Answer:
Keith p = 6d
Tameka p = 5d + 15
p=p so the following is also true:
6d = 5d + 15
let's do the same thing on both sides of the equation, subtract 5d
d = 15
after 15 days the will be on the same page
you could also say that Tameka is slowly catching up with a rate of 1 page per day
Find the measure of each acute angle.
The measure of the top-left angle in the triangle is__º and the measure of the bottom-right angle is__º.
Answer:
the top angle is 48
the bottom right angle is 42
Step-by-step explanation:
The sum of the angles of a triangle is 180
90 + 8x+7x = 180
Combine like terms
90 +15x = 180
Subtract 90 from each side
15x = 180-90
15x = 90
Divide by 15
15x/15 =90/15
x = 6
8x = 8*6 = 48 so the top angle is 48
7x = 7*6 = 42 so the bottom angle is 42
Solution given:
8x°+7x°+90°=180°[sum of interior angle of a triangle is 180°]
15x=180°-90°
x=90/15
x=6°
8x=8*6=48°
7x=7*6=42°
Raul is flying a kite at the end of a string that is 200 feet long. Raul is holding the string 5 feet off the ground at the angle to the horizontal of 25. How high is the kite off the ground?
Answer:
Kite is 89.52 ft off the ground
Step-by-step explanation:
We are told that the string is 200 ft long.
That the string is 5 ft off the ground at an angle of 25° to the horizontal.
I have drawn a triangle to depict this illustration with x being the height of the kite from the end of the string.
Also, I have depicted the ground level which is 5 ft below the end of the string.
From the triangle, we can calculate the height of the kite above the end of the string using pythagoras theorem.
x/200 = sin 25
x = 200 sin 25
x = 200 × 0.4226
x = 84.52 ft
Now, the bottom of the kite is 5 ft off the ground as depicted in the attachment.
Thus, height of kite above the ground = 84.52 + 5 = 89.52 ft
CSC(4x) - cot(4x)
CSC(4x) + cot(4x) =
A. tan(2x)
B. cot(4x)
C.tan^2(2x)
D. tan^2 (4x)
Answer:
c. tan^2(2x)
Step-by-step explanation:
The required simplified expression is given as tan²(2x). Option c is correct.
[CSC(4x) - cot(4x) ] / [CSC(4x) + cot(4x) to be simplified.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
[tex]= [csc(4x) - cot(4x)] / [csc(4x) + cot(4x)] \\= [1/sin4x - cos4x/sin4x] / [1/sin4x + cos4x/sin4x]\\= [(1-cos4x)/sin4x] / [(1+cos4x) /sin4x] - - - - (1)[/tex]
Here,
[tex]1 - cos4x = 2sin^24x[/tex]
[tex]sin4x = 2sin2xcos2x,\\ 1+cos4x = 2cos^22x[/tex]
now put the value in equation 1
[tex]= [(2sin^22x)/2sin2xcos2x] / [(2cos^22x) /2sin2xcos2x] \\= [(sin2x)/cos2x] / [(cos2x) /sin2x] \\=tan2x/cot2x\\=tan^22x[/tex]
Thus, the required simplified expression is given as tan²(2x). Option c is correct.
Learn more about simplification here:
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Zack has 2 feet of basla wood. He needs twice that amounts to finish his project. The cost is $0.05 per inch how much will the balsa wood cost
Answer:
$2.40
Step-by-step explanation:
Zack needs a total of 4 feet of balsa wood which costs $0.05 per inch.
Note that 4 feet = 48 inches.
The overall cost will be ($0.05/in)(48 in) = $2.40
Sharma is three years older than Anand. Six years ago Sharma's age was four times Anand's age. Find their ages?
Answer:
See explanation
Step-by-step explanation:
Anand = x
Sharma = x + 3
6 years ago
Anand = x - 6
Sharma = (x + 3) - 6
= x + 3 - 6
= x - 3
Sharma age = 4 (x - 6)
Six years ago Sharma's age was four times Anand's age.
x + 3 = 4(x - 6)
x - 3 = 4x - 24
x - 4x = -24 + 3
- 3x = - 21
x = - 21/-3
x = 7
Anand = x = 7 years
Sharma = x + 3
= 7 + 3
= 10 years
SU is a midsegment of △QRT. If QR=v–66 and SU=v–76, what is the value of v?
Answer:
v=56
Step-by-step explanation:
su is half qr, 2(v-66)=v-76, simplifies to v=56
En una fábrica, tres de cada veinte jarrones salen con algún defecto. Si se hacen 1000 jarrones, ¿Cuántos saldran defectuosos?
Answer:
si se hacen 1000 jarrones, 150 saldrán defectuosos.
Step-by-step explanation:
En primer lugar es conveniente determinar el porcentaje de jarrones que salen con algún defecto.
Si 20 corresponde a la cantidad total de jarrones, entonces, se divide 3 sobre 20 para encontrar el porcentaje al que 3 jarrones defectuosos corresponde. La división da como resultado 0,15. Para transformar el valor encontrado en porcentaje, es necesario multiplicar por 100. Entonces, 3 jarrones defectuosos corresponden a 15% de jarrones en total.
Si se hacen 1000 jarrones, es necesario multiplicar por dicho número. Esto es: 15%*1000, obteniendo como resultado 150.
Entonces, si se hacen 1000 jarrones, 150 saldrán defectuosos.
What is the slope of the line that passes through the points (-3,5) and (6,-1)?
Answer:
C.
[tex]slope = \frac{( - 1 - 5)}{6 - ( - 3)} \\ = \frac{ - 6}{9} \\ = - \frac{2}{ 3} [/tex]
The image of ADEF is ADE'F'. Under which transformation will the triangles not be congruent?
O a reflection through the origin
O a reflection over the line y = x
O a dilation with a scale factor of 1 centered at (2,3)
a dilation with a scale factor of centered at the origin
Answer:
there is no image go see here
wats the answer of 1 2/5 ÷14/15
Answer:
2/5 ÷-14/15
2/5×-15/14
-3/7 is ur answer
Answer:
3/2 = 1 1/2 or 1.5
Step-by-step explanation:
1 2/5 ÷ 14/15
= 7/5 ÷ 14/15
= 7/5 × 15/14
= 3/2 = 1 1/2 or 1.5
Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras
Answer:
El número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
Step-by-step explanation:
Vamos a representar
El número de facturas de
5 lempiras = x
20 lempiras = y
Nuestro sistema de ecuaciones se da como:
x + y = 25 ..... Ecuación 1
x = 25 - y
5 × x + 20 × y = 350
5x + 20y = 350 .... Ecuación 2
Sustituiríamos x por 25 - y en la ecuación 2
5 (25 - años) + 20y = 350
125 - 5 años + 20 años = 350
125 + 15 años = 350
15 años = 350 - 125
15 años = 225
y = 225/15
y = 15
Resolviendo para x
x = 25 - y
x = 25 - 15
x = 10
Por lo tanto, el número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
Twelve apples were cut in thirds. How many pieces of apples are there now?
Answer:
36
Step-by-step explanation:
12*3=36
I have this math problem and it is: an equation in function from that reflects f(x)=3x over the line y=0.
Answer:
[tex]g(x) = -3x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x[/tex]
Required
Reflect over [tex]y = 0[/tex]
This means that we reflect over the x-axis
And the rule of reflection is:
[tex](x,y) \to (x,-y)[/tex]
Hence:
[tex]f(x) = 3x[/tex]
Will become:
[tex]g(x) = -f(x)[/tex]
So, we have:
[tex]g(x) = -3x[/tex]
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply.
Answer:
7th
Step-by-step explanation:
63 - 58 = 5
68-63 = 5
She is adding 5 points each time
a1 = 58
d = 5
a2 = 63
a3 = 68
a4 = 58+5 = 73
a5 = 73+5 = 78
a6 = 78+5 = 83
a7 = 83+5 = 88
This is the first assessment greater then 85, so the 7th assessment
How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?
SOMEONE ANSWER PLS
Answer:
Possible outcomes = 6
Step-by-step explanation:
Since the spinner is divided into red, yellow, orange, purple, blue and pink
Total of 6 colors.
To the nearest square centimeter, what is the area of the shaded sector in the
circle shown below?
A 22 cm
B 201 cm
346 cm
O 87 cm
Answer:
The answer would be 87^2
Step-by-step explanation:
The solution is, Area of a sector is 138.23 cm².
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
The formula for the area of a sector is given as:
θ/360 × πr²
θ = 110°
Radius = r = 12 cm
Hence
Area of a sector = 110/360 × π × 12²
= 138.23007676 cm²
Approximately, Area of a sector = 138.23 cm²
Hence, The solution is, Area of a sector is 138.23 cm².
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Write the equation of a circle that has a radius of 1/2 and a center at (1, -1),
O (x - 1)^2 + (y - 1)^2 - 1/2
O (x - 1)^2 + (y +1)^2 - 1/4
O (x+1)^2 - (y + 1)^2 - 1/4
O (x + 1)^2 + (y - 1)^2 = 1/2
Answer:
[tex](x-1)^2+(y+1)^2=\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].
What we're given:
[tex]r[/tex] of 1/2Center at (1, -1)Substituting given values, we get:
[tex](x-1)^2+(y-(-1))^2=\frac{1}{2}^2,\\\boxed{(x-1)^2+(y+1)^2=1/4}[/tex]
Find the value of 'x' then calculate the measure of angle C(2x + 15) in the triangle below.
Answer:
x = 33
<C = 81
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+ 2x+ 2x+15 = 180
Combine like terms
5x+15 = 180
Subtract 15 from each side
5x +15-15 =180-15
5x = 165
Divide by 5
5x/5 =165/5
x = 33
<C = 2x+15 = 2(33)+15 = 66+15 = 81
Answer:
x = 33
c = 81
Step-by-step explanation:
Sum of three angles of triangle = 180
x + 2x + 2x + 15 = 180
Combine like terms
5x + 15 = 180
Subtract 15 from both sides
5x = 180 - 15
5x = 165
Divide both sides by 5
x = 165 /5
x = 33
∠C = 2x + 15 = 2*33 + 15 = 66 + 15 = 81°
please answer thissssss
Answer:
A? oof not sure
Step-by-step explanation:
I dont know
find the area of the figure below
A.288.62
B.266.22
C.186.66
D.236.6
Answer:
A. 288.62
Step-by-step explanation:
Area of two triangles = 15.3 * 10.4 = 159.12
Area rectangle = hypotenuse triangle * 7
hypotenuse = √108.16 + 234.09
Hypotenuse = 18.5
Area rectangle = 18.5 * 7 = 129.5
129.5 + 159.12 = 288.62
Answer = A. 288.62
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
HELP ME NOW OOR NO DINO COOKIES snsndndnd
Answer:
it is because the volume of the box is 200in^2
30 dollars
Step-by-step explanation:
-4x4+1.5-2.5-2x4-6.5
Answer:
0.5
please mark me as Branliest
balance the following redox reaction by ion electron method.
I2+ HNO3 = HI03+ NO2+ H20
Answer:
BRO I DONT KNOW SORY I NEED POINTS
Step-by-step explanation:
In RST, RS = 8 and ST = 10. Which one of the following cannot be true?
RT cannot equal 18 because then A + B would be equal to C which and then the sides cannot touch.
which statement is true?
Answer:
All parallelograms are quadrilaterals
Answer:
All parallelograms are quadrilaterals.
Step-by-step explanation:
A parallelogram is defined by a polygon with 2 pairs of parallel sides, which implies there are a total of 4 sides in the polygon. Therefore, the parallelogram must be a quadrilateral.
Which of the following figures have an area greater than 40 square centimeters?
Select ALL that apply.
A. A triangle that has a base of 8 cm and height of 9 cm
B. A square that has a side length of 7 cm
C. A rectangle that has a base of 14 cm and height of 3 cm
D. A parallelogram that has a base of 5 cm and a height of 6 cm
B AND C
Step-by-step explanation:
B
AREA OF SQUARE =L²
= 7²
= 49cm²
C..
area of a rectangle Base × height
= 14 × 3
= 42cm²
Please give me the answer and show me how you solved it
Step-by-step explanation:
plz mark the brainliest plzz
[tex]\huge\bold{Given :}[/tex]
Angle ABC = 4x°
Angle BAC = x°
Angle BCA = 60°
[tex]\huge\bold{To\:find :}[/tex]
The value of x.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x\:=\:24°}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°
➪ 4x + x + 60° = 180°
➪ 5x + 60° = 180°
➪ 5x = 180° - 60°
➪ 5x = 120°
➪ x = [tex]\frac{120°}{5}[/tex]
➪ x = 24°
Therefore, the value of x is 24°.
Now, the three angles of the triangle are
∠ ABC = 4x = 4 x 24° = 96°
∠ BAC = x = 24°
∠ BCA = 60°
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ ABC + ∠ BAC + ∠ BCA = 180°
✒ 96° + 24° + 60° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
(Note:- Kindly refer to the attached file.)
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Given that sin(Θ)=1/2 and Θ is in quadrant II, which of the following would be the value of cos(Θ)?
a. 1/2
b. -1/√3
c. √3/2
d. -√3/2
e. 2
i think it should be e but not shure
help pls no brainlist if not
1) You are eating 3/4 cup of ice cream, 1/8 cup of chocolate syrup, and one sixteenths cup of cherries. How many (total) cups is your dessert?
Answer:
3/4=ice cream
1/8=chocolate syrup
1/16=cherries
Total=3/4+1/8+1/16
[tex]\frac{3X4}{4X4} +\frac{1X2}{8X2} + \frac{1X1}{16X1} \\\frac{12+2+1}{16} = \frac{15}{6}[/tex]
Total cups =15/6=2.5 cups.
Hoped this helped!
