Answer:
375 cm2
Step-by-step explanation:
The new area of the triangle will be 187.5 square centimeters.
Explanation:To find the area of a triangle, you can use the formula A = ½ x base x height. Given that the area of the triangle is 15 square centimeters, we can set up the equation as 15 = ½ x base x height. We are told that all the dimensions of the triangle are multiplied by 5, so the new base and height will be 5 times the original dimensions. Substituting these values into the equation, we get 15 = ½ x (5 x base) x (5 x height). Simplifying the equation, we have 15 = 12.5 x base x height.
Therefore, the new area of the triangle is 12.5 times the original area, which is 15 x 12.5 = 187.5 square centimeters.
next question
what is 5+5x245x100-150x10000000000?
Answer:
cant get an exact answer this is the best ur gonna get 3.675e+17
Step-by-step explanation:
What in between 7/16 and 9/16
Answer:8/16
Step-by-step explanation.
We have two numbers 7/16 and 9/16. Since they both have the same denominator, and the numerators are 7 and 9. The number between 7 and 9 is 8 which gives 8/16
The volume of the cone
Answer:
150.8
Step-by-step explanation:
Find the two angles that satisfy the equation. sin(3x + 2)° = cos(x+44)°
Answer:
x=21
Step-by-step explanation:
3x+2=x+44
3x+2-2=x+44-2
3x=x+42
3x-x=x+42-x
2x=42
42/2x
Answer:
35°, 55°
Step-by-step explanation:
sin(3x + 2)° = cos(x+44)°
Since sine and cosine are based upon right triangles, the two angles must add up to 90°. Thereby, 3x+2 + x+44 = 90. Combine like terms to get:
4x + 46 = 90 subtract 46 from both sides
-46 -46
4x = 44 divide both sides by 4
4 4
x = 11 plug that back into both angles
3(11) + 2 = 35; 11 + 44 = 55
Is x2 + 7x + 49 a perfect square trinomial?
Answer: yes it is a perfect square trinamial
A regular pentagon and a rectangle have the same perimeter. The width of the rectangle is 10 more than its length
The length of the rectangle and the side of the pentagon are equal. What can be concluded about what is needed to
write an equation? Check all that apply.
Answer:
If we use the variable l for length, then the width is l + 10.
A key phrase is “same perimeter.”
A key word is “equal” when referring to the length of the two shapes.
Step-by-step explanation:
i did the problem on online school
An equation to represent the given situation is 4x+20=5x+50.
Given that, a regular pentagon and a rectangle have the same perimeter.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the length of a rectangle be x.
Then, the width of the rectangle is 10 more than its length be x+10.
The length of the rectangle and the side of the pentagon are equal.
So, the side of the pentagon = x+10
Now, the equation is 2(x+x+10)=5(x+10)
⇒ 2(2x+10)=5(x+10)
⇒ 4x+20=5x+50
Therefore, an equation to represent the given situation is 4x+20=5x+50.
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Which expressions are equivalent to 4(4a+5)4(4a+5)4, left parenthesis, 4, a, plus, 5, right parenthesis ?
Answer:
If you solve it, it would be 16a+20, but which expressions are you talking about?
Answer:
Step-by-step explanation:
What is the value of x in the equation 5x+3 - 4x?
5x + 3 - 4x = 0
x + 3 = 0
x = -3
Hope this helps :)
The height of an object seconds after it is launched is modeled by the function h(t)=-4t^2+16t+180. When will the object hit the ground?
Answer:
9 seconds after the object is launched
Step-by-step explanation:
The function models the height of the object as a function of the time after the object is launched. Therefore h(t) will be zero, and you will solve for t like a normal quadratic equation.
0 = -4t² + 16t + 180
First, you can factor out the -4 from all the terms.
0 = -4(t² - 4t - 45)
Next, factor what is inside the parentheses
0 = -4 (t + 5) (t - 9)
Then you set each of the factors individually to zero and solve
t + 5 = 0 and t - 9 =0
From this we get that time is:
t = -5 and t = 9
Now that time cannot be negative, we figure out that the time is 9 seconds, therefore the object will hit the ground after 9 seconds.
What is the gcf 12x^5 8x^3
Answer:
So, the GCF of 12x^5 and 8x^3 is 4x^3.
Step-by-step explanation:
To find the greatest common factor (GCF) of 12x^5 and 8x^3, you can break down each term into its prime factors and then identify the common factors:
12x^5 = 2^2 * 3 * x^5
8x^3 = 2^3 * x^3
Now, identify the common factors is this :
The common factor of 2^2 (4) and 2^3 (8) is 2^2 (4).
The common factor of x^5 and x^3 is x^3.
So, the GCF of 12x^5 and 8x^3 is 4x^3.
The GCF of 12x^5 and 8x^3 is 4x^3.
Explanation:The GCF (Greatest Common Factor) of 12x^5 and 8x^3 can be found by factoring out the common factors of the two terms. In this case, the common factor between the two terms is 4x^3.
To find the GCF, we need to find the highest power of x that can be divided into both terms: 12x^5 and 8x^3. Since 4x^3 is the highest power of x that can be divided into both terms, it is the GCF.
Therefore, the GCF of 12x^5 and 8x^3 is 4x^3.
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If 1 pound of pecans costs 30y cents, what is
the cost of 7x pounds of pecans?
Answer:
210 cents or $2.10
Step-by-step explanation:
30 x 7 = 210
What is the volume of the composite figure shown below?
2 rectangular prisms. One prism has a length of 13 millimeters, width of 12 millimeters, and height of 12 millimeters. The other prism has a length of 15 millimeters, width of 12 millimeters, and height of 3 millimeters.
1,008 millimeters cubed
2,412 millimeters cubed
2,880 millimeters cubed
3,465 millimeters cubed
Answer:
2412 mm³
Step-by-step explanation:
It's two rectangular prisms.
Let's start with the formula for volume --> V = Bh
Top prism
V = Bh
V = (13*12)(12)
V = (156)(12)
V = 1872 mm³
Bottom prism
V = Bh
V = (15*12)(3)
V = (180)(3)
V = 540 mm³
Now add them both together and you get 540 + 1872 = 2412 mm³
The volume of the composite figure shown below is,
⇒ 2412 mm³
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
Given that;
Two rectangular prisms are shown.
Since, The formula for volume of Cuboid is,
⇒ V = Bh
Hence, For Top prism;
V = Bh
V = (13×12)(12)
V = (156)(12)
V = 1872 mm³
And. For Bottom prism;
V = Bh
V = (15×12)(3)
V = (180)(3)
V = 540 mm³
Thus, The volume of the composite figure shown below is,
⇒ 540 + 1872 = 2412 mm³
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If you roll a six sided die six times What is the best prediction possible for the number of times you will roll an even number?
Answer:
it is a 3/6% chance to get an even and it is also depends on your luck
Step-by-step explanation:
Help me ASAP!!!! Please give me the write answer!!!!!
Answer:
21
Step-by-step explanation:
69+21=420
a pair of dice is rolled, what is the probability of not rolling doubles?
Answer: There are only four ways. As a result, the probability is 4/36, or 1/9.
Step-by-step explanation: There are 36 possible ways to roll a pair of six-sided dice: six possibilities for the first die, times six for the second.
Answer:
here are only four ways. As a result, the probability is 4/36, or 1/9.
Step-by-step explanation:
Question 3
Which of the following are solutions of the
equation represented by the graph?
Mark all that apply answer
0,1
2,4
-4,1
-1,2
3,8
1,0
Answer:
0,1
2,4
3,8
Are all the solutions that apply to the graph
Step-by-step explanation:
What is the correlation for the data
Explanation of correlation coefficient, its significance in determining relationship strength between variables, and how to interpret its value.
The correlation coefficient provides a measure of how strongly two variables are related in a linear manner. It ranges from -1 to 1, where 1 represents a perfect positive correlation, -1 a perfect negative correlation, and 0 no correlation.
A correlation coefficient close to 1 or -1 indicates a strong relationship, while a coefficient close to 0 indicates a weak or no relationship. This numerical value helps determine how predictable changes in one variable are as the other variable changes.
Interpreting the correlation coefficient assists in understanding the strength and direction of the relationship between variables, aiding in making predictions or drawing conclusions based on the data's patterns.
11. Solve: K + 5 < -3
Answer:
[tex]k < -8[/tex]
Step-by-step explanation:
Step 1: Subtract 5 from both sides
[tex]k + 5 < -3[/tex]
[tex]k + 5 - 5 < -3 - 5[/tex]
[tex]k < -8[/tex]
Answer: [tex]k < -8[/tex]
Answer:
K < -8
Step-by-step explanation:
K + 5 < -3
Subtract 5 from each side
K + 5-5 < -3-5
K < -8
Which statement about the scenario represented in the table is true? Assume time is the independent variable
Answer:B
Step-by-step explanation:
Answer: B on edg 2020
Step-by-step explanation:
The ship Mark travels from Halo dock to Oregon dock in Liverpool. At the same time, a ship called Annie travels from Oregon dock to Halo dock. Annie is 12MPH faster than Mark. They pass by each other 15 minutes after departure. (A) What are the speeds of the ships, if the docks a 5 miles apart (B) How far did each ship sail before they met? (Mind the units)
Answer:
A) Mark speed = 7mph Annie speed is 1.2miles faster at 8.2mph
B) Mark had sailed ratio to Annie 17.5: 20.5
= 3mph faster in 15 minutes This makes it 12mph faster every 5 hrs
The percentage speed of Mark is 83% of 100% of Annie.
This makes Annie 7% faster
7% of 7mph = 1.2 so it has to be 1.2miles faster and not 12mph faster to meet at 15minutes.
Step-by-step explanation:
Annie is 12mph faster they pass 15mins after departure
= 0-15= Annie is 4mp faster than Mark at 15mins.
Annie = 5 miles = m+60m = 60 this makes mark 5.6 : 6 ratio per 15 minutes 28:30 = 1.4 : 1.5 ratio at 15 minutes.
Mark = 5 miles = 5 x 1.4 =7mph + 0m = 7mph
Annie = 5 miles = 5 x 1.5 = 7.5mph + 7 = 8.2mph
A=We can check that 1/4 of 8.2mph distance = 2.5 per 15mins
M=We can check that 1/4 of 7.0mph distance = 1.75 per 15mins
A=We can check that 2.05 per 15mins = 2.5 x 4 = 8.2 mph = 41miles in 5 hr
M=We cna check that 1.75 per 15mins = 1.7 x 4 x 5= 7mph = 35 miles every 5hr
Solve the following system of equations using the substitution method.
x=2y
2x+5y=9
x=
and
y=
Answer:
9, -2
Step-by-step explanation:
right on edg 2020
Use the net to find the surface area of the prism.
___ ft squared
Answer:
I think it is 216 square feet.
Step-by-step explanation:
Formula for surface area is: 2B + Ph (where B is the area of the base, h is the height and P is the perimeter of the base)
2 * 60 + 32 * 3
120 + 96
216 ft
A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere?
Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
[tex]V=\pi r^2h[/tex]
Substitute the given values.
[tex]48=\pi r^2r[/tex] (since r = h)
[tex]48=\pi r^3[/tex]
[tex]48=3.14 \times r^3[/tex]
Divide by 3.14 on both sides.
[tex]$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}[/tex]
[tex]$15.28=r^3[/tex]
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
[tex]$V=\frac{4}{3} \pi r^3[/tex]
[tex]$V=\frac{4}{3} \times 3.14 \times (2.48)^3[/tex]
[tex]V=63.85[/tex]
The volume of the sphere is 63.85 cm³.
Can u show me how to simply this step by step please? This is very important. HELP!!!!!
Given:
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]
To find:
The simplified expression.
Solution:
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]
Apply the fraction rule: [tex]\frac{\frac{y}{z}}{x}=\frac{y}{z \cdot x}[/tex]
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}=\frac{a^{2}-b^{2}}{a b\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex] ------------ (1)
Let us simplify [tex]\frac{1}{b}-\frac{1}{a}[/tex].
LCM of a and b = ab
Adjacent fraction based on the LCM
[tex]\frac{1}{b}-\frac{1}{a}=\frac{a}{a b}-\frac{b}{a b}[/tex]
[tex]=\frac{a-b}{a b}[/tex]
Substitute this in equation (1).
[tex]$=\frac{a^{2}-b^{2}}{\frac{a-b}{a b} a b}[/tex]
Common factor ab get canceled.
[tex]$=\frac{a^{2}-b^{2}}{a-b}[/tex]
Apply the algebraic formula: [tex]x^{2}-y^{2}=(x+y)(x-y)[/tex]
[tex]$=\frac{(a+b)(a-b)}{a-b}[/tex]
Cancel the common factor a - b, we get
[tex]=a+b[/tex]
The simplified expression is a + b.
HELP ASAP PLEASE!!!!!!!!!!
4 1/2+ 1 1/3 + 6 1/3=
Answer:
44/1/2
Step-by-step explanation:
g(x) = 3x - 5 h(x) = 4x - 2 Find (g + h)(8)
Answer:
49
Step-by-step explanation:
g(x) = 3x - 5
h(x) = 4x - 2
(g + h)(8)
g(8) + h(8)
solve for g(8)
g(x) = 3x - 5
g(8) = 3(8) - 5
g(8)= 24-5
g(8)= 19
solve for h(8)
h(x) = 4x - 2
h(8) = 4(8) - 2
h(8)= 32-2
h(8)=30
plug in
g(8) + h(8)
19+30
49
Hope this helps!
The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5. What is the probability that a randomly selected score on the verbal section is higher than 165?
Answer:
0.039
Step-by-step explanation:
There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165
What is z score?
The z score is used to show by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given that mean of 150 and a standard deviation of 8.5. Hence:
For x > 165
z = (165 - 150)/8.5 = 1.76
P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394
There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165
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Can someone help please AC line ? Maximum 56 points.
Answer:
18.1 cm
Step-by-step explanation:
Consider a segment parallel to CD and passing through B.
This segment will form a right-angle triangle with A
It's length would be equal to the length of CD (the missing length)
Height of that triangle:
11 - 4 = 7
CD² = 16² - 7²
CD² = 207
CD = sqrt(207)
AC² = AD² + CD²
AC² = 11² + 207
AC² = 328
AC = 2sqrt(82)
Which is roughly 18.1 cm
If r(x) = 4x2 – 3x + 7, find r(3a2)
Look at the attached picture⤴
Look at the attached picture⤴Hope it will help u....:)