Area of semicircle =
[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]
Area of the given semicircle = 1232 cm^2
[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]
[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]
Hence, the diameter of the circle is 56cm
A shipping company sells a rectangular box with dimensions of 12
inches by 12 inches by 18 inches. Find the length of the longest
diagonal in the box.
24.7.
24.8
O 288
0 612
Answer:
24.7 inches
Step-by-step explanation:
Length = 18 inches
Width = 12 inches
Height = 12 inches
Length of the longest diagonal,d = length^2 + width^2 + height^2
d^2 = 18^2 + 12^2 + 12^2
d^2 = 324 + 144 + 144
d^2 = 612
d = √612
= 24.7 of inches
Length of the longest diagonal in the box = 24.7 inches
What is the solution of 3x + 5 = 2x - 7?
Answer:
Step-by-step explanation:
3x +5 = 2x -7
+7 +7
3x +12=2x
-3x -3x
12= -x
-12 = x
Answer:
This is your answer:
[tex]3 x + 5 = 2x - 7[/tex]
[tex]3x - 2x = - 7 - 5[/tex]
[tex]1x = - 12[/tex]
[tex]x = - 12[/tex]
Hope it helps!!Please mark me as brainliest!!!✨Thanks!!!!☺✨
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What is the missing addend?
52,835 +
= 87,216
Answer: 34,381
Step-by-step explanation:
You have to subtract 52,835 by the sum 87,216 which will get you the answer of 34,381
The missing addend is 34,381.
87,216-52,835=34,381
How many halves are in 19 wholes?
Answer:
38
Step-by-step explanation:
Hope this helps!!
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $23.85 Unfortunately, she breaks 4 more panes while repairing the damage. What is the cost of
another 4 panes of glass?
Answer: 10.60 cents
Step-by-step explanation:
23.85 divided by 9=2.65
2.65 is the cost of each Pane.
So 2.65 x 4= 10.60 cents
Hope this helps!
Your welcome (:
Which value of x satisfies the equation
5/6 (3/8 - x)
= 16
Answer:
[tex]x = - 18.825[/tex]
Step-by-step explanation:
[tex] \frac{5}{6}( \frac{3}{8} - x)
= 16 \\ \frac{(5)(3)}{(6)(8)} - \frac{5x}{6} = 16 \\ 15 - 40x = 768\\ 40x = 15 - 768\\ x = - 18.825[/tex]
The value of x for the equation to be equal is- 40/753
Solution to linear equationGiven the linear equation expressed as:
5/6 (3/8 - x) = 16
Open the parenthesis
5/16 - 5/6x = 16
Collect the like terms
-5/6x = 16 - 5/16
-5/6x = 251/16
Cross multiply
1506x = -80
x = -80/1506
x = -40/753
Hence the value of x for the equation to be equal is- 40/753
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....................solve for x, 3+xc=d
Answer:
[tex]\displaystyle x=\frac{d-3}{c}[/tex]
Step-by-step explanation:
Equation solving
To solve an equation for a specific variable requires isolating the variable by performing the adequate algebraic operations.
Solve for x:
[tex]3+xc=d[/tex]
Subtract 3:
[tex]xc=d-3[/tex]
Divide by c:
[tex]\boxed{\displaystyle x=\frac{d-3}{c}}[/tex]
what is the value of x
Answer:
2.5
Step-by-step explanation:
log8(32^1.5)=2.5
What is 2 /34 × 4/5 plsssss help
Answer:
0.04705882352
Step-by-step explanation:
Yeah, I don't really have an explanation, sorry. I guess you just turn them both into decimals and multiply afterwards.
2/34 x 4/5 = 4/85, or 0.04705882...
I will mark brainliest to whoever helps! :D
Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
f(x) = x^2- 51 when f (-7)
Answer:
f(x)= -2
Step-by-step explanation:
f(x) = x^2- 51
-7^2-51
49-51
-2
f(x)= -2
Which of the following is true about the expression below?
164 + (36 * 192)
G
Answer:
D
Step-by-step explanation:
the addition sign means "more"
Find −6.42+8.25. Write your answer as a decimal.
−6.42+8.25=
PLEASE HELP ASAP I WILL MAKE BRAINLIEST FOR RIGHT ANSWER!
i would like an explanation too please
Answer:
1.83
Step-by-step explanation:
the sign of a number is the sign before a number therefore the sighn of 6.42 is negative(-) and the sign of 8.25 is positive(+) hence the answer is 1.83
Xavier is driving home. He starts 250 miles from home and his car can travel 28 miles per gallon of gasoline he uses. Xavier stops at a rest stop that is 100 miles from home. Let g be the amount or gas he has used at that point. Set up and solve an equation for how much gas Xavier used to get to the rest stop.
Answer:
For 100 miles he uses 3.571 gallons of gasoline.
In equation form it is y/x*100
Step-by-step explanation:
Unitary Method
He travels 28 miles per gallon of gasoline.
For 1 mile he uses 1/28 gallons
For 100 miles he uses 1/28 * 100= 100/28= 3.571 gallons of gasoline.
Let x be the miles and y be the gallons of gasoline used to travel x miles.
Then for 1 mile the gallons of gasoline used will be y/ x gallons.
For 100 miles the gallons of gasoline used will be y/x *100 gallons.
In equation form it is y/x*100 gallons for 100 miles where x is the number of miles and y is the amount of gallons.
Construct a triangle with a 60 degree angle
Answer:
draw a straight line
draw a point and name it A
place your compass at A and expand it to draw an arc
Name point where arch meets the line B
place compass at B and draw arch to pass through the big arc
Draw a line through point of intersection to meet at A
Write the following fraction as a decimal
299 792 458/ 1000000
what is it?
Answer:
0.00333564095
Step-by-step explanation:
1000000/299792458=Answer
3(4x - 5) + 2(11 - 2x) = 43
Answer:
4.5
Step-by-step explanation:
Just distribute the numbers outside the parenthesis and then combine like terms. One thats done solve
Which equation correctly applies the distributive property?
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
Answer:
70.2
Step-by-step explanation:
Anwhat wht
Step-by-step explanation:
ithinkithink ok sure
Find the value of x?
Answer:
x = 94°
Step-by-step explanation:
interior angle sum of any polygon: (s-2)×180°
with s being the number of sides.
since there are 7 sides, 7-2 = 5
5* 180°
900° = total sum
______________________________
since we know the rest of the angles, just subtract the total sum from the sum of the known angles to find the unknown one.
900°-(148°+140°+136°+142°+150°+90°) = x
900°- 806°= 94°
x= 94°
The pre-image and image of what transformation are not congruent?
O A. dilation
O B. reflection
O C. translation .
O D. rotation
Answer:
Option A
Step-by-step explanation:
Options B, C, and D are examples of ridged transformations. Ridged transformations are transformations that keep the pre-image and image congruent.
A dilation would change the actual size of the pre-image to make the image, so they would be not congruent in a dilation.
Hope this helps.
The correct options are Reflection, Translation and Rotation.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Reflection, Translation and Rotation are examples of rigid transformations, and we know that a rigid transformation is a transformation that doesn't change the size or shape of a geometric figure, a special kind of transformation that doesn't change the size or shape of a figure.
There are three different types of transformations: translation, reflection, and rotation.
Whereas,
A dilation would change the actual size of the pre-image to make the image, so they would be not congruent in a dilation, it can enlarge or shrink the image.
Hence, Reflection, Translation and Rotation are the transformation which preserve the preimage.
For more references on transformation, click;
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Which of the following happens when 21.63 is multiplied by 103?
A.The digit in the tens place moves to the hundredths place.
B.The digit in the tens place moves to the thousandths place.
C.The digit in the hundredths place moves to the tens place.
D.The digit in the hundredths place moves to the hundreds place.
-3x-4=-5y-8 what is the y-intercept and x-intercept
Answer:
3/5x + 4/5 = y
or
y = 3/5x + 4/5
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To find the y-intercept just need to put 0 instead of x in the equation.
[tex] - 3(0) - 4 = - 5y - 8[/tex]
[tex] - 4 = - 5y - 8[/tex]
Add sides 8
[tex] -4 + 8 = - 5y - 8 + 8[/tex]
[tex] 4 = - 5y[/tex]
Divide sides by -5
[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]
[tex]y = - \frac{4}{5} \\ [/tex]
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To find the x-intercept just need to put 0 instead of y in the equation.
[tex] - 3x - 4 = - 5(0) - 8[/tex]
[tex] - 3x - 4 = - 8[/tex]
Add sides 4
[tex] - 3x - 4 + 4 = - 8 + 4[/tex]
[tex] - 3x = - 4[/tex]
Negatives simplifies
[tex]3x = 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]
[tex]x = \frac{4}{3} \\ [/tex]
Done...
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your letter grade is a function of your numerical grade. what is the independent variable
Answer:
a function of your numerical grade
Step-by-step explanation:
because the sentence can not stand on its own
help please !
need done before 11:59
I am not 100% sure about this. However, I think the answer is the definition of a midpoint. Because it would make sense that if C is the midpoint of AG then ACM ≅CGP
How many solutions y=5x-4 y=5x-5
Answer:
No solution
Step-by-step explanation:
Any equations with the same slope are parallel, or will never intersect.
In a slope-intercept equation, this would mean the 'm' values are the same.
y = mx + b
Two equations:
y = 5x - 4
y = 5x - 5
Since the two equations given have the same slope, they will never intercept and therefore have no solution.
Translation !! keep getting random people Please only answer if u really know ! Thanks
Answer:
The direction matters , but only in sign... so from A to A' is what i'm guessing is the direction of translation
Step-by-step explanation:
find the vector from A to A' or any of the other non prime to prime points.. the vector will be the same... soooo
take the origin point as P1 , then take the destination point a P2
and subtract P2-P1
P2 = A' = (6,-2)
P1 = A = (2, 1)
(6-2, -2-1) = (4,-3)
your vector can be place at the origin.. and go 4 in the x direction and -3 in the y direction and you get that translation.. make sense?
Q(2, a) is 5 units away from P(–2, –1). Find all possible values of a.
Answer:
a = 2
Step-by-step explanation:
Here, we want to find all the possible values of a
If Q is 5 units away from P, then the distance between Q and P is 5 units
Mathematically, to find the distance between two points, we use the following formula
D = √( (x2-x1)^2 + (y2-y1)^2
So we have ;
D = √(2-(-2)^2 + (a-(-1)^2
D = √(16) + (a + 1)^2
Since D is 5, we have
5 = √(16) + (a +1)^2
Squaring both sides to remove the square root, we have
25 = 16 + (a + 1)^2
(a + 1)^2 = 25 - 16
(a + 1)^2 = 9
(a + 1)^2 = 3^2
Since power is equal, equate base
a + 1 = 3
a = 3-1
a = 2
Express each rate as a unit rate.$8 for 2 pounds of rice
Answer:
$4 for 1 pound of rice
Step-by-step explanation:
8 ÷ 2 = 4
2 ÷ 2 = 1
Hope this helps!
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Answer:
wat we were talking about i didnt turn on my cam bc i dont want some stranger looking at my ugly a*s
Step-by-step explanation:
The track star runs 100m at a rate of 10.4m/s. How long did it take to run 100m?
0.1 m/s
9.65
1040m/s
0.1s
Answer:
Time, t = 9.615 secs.
Explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex] ....equation 1
[tex]Time = \frac{distance}{speed}[/tex] .....equation 2
Given the following data;
Distance = 100m
Speed = 10.4m/s
Substituting into equation 2;
[tex]Time = \frac{100}{10.4}[/tex]
Time, t = 9.615 secs.