Answer:
75.06239187
Step-by-step explanation:
1/2bh= Area of a Triangle
6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.
36+b^2=72.25
b^2=36.25
b=6.02
6.02+19= base
25.02
Now area
1/2bh
1/2 (25.02*6)
25.02*6= 150.1247
150.1247/2= 75.06239187 is Area
The above decimals before area are rounded.
If 7x - 4y = 23 and x + y = 8, what is the value of x?
Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
------------------------
11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
Answer:
[tex]\huge\boxed{x=5}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]
What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
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
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.
please help me answer this!!
Answer:
(x, y) = (10, 290)
Step-by-step explanation:
From the table
Total fees = fixed + variable
Fixed:
When number of times Ahmed mowed, x = 0
y = 40
When x = 2, y = 65
Rate of change = y2 - y1
= 65 - 40
= 25
y = 40 + 25x
Where,
y = total fees charged
40 = fixed fee
25x = variable fee
Total amount Ahmed will make for mowing 10 times
when x = 10
y = 40 + 25x
y = 40 + 25(10)
= 40 + 250
= 290
y = 290
(x, y) = (10, 290)
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
What is the coefficient of the expression:
3n+4
Answer:
The coefficient is 3, the number right before the variable.
Answer:
3
Step-by-step explanation:
Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.
Answer:
2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer
Answer:
339
Step-by-step explanation:
a = 567 (.95)¹⁰
a = 339.4838445482
Rounded
339
Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2
Answer:
Y < 3x+2
Step-by-step explanation:
Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.
So your answer is:
y>3x+2
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph? Select all that apply.
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.
Answer:
152 and 9
Step-by-step explanation:
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answer:
C = 4 pi ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Solving for r
4 pi = pi r^2
Dividing each side by pi
4 = r^2
Taking the square root of each side
sqrt(4) = sqrt(r^2)
2 = r
Now we can find the circumference
C = 2 * pi *r
C = 2*pi*2
C = 4 pi ft
What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?
Answer:
-5, -3
Step-by-step explanation:
Solve for y.
3= y+7 divided by 3
Y=
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2
Answer:
The answer is [tex]3^3\times 2^2[/tex].
Step-by-step explanation:
According to the rules of exponents
a^n = a x a x a x .... n times
So,
[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
2. The average daily rainfall in London during April was 3.5 mm. How much rain fell during the month?
Answer:
105mm
Step-by-step explanation:
To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall
Number of days in April: 30
Average daily rainfall: 3.5mm
Rainfall during the month = 30 * 3.5 = 105mm
Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image
a. How many notebooks can Amy buy? _________
b. How much money will she have left? __________
NEED ANS ASAP giving u 50points
Answer:
Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1
Step-by-step explanation:
93.1-35-35=23.1
Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.
A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
translation (aka shifting)rotationreflectionAny of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3
Answer:
raj
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Have a nice day
the value of each square root
Answer:
root 324=18
root 441=21
root 529=23
Step-by-step explanation:
root 324 = 18
root 441 = 21
root 524 = 23
What is the perimeter of the parallelogram???
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
Which set of numbers does not contain the value below?
Select one:
a. Complex Numbers
b. Pure Imaginary Numbers.
c. Rational Numbers.
d. Integers.
Answer:
b. Pure Imaginary Numbers.
Step-by-step explanation:
[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]
-3 is an integer, a complex number, and a rational number.
Answer: b. Pure Imaginary Numbers.