Given:
The expression is:
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
Write the mixed fractions in the form of improper fractions.
[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]
[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]
[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]
Taking LCM, we get
[tex]=\dfrac{2(-25)-17}{8}[/tex]
[tex]=\dfrac{-50-17}{8}[/tex]
[tex]=\dfrac{-67}{8}[/tex]
Now write this improper fraction in the form of mixed fraction.
[tex]=-\dfrac{64+3}{8}[/tex]
[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]
[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]
[tex]=-8\dfrac{3}{8}[/tex]
Therefore, the correct option is B.
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
Pls help me with this one
Answer:
c
Step-by-step explacnation:
Answer:
D
Step-by-step explanation:
AREA OF CIRCLES PLS HELPP
Answer:
r = 3 ft
Step-by-step explanation:
A = πr²
9π = πr²
9π/π = r²
9 = r²
√9 = r
3 = r
Hope this helps!
A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.
Answer:
E
Step-by-step explanation:
Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd
Answer: 7.1 yd
Step-by-step explanation:
the formula for arc length is 2πr(x/360), x being the central angle
input the values, so the equation would be 2π9(45/360), which equals 7.1
Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°
Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]
Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.
Answer:
257.48 inches
Step-by-step explanation:
pi * radius^2 * Hight
find radius by dividing the diameter in half
pi = 3.14
alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ
cause a dictionary contains all known words including dictionary..my turn!.look in the comments!
Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?
Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle
The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28
Are the following figures similar?
Answer:
well the shape is same but the measurements are different
Step-by-step explanation:
A tv costs £1300. Work out the price after a 4.2% price increase.
Answer:
HII
1
Step-by-step explanation:
ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
Express 6 : 12 in the form n : 1 . Give n as a decimal.
Answer:
6:1
Step-by-step explanation:
Simplify this expression using the distributive property.
2(2z+9)
Answer:
[tex]\bold{4z+18}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
Now, let's use this property to solve our problem:
[tex]\bold{2(2z+9)}[/tex]
[tex]\bold{4z+18}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Hi, let me help you out!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In order to simplify this, we're going to use a property that's called the Distributive Property:
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
Where a, b, and c can be variables, constants, or both (like 4c).
Now let's simplify our expression:
[tex]\longrightarrow\tt{2(2z+9)}[/tex]
Multiply 2 times 2z and 9:
[tex]\longrightarrow\tt{4z+18}[/tex]
Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].
I hope this helps you! Have an awesome day.
If you need any explanation or clarification, just let me know! :)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
I need help with math
Answer:
Its the second one
Step-by-step explanation:
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
hi! please help i’ll give brainliest
Answer:
third option mechanical weathering
Step-by-step explanation:
in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .
Answer: Mechanical weathering
Step-by-step explanation:
I haven’t done this since 7th grade sorry I just don’t remember
what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81
Answer:
81
Step-by-step explanation:
(-81)(-1) = 81
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?
Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
please help me!!!! :(((
Answer: 2x, x^3, 3x^4, 4x^5, 34
Step-by-step explanation:
Standard form starts with the lowest degree to the highest, then ends with any naked numbers
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
what is the area of the trapezoid
Answer:
A=2132
Step-by-step explanation:
Solution
A=a+b/ 2h=44+8/ 2·82=2132
275^2 please answer this question
Answer:
75,625
Step-by-step explanation:
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y