The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answers
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
To learn more about the triangle visit;
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Related Questions
The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3
Answers
Answer:
-3
Step-by-step explanation:
Answer:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
answer -3
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answers
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
If you roll a standard six sided dice, what is the probability you will roll a four?
Answer using a simplified fraction.
Answers
Answer:
1/6
Step-by-step explanation:
There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6
What is the difference of 1 and 1/3 and 5/6??
Answers
Answer:
By using cross multiplication method, 1/2 is the difference between two fractions 5/6 and 1/3.
Step-by-step explanation:
Answer:
0.5
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3}- \frac{5}{6}=\frac{1}{2}[/tex]
0.5
8 X 10-3 is how many times as great as 4X 10-6
Answers
Answer:
[tex]2X10^{3}[/tex]
Step-by-step explanation:
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answers
The correct answer is 14.
Answer? ................,,,,,,
Answers
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
GUYS HELP ME There are 6 classes on a field trip . Each class has 28 students and 7 adults going on the field trip they are all traveling by van. Each van holds 9 passengers. What is the fewest number of vans they will need ?
Answers
Answer:
24
Step-by-step explanation:
Total number of students and adult per class = 28 + 7 = 35
Van capacity = 9
Number of classes = 6
Total number of students including adults = (35 * 6) = 210
Number of vans needed = total / van capacity
= 210 / 9
= 23.333
Atleast 24 vans
Need help
Write a variable expression for the word phase
Nine more than a number y
Answers
Answer:
y + 9
Step-by-step explanation:
Answer:
y+9
Step-by-step explanation:
9 more means that you are adding 9 to y. As such, y+9 would mean that you are adding 9 to the number y.
yoo please help me out
Answers
Answer:
70
Step-by-step explanation:
U do 17 x 22 divided by 2 equals 187
Find the measure of each numbered angle or are.
Answers
Answer:
<2 = 133degrees
<1 = 135degrees
Step-by-step explanation:
From the diagram, the angle <2 and 47 are supplementary, hence;
<2 + 47 = 180
<2 = 180 - 47
<2 = 133degrees
To get <1;
47 = 1/2(<1 - 41)
47 * 2 = (<1 - 41)
94 = <1 - 41
<1 = 94 + 41
<1 = 135degrees
the variables height and weight could reasonably be expected to have a positive linear correlation coefficient, since taller people tend to be heavier, on average than shorter people. Give an example of a pair of variables which you would consider to have a negative linear correlation and explain why. Then give an example of a pair of variables whose linear correlation coefficient is likely to be close to zero
Answers
Answer:
i) Speed and travel time
ii) Coffee and car
Step-by-step explanation:
i) Example of a pair of variable that have a negative Linear correlation
A negative correlated pair of variables simply means that the variables are inversely proportional to each other .and an example of such pair of variables is
Speed and Travel Time
Increase in speed causes a decrease in travel time. ( because the faster a car travels the shorter the travel time spent by the car while the slower a car travels the longer the travel time spent by the car )
ii) Example of a pair of variable with no linear correlation ( almost zero )
A close to zero linear correlation shows that there i no actual relationship between the variables.
Coffee and car
Increase or decrease in the cost of coffee will have no significant effect ( either negative or positive ) on the price of cars in the open market.
3
Select the correct answer from the drop-down menu.
Find the missing term.
) + (7 - 31) + (5 +91) + 131 = 10 - 51.
Reset
Next
Answers
Random text Random text
Plz help no links :)
Answers
Answer:
C) f(x) = 6.25x + 3
Step-by-step explanation:
In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be
f(x) = 6.25x + 3
We can input the # of candies for x and see that it provides the exact results every time as seen in the table.
f(x) = 6.25(1) + 3 = 9.25
f(x) = 6.25(2) + 3 = 15.50
f(x) = 6.25(3) + 3 = 21.75
f(x) = 6.25(4) + 3 = 28
please help with this practice sheet my parents gave me (show work pls)
Answers
Answer:
Answer:
Volume of cylinder =πr²h=π×4²×5=80π m³
=251.2m³
Volume of cuboid=l*b*h=7*3*2=42in³
Volume of cone =(⅓πr²h)+(⅓πr²h)⅓π×(6/2)²(12+8)=60πft³=188.4ft³
By visual inspection, determine the best fitting regression model for the scatter plot
Answers
Answer
Exponential
Step-by-step explanation:
(Help please !)
Of the total babies born in America, 51.2% are boys. If 3000 babies are born in a certain hospital this year, what is the expected number of boys?
Answers
Answer:
1536 boys.
Step-by-step explanation:
Quite simple! 51.2% is 0.512, which we can use to calculate the number.
[tex]3000 * 0.512 = 1536[/tex] boys.
Alternative notation: 3000 * 51.2% = 1536
A cylinder has a volume of 659.4 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder?
(Assume = 3.14)
A.
42 cm
B.
2.1 cm
C.
8.4 cm
D.
21 cm
Answers
The height is 8.4.
Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).
Which equation is equivalent to the given equation?
-4(1 – 5) + 8x = 9x - 3
Answers
Answer: Hello Luv........
Isolate the variable by dividing each side by factors that don't contain the variable.
x=19
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
P(x,y) reflection in x=y line
Answers
Answer:
P(x,y) reflection in x=y line:(y,x)
write this in exponential form
a×b×a×b×a
Answers
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
Solve for x
Please I need help
Answers
Answer:
x=25
Let's solve your equation step-by-step.
3x+18=93
Step 1: Subtract 18 from both sides.
3x+18−18=93−18
3x=75
Step 2: Divide both sides by 3.
3x/ 3 = 75/ 3
x=25
Answer:
x=25
pls help this stuff is so hard to understand
Answers
Answer:
y = 0.5 (2)^x
Step-by-step explanation:
3rd option
you can plug in a coordinate point like (2, 2) to check this.
Find the answer for x
Answers
Answer:
I think the answer is 75.
Step-by-step explanation:
because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.
Answer this simple quick question!! Pls :) m
Answers
Answer:
Answer is B!
Step-by-step explanation:
58 * 20 = 1160
0+160= 160
160+1000=1160
Answer:
B
Step-by-step explanation:
58 * 20 is 1160 and 0 + 160 + 1000 = 1160
I forgot to put the whole i-ready question ;_;
pls my brain is about to explode to oblivion...
(p.s I'm spending so much points)
Answers
Answer:
Dude, that’s hard!
Step-by-step explanation:
How do we solve for x
Answers
Answer:
Use Cross product Or Multiply both sides by 6 to get x alone
x/6 = 4/5
Multiplying 6 on both sides
we have
x=4/5 x 6
x=24/5 = 4.8
If Sn=2^n-1
what's the expression of
Sn-1?
Answers
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
need ko na po this now
please answer this question
thank you po
Answers
Answer:
B.
Step-by-step explanation:
Use the compass and ruler to construct the bisector of the angle given below.
Answers
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
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