Answer:
C. 91.46
Step-by-step explanation:
Use BODMAS!
Answer:
C. 91.46
Step-by-step explanation:
Using Pemdas to solve:
5.9 (9 - 5) + 4^3 + 3.86
First you have to solve in the parenthesis
5.9 (9 - 5) + 4^3 + 3.86
= 4
New equation:
5.9 x 4 + 4^3 + 3.86
Now solve the exponent:
5.9 x 4 + 4^3 + 3.86
= 64
New equation:
5.9 x 4 + 64 + 3.86
Now we have to do multiplication:
5.9 x 4 + 64 + 3.86
= 23.6
New equation:
23.6 + 64 + 3.86
Now all you have to do is add all that together and you have your answer:
23.6 + 64 + 3.86
= 91.46
Hope this helps.
Please help me!! High school algebra 2 math. Big Ideas Math.
Step-by-step explanation:
We know that,
[tex]\boxed{\sf \sin θ = \dfrac{Opposite \: side}{Hypotenuse}}[/tex]
[tex]\longmapsto \sf \sin 30^{\circ} = \dfrac{x}{12}[/tex]
[tex]\longmapsto \sf \dfrac{1}{2}= \dfrac{x}{12}[/tex]
[tex]\longmapsto \sf \dfrac{1}{2}×12= \dfrac{x}{12}×12[/tex]
[tex]\longmapsto \sf x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hello!
The missing angle is 60°, and is found by subtracting 90° and 30° from 180°.
Using basic triangle theorems of a 30° - 60° - 90° triangle, we know that the leg opposite to 30°, x, is one-half of the hypotenuse.
So:x = 0.5(12)x = 6.The value of x is 6.
The leg opposite to 60° is √3 times the leg opposite to 30°.
harry invests £6000 in a savings account.
the account pays 3.4% compound interest every year.
after 3 years how much will his investment be
Step-by-step explanation:
here,
principal (p)=£6000
Rate (R)=. 3.4%
time (t)=3 yrs
now,
total investment is compound amount i.e CA
here,
[tex]CA = p(1 + \frac{r}{100} ) ^{t} [/tex]
=£6000(1+3.4/100)^3
=£6633.044
here he will get his total investment as £6633.044 in compound interest of 3.4%
4.5 (−6.2)??????
explanation: i'm slow
Answer:
0
Step-by-step explanation:
simplfy: 4.5(6.2) = 0
Multiply 4.5 * 6.2
27.9 = 0
and solve
27.9 = 0
I hope this helps ^^
Answer:
= -27.9
If you mean multiplication, [tex]4.5\times(-6.2)=-27.9[/tex].
The product is negative because the (-)6.2 is negative.
Step-by-step explanation:
$75 before tax. Disc: 10% Tax: 7%, Tip: 20% what's the total PLEASE help
Answer:
total: $86.68
Step-by-step explanation:
The value of each change is found by multiplying the base amount by the percentage change. The result is rounded to the nearest cent. Here, we're applying 3 changes. In order to make sure they're rounded properly, we need to apply them in order
__
discountThe discount amount is ...
discount = bill × 10% = $75.00 × 0.10 = $7.50
The discounted amount is ...
bill - discount = $75.00 -7.50 = $67.50
__
taxThe tax amount is ...
tax = discounted bill × tax rate = $67.50 × 0.07 = $4.725 ≈ $4.73
The bill with tax added is ...
discounted bill + tax = $67.50 +4.73 = $72.23
__
tipThe tip is apparently added to the amount after tax, so the amount of the tip is ...
tip = taxed bill × 0.20 = $72.23 × 0.20 = $14.446 ≈ $14.45
The bill with tax and tip added is ...
total bill = $72.23 +14.45 = $86.68
_____
Additional comment
At each stage, the amount can be found by using the multiplying factor (1+p), where p is the percentage change. All three factors applied gives a result of ...
75×(1-0.10)(1+0.07)(1+0.20) = 75×0.9×1.07×1.2 = 86.67
You will note this differs by a penny from the amount calculated above. That is a consequence of rounding up both the tax and the tip.
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
Jane earns an annual salary of £14000 and receives
a pay rise of 1.8%
Lenny earns an annual salary of £11000 and
receives a pay rise of 1.7%
Find which of the employees has the larger pay
increase and by how much.
The employee that has the larger pay increase is Jane. Her income is larger by £65.
Which employees has the larger pay increase?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.
Increase in Jane's salary = £14,000 x 0.018 = £252Increase in Lenny's salary = £11,000 x 0.017 = £187Difference in increase = $252 - £187 = £65To learn more about percentages, please check: https://brainly.com/question/25764815
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If x= 7 - 4√3 then find the value of (a) (x+1/x) rais to 2 b) x rais 2+1/x rais to 2
The equation x = 7 - 4√3 is a radical expression, and the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
How to solve the expressions?The equation is given as:
x = 7 - 4√3
So, we have:
[tex](x + \frac 1x)^2 = (7 - 4\sqrt 3 + \frac{1}{7 - 4\sqrt 3})^2[/tex]
Take the LCM
[tex](x + \frac 1x)^2 = (\frac{49 -56\sqrt3 + 48}{7 - 4\sqrt 3})^2[/tex]
Evaluate the like terms
[tex](x + \frac 1x)^2 = (\frac{97 -56\sqrt3 }{7 - 4\sqrt 3})^2[/tex]
Rationalize
[tex](x + \frac 1x)^2 = (\frac{(97 -56\sqrt3)(7 - 4\sqrt 3) }{49 -48})^2[/tex]
Evaluate the difference
[tex](x + \frac 1x)^2 = ((97 -56\sqrt3)(7 - 4\sqrt 3))^2[/tex]
Expand
[tex](x + \frac 1x)^2 = (679 -388\sqrt 3 -392\sqrt 3 + 672)^2[/tex]
Evaluate the like terms
[tex](x + \frac 1x)^2 = (1351 -780\sqrt 3 )^2[/tex]
Expand
[tex](x + \frac 1x)^2 = 1825201 +1825200 -2107560\sqrt 3[/tex]
[tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
Hence, the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
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Help. I will give brainliest if correct.
A. -4/3
B. -3/4
C. 10/17
D. 17/10
The correct option is option B.
The common difference between given data is -3/4.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Here, given points;
x₁ = 1 , x₂ = 2 and y₁ = -3.75 , y₂ = -4.5
Now,
d = (y₂ - y₁)/(x₂-x₁)
d = (-4.5 - (-3.75))/(2 - 1)
d = -0.75 / 1
d = - 75/100
d = -3/4
Thus, The correct option is option B. The common difference between given data is -3/4.
Learn more about Sequence from:
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y is inversely proportional to √x
y = 9 when x = 16
a) An equation connecting y and x can be written in the form y=k/ √x
Work out the value of k.
k=
b) Work out the value of y when x = 25
y =
c) Work out the value of x when y = 4.5
Answer:
k=36; y=1.44; x=8
Step-by-step explanation:
a) y= k/square root of x
9=k/square root of 16
9=k/4
9×4= (k/4)×4
therefore k=36
b) Using k...
y=36/25
therefore y=1.44
c) 4.5=36/x
4.5×(x)= (36/x)×(x)
4.5x=36
therefore x=8
Find the radius and circumference of a circle with an area of 28.26.
Answer:
Radius = 3
Circumference = 18.84
Step-by-step explanation:
A = πr²
28.26 = 3.14r²
√9 = √r²
3 = r
C = 2πr
C = (2)(3.14)(3)
C = 18.84
Pls answer I will mark brainliest
Step-by-step explanation:
I hope this will help you
Answer:
198
Step-by-step explanation:
DL is a perpendicular bisector of chord GA. Identify the diameter.
Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]x < - 5[/tex]
Step-by-step explanation:
[tex] - 2x - 6 > x + 9[/tex]
[tex] - 2x - x > 9 + 6[/tex]
[tex] - 3x > 15[/tex]
[tex] \frac{ - 3x}{ - 3} > \frac{15}{ - 3} [/tex]
[tex]x < - 5[/tex]
How many grams are there in 28 kilograms
Translate the shape A four squares right and two squares down.
please don't delete this question iltae668.
What are the coordinates of the vertices of the image?
What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
Answer:
B. (2, 4)
Explanation:
Given equations:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
Answer:
(2,4)
Step-by-step explanation:
substitute the value of y x+2 = 3x-2
solve the value of x x = 2
substitue the value of x into one of the equations y = 2+2
solve for y value y = 4
Choose the graph below that matches the equation: =2/3 + 5
It is TRUE, so shade on the SAME side as (0,0)
Both (x−3)(x+3) and (3−x)(3+x) contain a sum and a difference and have only 3 and x in each factor. If each expression is rewritten in standard form, will the two expressions be the same? Explain or show your reasoning.
The expression is rewritten in standard form and they are not the same due to the negative.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Both (x−3)(x+3) and (3−x)(3+x) contain a sum and a difference and have only 3 and x in each factor.
Let see the equation formed by the factor;
(x−3)(x+3)
= x^2 + 3x - 3x - 9
= x^2 - 9
(3−x)(3+x)
= 9 + 3x - 3x - x^2
= 9 - x^2
The expression is rewritten in standard form and they are not the same due to the negative.
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Answer:
Step-by-step explanation:
PHOTO ATTACHED, please help ASAP, will give brainliest
Find the value of x that will make A||B.
5x + 9
A
B
Entor
6x-2
X =
= [?]
Answer: x=11
Step-by-step explanation:
Set the two equations equal to each other
5x+9 = 6x-2
9=x-2
11=x
x=11
X will need to be 11 in order to make the two equations equal to each other
Polygon ABCDE is reflected to produce polygon. A B C D E. what is the equation for the line of reflection
The roof of a clock tower is a pentagonal pyramid. Each side of the base is 7 ft long. The slant height is 9 ft. What is the area of the roof?
Answer:
Area = 63ft
Step-by-step explanation:
7*9=63
multiply the base and height
157.5 square feet is the area of the roof.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that the roof of a clock tower is a pentagonal pyramid.
a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point
Each side of the base is 7 ft long.
The slant height is 9 ft.
We need to find the area of the roof.
Area=1/2×7×9×5
=315/2
=157.5
Hence, 157.5 square feet is the area of the roof.
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Find the value of x.
x = [?]
Giving 40 points!!! please help
Select the correct answer.
What are the solutions of this quadratic equation?
x²+4=8x+5
A.
x = 8 + √34
B.
* = 8 + 2√17
C.
x=4 ± √7
D. x=4 ± √17
Answer:
[tex]\textsf{D.} \quad x=4 \pm \sqrt{17}[/tex]
Step-by-step explanation:
Rearrange the equation so it equals zero:
[tex]\begin{aligned} x^2+4 & =8x+5 \\ \implies x^2+4-8x-5 & = 0\\x^2-8x-1&=0\end{aligned}[/tex]
Now use the quadratic formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]a=1, \quad b=-8, \quad c=-1[/tex]
[tex]\implies x=\dfrac{-(-8) \pm \sqrt{(-8)^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{68}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{4\cdot 17}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{4}\sqrt{17}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm 2\sqrt{17}}{2}[/tex]
[tex]\implies x=4 \pm \sqrt{17}[/tex]
is 23/100 a rational number
Answer:
YES
Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers
- 23 and 100 are both integers
- 23 / 100 = 0.23 which is not a continious decimal
Answer:
Yes,it is.
Step-by-step explanation:
Rational numbers are usually expressed in fractions with both the numerator and denominator greater than zero
The cost of 10 days at healthy gym
HELPPPPPP ITS FOR MY FINALLLL
click the photo below
Answer:
28
Step-by-step explanation:
▪︎ ADE and ABC are similar triangles (AAA)
▪︎ DA = DB + BA = 30 + 12 = 42
▪︎ k = DA / BA = 42 / 12 = 3.5
▪︎ DE = BC * k = 8 * 3.5 = 28
Find the measure of the three missing angles in the parallelogram below.
Answer:
x= 67, y= 113 , z= 67........... ...........
can someone do this for me please?! Just the answer pls
Answer:
1. Center: (-4,3) Radius: 4
2. C
3. C (x^2 + (y+4)^2 = 16)
4. 50 miles
Step-by-step explanation:
1. Look up how to read equations of circles
2.Soh Cah Toa
3. equations of circles again
4. Pythagorean Theorem
Please help me I need it now please please please
Answer:
1st triangle: missing angle is 100
2nd triangle: missing angles are 50
3rd triangle: missing angle is 90, this is also a right triangle. The hypotenuse on this is the side length that reaches from angle 70 to 20. the other sides are legs
Step-by-step explanation:
A pre-school has 12 four-year old children and 11 three-year old children. What is the ratio of four-year old
children to three-year old children?
Answer:
12:11
Step-by-step explanation
Answer:
I think it would be 12:11
Step-by-step explanation:
This is because you can't down size the 11