 10
MO = 20
XZ = 9
YZ = 7
Step-by-step explanation:
Triangles are all the same, proportionally.
X is midpoint of 14, so 7
Y for 18, so 9
Triangle with 10 is 7, 9, 10
Full triangle is double at 14, 18, MO
Since angle N is same angle, MO is double 10, so 20
Z is midpoint, so both halves are 10
Because of midpoints, XZ and YZ with 10 form same triangle as half triangle at 9, 7, and 10 respectively.
You tried to get every semi truck to honk but only 7 did what fraction if semi trucks you saw honked
Answer:
I am so lost but if it's how many honk out of how many you saw I would assume 7/7
pls help in question no 10. a)
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
The question isn't well formatted ; however, from what can be deduced from the question posted :
Answer:
- 10.071
Step-by-step explanation:
Given the expression :
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
Expressing Mathematically :
h - (- 2.22) = - 7.851
Opening the bracket :
h + 2.22 = - 7.851
Subtract 2.22 from both sides :
h + 2.22 - 2.22 = - 7.851 - 2.22
h = - 10.071
If x / 2y = 0.4 , A / 5B = 0.25 Then A + y / 5 =…....
Answer:
[tex] \frac{x}{2y} = \frac{4}{10} \\ 8y = 10x \\ y = \frac{10x}{8} - - - - - 1 \\ \\ \frac{a}{5b} = \frac{25}{100} \\ \frac{a}{5b} = \frac{1}{4} \\ 4a = 5b \\ a = \frac{5b}{4} - - - 2 \\ \\ so \: \: \frac{a + y}{5} \\ = (a + y) \times \frac{1}{5} \\ = ( \frac{5b}{4} + \frac{5x}{4} ) \times \frac{1}{5} \\ = \frac{5b + 5x}{4} \times \frac{1}{5} \\ = \frac{5(b + x)}{4} \times \frac{1}{5} \\ = \frac{b + x}{4} \\ \\ so \: \: \: \frac{a + y}{5} = \frac{b + x}{4} [/tex]
Given that [tex]\frac{x}{2y} = 0.4 \ and \frac{A}{5B} = 0.25.[/tex] The value of equation [tex]\ \frac{A+y}{5} = \frac{x+10B}{40}[/tex]
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. The expressions may contain any constants, variables and algebraic operators.
Given the equations,
equation 1:
[tex]= \frac{x}{2y} = 0.4 = \frac{4}{10} \\\\= 10x = 80y \\\\= x = 8y\\\\=y = \frac{x}{8}[/tex]
equation 2:
[tex]\frac{A}{5B} = 0.25 = \frac{25}{100} = \frac{1}{4}\\ \\=4A = 5B\\\\=A = \frac{5B}{4}[/tex]
We need to find [tex]\frac{A + y}{5}[/tex],
putting the value of A and y in the equation,
[tex]= \frac{A + y}{5}\\\\=\frac{\frac{x}{8}+\frac{5B}{4} }{5} \\\\= \frac{x+10B}{40}[/tex]
Learn more about equations here
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Statement Reason
Check Answers
Answer:
Question?
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?
Answer:
sinF = [tex]\frac{11}{61}[/tex]
Step-by-step explanation:
sinF = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EG}{FE}[/tex] = [tex]\frac{11}{61}[/tex]
The ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].
What is sine of an angle?In a right angled triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse.
Formula for sine of an anglesin θ = opposite side w.r.t θ / hypotenuse
According to the given question
We have
A right angle triangle EFG, in which
∠G = 90 degree
EG = 11
FE = 61
and, GF = 60
Now, the opposite side with respect to ∠F is GE
and the hypotenuse is EF
Therefore, sine of ∠F = side which is opposite w.r.t ∠F/ hypotenuse
⇒ [tex]sinF=\frac{GE}{EF}[/tex]
⇒ [tex]SinF=\frac{11}{61}[/tex]
Hence, the ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].
Learn more about sine of an angle here:
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I NEEDDD HELPPPP ASAPPPP ITS URGENTTT!!!!
Answer:
(x-6)^2+(y-14)^2=4
Step-by-step explanation:
Sally spent half of her allowance going to the movies. She washed the family
car and earned 6 dollars. What is her weekly allowance if she ended with
17 dollars ?
does it give the answer choice or is it a blank space?
Find the multiples of 7 which is greater than 56 but less than 77
Answer:
63,70
Step-by-step explanation:
7 x 8 = 56
7 x 11 = 77
multiples of 7 and 9, 7 x 10
63 and 70
7×9 = 63
7×10 = 70
Answered by Gauthmath must click thanks and mark brainliest
In a survey of women in a certain country the mean height was 62.9 inches with a standard deviation of 2.81 inches answer the followinv questions about the specified normal distribution
The question is incomplete. The complete question is :
In a survey of women in a certain country ( ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 99th percentile? (b) What height represents the first quartile? (Round to two decimal places as needed)
Solution :
Let the random variable X represents the height of women in a country.
Given :
X is normal with mean, μ = [tex]62.9[/tex] inches and the standard deviation, σ = [tex]2.81[/tex] inches
Let,
[tex]$Z=\frac{X - 62.9}{2.81}$[/tex] , then Z is a standard normal
a). Let the [tex]99th[/tex] percentile is = a
The point a is such that,
[tex]$P(X<a)=0.99$[/tex]
[tex]$P \left( Z < \frac{a-62.9}{2.81} \right) = 0.99$[/tex]
From standard table, we get : [tex]P( Z < 2.3263) =0.99[/tex]
∴ [tex]$\frac{(a-62.9)}{281} = 2.3263$[/tex]
[tex]$a= (2.3263 \times 2.81 ) +62.9$[/tex]
= 6.536903 + 62.9
= 69.436903
= 69.5 (rounding off)
Therefore, the height represents the [tex]99th[/tex] percentile = 69.5 inches.
b). Let b = height represents the first quartile.
It is given by :
[tex]P( X < b) =0.25[/tex]
[tex]$P \left( Z < \frac{(b-62.9)}{2.81} \right) = 0.25$[/tex]
From the standard normal table,
[tex]P( Z < -0.6745) =0.99[/tex]
∴ [tex]$\frac{(b-62.9)}{2.81}= 0.6745$[/tex]
[tex]$b=(0.6745 \times 2.81) +62.9$[/tex]
= 1.895345 + 62.9
= 64.795345
= 64.8 (rounding off)
Therefore, the height represents the 1st quartile is 64.8 inches.
If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spent in daycare is 6 hours, what is the ratio of time with father to time in daycare?
Answer:
7/60
Step-by-step explanation:
Because the question is phrased such that it asks "the ratio of time with father to....", we know to put the time with father on top, or first. Similarly, since it is asked to put the ratio of time with the father to the time in daycare, we can put the daycare amount second/on the bottom. Therefore, we can write the ratio as
(42 minutes)/(6 hours)
To make both of these in terms of minutes to simplify it, we know that 60 minutes = 1 hour, so 1 hour / 60 minutes =1 . Since multiplying something by 1 keeps it the same, we can multiply our ratio by this amount. We want to multiply with the hour on top so the hours cancel out, as so:
[tex]\frac{42 minutes}{6 hours} * \frac{1 hour}{60 minutes} = \frac{42 minutes * hours}{360 minutes * hours} = \frac{42}{360}[/tex]
To simplify this even further, we can note that 6 is a factor of both 42 and 360*, so we can multiply this fraction by (1/6) / (1/6) to get
(42/360) * (1/6)/(1/6) = 7/60 as our final answer
If this doesn't come up immediately, you can always find the greatest common factor by listing the factors of each number and finding the highest one that fits both, e.g.
for 42: 42, 21, 14, 7 , 6...
for 360: 360,180, ... 6,5....
f The difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 37 vedanta Excel in Mathematics
Answer:
15
Step-by-step explanation:
first find f which is (8-3) × ( 1/4 × 7 + 5)
simplify
5 × (1/4 ×12)
5 × 3
15 is thw answer
2 Select THREE expressions that are equivalent to 16x - 68 A. -4(4x - 17) B-28x + 3) c. 21-8-34) D 4 - 4 - 17) E 8 - 2x-8)
pls help:(
Answer:
Step-by-step explanation:
let's try a:
-4*4x-4*(-17) - expand the distributing terms
-16x-4*(-17) - simplify
-16x-(-68) - simplify again
-16x+68 - remove parentheses
-16x+68 does not equal to 16x-68
lets try b:
-28x+3... dont know what u mean
lets try c:
13-34 first
-21
lets try d:
0-17
-17
lets try e:
-2x+(8-8)
-2x
fortunally dont know what you mean.
what is the equation of the graph ?
Answer:
what graph
Step-by-step explanation:
If p:q=3:4 and q:r=14:9, find p:r
Answer:
7/6
Step-by-step explanation:
p=3/4*q
q=14/9*r
so p=3/4*14/9r=7/6r
b) Tìm ba cách viết số hữu tỉ -11/25 dưới dạng tổng của hai số hữu tỉ dương.
Please help explanation if possible
Answer:
y = 1/7x + 0
Step-by-step explanation:
3x + 21y = 21
21y = -3x + 21
y = -3/21x
y = 1/7x
12
Use upper rectangles with areas equal to
Marks: 1
Area = f(x) · A3
to estimate the area under the curve of f(x) = x, on the interval from (1,3). Partition the interval into four subintervals. Hint:
Area = (F(1.5) + f(2) + f(2.5) + f(3))Ar = (1.53 +23 +2.53 +33)Az, where Ax =
Choose one answer.
ST
3-1
4
a. 35
b. 42
c. 27
d d. 19
Answer:
42
Step-by-step explanation:
The temperature is 45°F The temperature will decrease by 2°F each hour. Let
h be the number of hours.
When will the temperature be below 32°F?
Write an inequality for this problem.
A. 45 + 25 = 32
B. 45 - 2.32
C. 45 + 25 32
D. 45 - 253
HELP HURRY PLEASE i dont understanddd
Answer:
see image
Step-by-step explanation:
put a point on .5 on the x axis and a point on -3 on the y axis draw a line through them and shade the space under the line