Answers
Answer:
x = 9 m
y = 1 m
Step-by-step explanation:
6/1 = x/1.5
x = 1.5 × 6
x = 9
6/1 = 6/y
6y = 6
y = 1
Related Questions
Work out
64.89
% of
407.68
cm
Give your answer rounded to 2 DP.
Answers
Answer:
264.54 cm
Step-by-step explanation:
64.89% x 407.68 cmMultiplying
0.6489 x 407.68 cm264.543552 cm⇒ 264.54 cm
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.
Perimeter = 52.56 inches, Area = 162.24 square inches
Perimeter = 65.12 inches, Area
162.24 square inches
Perimeter = 46.28 inches, Area = 137.12 square inches
Perimeter = 52.56 inches, Area = 137.12 square inches
Answers
answer:
d
perimeter = 52.56 inches
area = 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
The composite shape with trapezium and semicircle is given.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The total perimeter = Perimeter of trapezium + Circumference of semicircle
Perimeter of trapezium = (8+10+10+20)
= 48 inches
Circumference of semicircle =πr
Here radius=8/2
= 4 inches
Now, 3.14×4 =12.56 inches
The total perimeter = 48+12.56
= 60.56 inches
Total area= Area of trapezium + Area of semicircle
Area of trapezium =1/2 (a+b)×h
= 1/2 (20+8)×8
= 28×4
= 112 square inches
Area of semicircle =πr²/2
= (3.14×4²)/2
= 25.12
Total area= 112+25.12
= 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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30. The surface area of a rectangular prism is
450 m2. What will be the new surface area if
all the dimensions are doubled?
A. 675 m2
B. 900 m2
C. 1,800 m2
D. 3,600 cm
hevolume of a
Answers
Answer:
1800 m²
Step-by-step explanation:
The surface area of a prism is the sum of the areas of its faces.
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²
⇒ 2(LH + BH + LB) = 450 m²
Finding the surface area if the dimensions are doubled:
⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]
⇒ 2[(4LH) + (4BH) + (4LB)]
⇒ 2[4LH + 4BH + 4LB]
⇒ 2[4(LH + BH + LB)]
⇒ 2[2 × 2(LH + BH + LB)]
⇒ 2[2(450)] [2(LH + BH + LB) = 450 m²]
⇒ 2[900]
⇒ 1800 m² (Option C)
Suppose $16,250 is invested at an interest rate of 7.9%, compounded continuously. How many years will it take for the investment to double? PLEASE HELP
Answers
Answer:
4 years
Step-by-step explanation:
basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)
Space Shuttle Marion is observing the launch of a space
shuttle from the command center. When she first sees the
shuttle, the angle of elevation to it is 16°. Later, the angle
of elevation is 74°. If the command center is 1 mi from the
launch pad, how far did the shuttle travel while Marion was
watching? Round to the nearest tenth of a mile,
Answers
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]
[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]
[tex]x_1 = 3.5[/tex]
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]
[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]
[tex]x_2 = 0.3[/tex]
The distance is:
[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at https://brainly.com/question/18090623
PLS HELP Solve for x
Enter your answer in the box.
Answers
Answer:
6
Step-by-step explanation:
If two secants are drawn from a point outside a circle, then product of one secant segment and its external part equal the product of the other secant segment and its external part.
(Secant-Secant Power Theorem)
(JG)(JH) = (JM)(JK)
(16) X (7) = (8+X)(8)
112=64+8X
8X=48
X=6
I need help with this question for my 8th grade math test
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
Answers
Transforming the points involves changing their coordinates
The image of the points are: (3, 6), (-11, 12) and (-3, -12)
How to complete the transformations?The coordinates of the points are given as:
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwiseThe rule of this transformation is:
(x, y) to (y, -x)
So, we have:
X' = (4, -2)
Y' = (-3, -5)
Z' = (1, 7)
b) Dilation by a scaling factor of 2The rule of this transformation is:
(x, y) to (2x, 2y)
So, we have:
X'' = (8, -4)
Y'' = (-6, -10)
Z'' = (2, 14)
c) Reflect across the x-axisThe rule of this transformation is:
(x, y) to (x, -y)
So, we have:
X''' = (8, 4)
Y''' = (-6, 10)
Z''' = (2, -14)
d) Translation 2 Up and 5 to the LeftThe rule of this transformation is:
(x, y) to (x -5, y + 2)
So, we have:
X'''' = (3, 6)
Y'''' = (-11, 12)
Z'''' = (-3, -12)
Hence, the image of the points are: (3, 6), (-11, 12) and (-3, -12)
Read more about transformation at:
https://brainly.com/question/4289712
What is the area of the figure?
Answers
=6*2*1/2
=6cm^2
Area of two triangles=6*2=12cm^2
Area of the rectangle=4*11=44cm^2
Total area=44+12=56cm^2
Therefore answer is B
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answers
Answer:
It's the y-int.
Step-by-step explanation:
I can't really see the graph well
Find the value of x.
x=?
please hurry I will mark brainliest if correct!
Answers
Answer: 45
Step-by-step explanation:
A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.
PLEASE PLEASE HELP ME
Answers
Go through second method
Area of one traingle'-
1/2(1.5)42(1.5)3cm²Area of two triangles=6cm²
Area of rectangle
(15-4)(3)11(3)33cm²Total:-
33+639cm²Answer:
Method 1
Find the area of the rectangle, 45 cm². Subtract the area of the cut-out triangle from the rectangle, 45 - 6 = 39 cm²
Method 2
Separate the ribbon into two triangles and a rectangle.
33 + 3 + 3 = 39 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × lengthArea of a triangle = 1/2 × base × heightMethod 1
Area of the rectangle:
= 3 × 15
= 45 cm²
Area of the cut-out triangle:
= 1/2 × 3 × 4
= 6 cm²
Find the area of the rectangle, 45 cm². Subtract the area of the cut-out triangle from the rectangle, 45 - 6 = 39 cm²
Method 2
Area of the rectangle:
= 3 × (15 - 4)
= 3 × 11
= 33 cm²
Area of one triangle:
= 1/2 × (3 ÷ 2) × 4
= 3 cm²
Separate the ribbon into two triangles and a rectangle.
33 + 3 + 3 = 39 cm²
Step-by-step answer, please.
Answers
Answer:
-335670
Step-by-step explanation:
Given :
a₁ = 2[tex]a_{i} = a_{i-1}-3[/tex]Solving :
Sum of an arithmetic sequence is given byS₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)S₃₃₅ = 335/2 x -4008S₃₃₅ = 335 x -2004S₃₃₅ = -335670It forms a arithmetic sequence
First term=a=2Common difference=d=-3So
a_335:-
a+334d2-(334)(3)2-1002-1000So
S_n
n/2[a+l]335/2[2-1000]335/2[-998]335(-499)-16716550% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?
Answers
Answer:
186
Step-by-step explanation:
186-50%= 93 or since 50% is half off 93×2=186.
Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2
Answers
Answer:
x = -2 - i, -2 + i.
Step-by-step explanation:
3x2 = -12x - 15
3x^2 + 12x + 15 = 0
Divide through by 3:
x^2 + 4x + 5 = 0
x^2 + 4x = -5
Completing the square:
x^2 + 4x + 4 = -5 + 4
(x + 2)^2 = -1
x + 2 = √-1 = i
x = -2 - i, -2 + i.
Number 2. Please help!!!!!!!!
Answers
Answer:
[tex]\frac{x-3}{x+2}[/tex]
Step-by-step explanation:
[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex] Rewrite
[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex] Factor out GCF (3)
[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex] Replace b with factors
[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex] Factor by grouping
[tex]\frac{x-3}{x+2}[/tex] Final answer
For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.
I hope this helps!
1534 divided by 26 what is the answer help me out.
Answers
Answer:
59
Step-by-step explanation:
1534/26=59
It's 59 because I used a calculator
i do not understand this please help
Answers
Answer: 7.4.
Step-by-step explanation: To find the area of a triangle, you need the base, height, and then divide the results by two. The following is done below:
A = h x b / 2, where h is the height, b is the base, and A is the area of the triangle.
A = 3.7 x 4 = 14.8.
Next, 14/8 / 2 = 7.4.
Therefore, 7.4 is your answer.
Hope this helps! :)
Using the following expression. Are there any values of x that makes the expression undefined? Explain your reasoning.
Answers
Answer
x=-2
Step-by-step explanation:
If x was equaled to -2 the outcome would be infinity, does this help at all?
Answer:
Step-by-step explanation:
Yes, there are certain values of x that makes given expression undefined in the set of real numbers.
x + 2 ≤ 0 ⇒ x ≤ - 2
If x ∈ ( - ∞ , - 2 ] , given expression is undefined.
solve for X: x = −b ± √b²-4ac/2a
Answers
two correct answers :
x = -2c
or
x = -2b - 2c
a community service program, students earn points for two tasks: painting over graffiti and picking up trash. The
following constraints are imposed on the program.
1) A student may not serve more than 10 total hours
per
week.
2) A student must serve at least 1 hour per week at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
Let t = the number of hours a student spends in a week picking up trash.
Write a system that represents the imposed constraints.
Answers
The system of equations that represents the imposed constraints is given as follows:
[tex]g + t \leq 10[/tex][tex]g \leq 1, t \leq 1[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
g = the number of hours a student spends in a week painting over graffiti.t = the number of hours a student spends in a week picking up trash.A student may not serve more than 10 total hours per week, hence:
[tex]g + t \leq 10[/tex]
A student must serve at least 1 hour per week at each task, hence:
[tex]g \leq 1, t \leq 1[/tex]
More can be learned about a system of equations at https://brainly.com/question/24342899
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100 points please help fast asap
Find the dimensions of the actual swimming pool.
A drawing plan includes a rectangular swimming pool with a length of 1/2 ft and a width of 1/4 ft. The actual pool will be enlarged by a scale factor of 80/1.
Answers
Answer:
length: 40, width: 20
Step-by-step explanation:
length = 1/2×80/1 = 40
width = 1/4 × 80/1 = 20
hope this helps =)
HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth
Answers
answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
if this helped, please consider giving brainliest !
the measure of an angle is 65 what is the measure of its complementary angle
Answers
Answer:
25 degrees
Step-by-step explanation:
complementary angles are 90 degrees
90-65=25 degrees
pls help me to answer this
Answers
Answers:
Sample Variance = 31.03
Sample Standard Deviation = 5.57
See the table below.
===================================================
Explanation:
M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.
For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.
Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.
Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.
--------------------------------------------------------------------------
After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].
This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03
This is the sample variance.
The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.
-
- What is the value of the expression 1\3x (5 + 7 x 4) - 10?
Answers
Answer:
-10x + 11/x
Step-by-step explanation:
I think you mean to simplify
1/3x(5+(7)(4))-10
= -30x + 33/3x
= -10x + 11/x
Find m v I need help with these two questions
Answers
Answer:
Step-by-step explanation:-15)
ABCD is quadrilateral
∠MBC+∠ABC=180°
∠ABC = [tex]\tt 180-71=109^o[/tex]
The sum of all angles of quadrilateral = 360°
[tex]\tt 10x+6+12x-2+8x-1+109=360^o[/tex]
[tex]\tt 31x+112=360[/tex]
[tex]\tt 31x+112-112=360-112[/tex] ( Subtract 112 from both sides)
[tex]\tt 31x=248[/tex] (Simplify)
[tex]\tt \cfrac{31x}{31}=\cfrac{248}{31}[/tex] (Divide both sides by 21)
[tex]\tt x=8[/tex]
___
16) Find m∠v
The polygon has 6 sides
Sum of angles:- (6-2)=180= 720°
so,
[tex]\tt 90+9x-19+111+5x+8+128+7x+3=720[/tex]
[tex]\tt 2x+321=720[/tex]
[tex]\tt 21x+321-321=720-321[/tex] ( Subtract 321 from both sides)
[tex]\tt 21x=399[/tex] (Simplify)
[tex]\tt \cfrac{21x}{21}=\cfrac{399}{21}[/tex] ( Divide both sides by 21)
[tex]\tt x=19[/tex]
Therefore, m∠v=19
____
An African bush elephant weighs 5½ tons. How many pounds does this elephant weigh?
HELP GUYS!
Answers
Answer:
11000 pounds
Step-by-step explanation:
1 US ton=2000 pounds
multiply the mass value by 2000
5.5ton x 2000pound
=11000pounds
pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?
1 3/10 miles
1 7/10 miles
4 miles
1 1/2 miles
Answers
17/10 miles
1/5*1+1/2*3=3/2+14/10=17/10
Answer:
1/5+3/2=2/10+15/10=17/10
Work out size of angle x
Answers
Answer:
x=120°
Step-by-step explanation:
120×2=240
360-240=120
x=120
Answer:
Angle x = 120 Degrees
Step-by-step explanation:
Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees
e.g. Triangle have 3 sides
3 - 2 = 1
1 X 180 = 180
A Triangle has a total of 180 Degrees
Total Interior angle of a hexagon = 720 Degrees
Interior angle of a regular hexagon is 720 / 6 = 120
360 Degrees in a circle
360 - 120 - 120 = 120
The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answers
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 m