Answer:
They are both correct in special cases of a rectangle and rhombuses
Step-by-step explanation:
A square is quadrilateral, with four equal sides and four equal interior angles of 90°
A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore, a square is a special case of a rectangle with all the sides equal
A rhombus is also a equilateral quadrilateral with having equal opposite angle.
Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.
Q23. Which property is reflected in the following:
7 x 5=5 X 7
(a) Closure
(b) Commutative
Associative
(d) Distributive
Answer:
B.) Communative
Step-by-step explanation:
The communitive property is when changing the order of the operands does not change the result. For this equation if you had it as 7 * 5 it would equal 35 and when it is 5 * 7 it would still equal 35.
Boat A is 20 km from port on a bearing of 025° and boat B is 25 km from port on a bearing of 070°. Boat B is in distress. What bearing should boat A travel on to reach boat B?
Answer: Boat A should travel 152.8° to reach B
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. Triangle ABP is formed. A represents the position of boat A. B represents the position of boat B. P represents the position of the port.
We would determine AB by applying the law of cosines
AB² = AP² + BP² - 2AP×BPCosP
AB² = 20² + 25² - 2 × 20 × 25 × Cos45
AB² = 1025 - 707.10678 = 317.89322
AB = √317.89322 = 17.83
We would determine the bearing of B from A by finding angle A. We would apply the sine rule.
AB/SinP = AP/Sin A
17.83/Sin45 = 20/SinA
Cross multiplying, it becomes
17.83 × SinA = 20Sin45 = 14.14
SinA = 14.14/17.83 = 0.79
A = Sin^-1(0.79) = 52.2°
The total angle at A is 65 + 52.2 = 117.2°
The angle formed outside the third quadrant is 117.2 - 90 = 27.2°
Therefore, bearing B from A is
180 - 27/2 = 152.8°
evaluate tan 60/ cos 45
Answer:
0.60922709536
Step-by-step explanation:
not sure if this is what you are looking for????
√6
im putting yall on folks
Multiply Decimals - Tutorial - Level E
Choose the correct product.
3.2 x 8.54 = ?
2732.8
2.7328
273.28
27.328
If α and β are the zeros of quadratic polynomial x2 + 3x - 2, find the value of α3 + β3.
Answer:
[tex]\alpha + \beta = -3/1 = -3 \\ \alpha \beta = -2/1 = -2[/tex]
[tex]\alpha ^3 + \beta ^3[/tex]
[tex](\alpha + \beta )^3 - 3\alpha\beta (\alpha + \beta ) \\ (-3)^3 - 3(-2)(-3) \\ -27 - 18 = -45[/tex]
Evaluate f(x) = –4x – 5 for x = –1. –9 –1 4 1
Answer:
f(-1) = -1
Step-by-step explanation:
f(x) = –4x – 5
Let x = -1
f(-1) = -4(-1) -5
= 4 -5
= -1
Arthur starts his first workout routine by doing 10 push-ups. Each workout after the first, he plans to do 2 more push-ups than in the previous workout. By his 20th workout, how many total push-ups will Arthur have done?
Answer:
50
Step-by-step explanation:
10 + (20x2) = 50
The volume of a cube is 500 cubic feet. What is the length of each edge of the cube?
Answer:
About 7.94
Step-by-step explanation:
The formula to find the edge of each side is V^1/3. And 500^1/3 is about 7.94
Answer:
i keep getting a different answer every time _-_ I'M LOSING MY MIND!!!
PLEASE HELP!
Referred to the figure below to complete the following items.
Given: quadrilateral ROSE is trapezoid with median MN.
If RO = 10 and ES = 6,
then MN =
A. 7
B. 8
C. 9
Answer:
The measure of [tex]MN[/tex] :
[tex]MN = 8[/tex]
Step-by-step explanation:
To find the measure of [tex]MN[/tex], add the measure of [tex]RO[/tex] and [tex]ES[/tex] together and divide it by 2 to get the actual measure of [tex]MN[/tex]:
[tex]RO =[/tex] 10
[tex]ES =[/tex] 6
[tex]MN =[/tex] unknown
-Finding the measure of [tex]MN[/tex]:
[tex]10 + 6 = \frac{16}{2} = 8[/tex]
[tex]MN = 8[/tex]
So, the measure of [tex]MN[/tex] would be [tex]8[/tex] .
What are the values of a, b, and c in the quadratic equation 0 = x - 3x – 2?
O : 36 = 3, c= 2
0 8 = 7 / 0 = -3, c= -2
O = 3,0 = 3,C= -2
O a = b = -3,c=2
Answer:
The values of a,b and c are 1, -3 and -2 respectively.
Step-by-step explanation:
The general form of quadratic equation is given by :
[tex]ax^2+bx+c=0[/tex] .....(1)
Here, a,b and c are constants
The given equation is :
[tex]x^2-3x-2=0[/tex]
We can also write the above equation as :
[tex]x^2+(-3x)+(-2)=0[/tex] ....(2)
If we compare equation (1) and (2), we get :
a = 1
b = -3 and
c = -2
So, the values of a,b and c are 1, -3 and -2 respectively.
Answer:
i think its option B
Step-by-step explanation:
i dont know if its right or not sorry but hope this helps :)
solve 5^(3x-9)-10=-2
Give the exact solution and an approximate solution to three decimal places.
x = (blank) ≈ (blank)
Answer:
x = 3.431
Step-by-step explanation:
Given equation is,
[tex]5^{(3x-9)}-10=-2[/tex]
[tex]5^{3x-9}-10+10=-2+10[/tex]
[tex]5^{3x-9}=8[/tex]
By taking log on both the sides of the equation,
[tex]\text{log}(5^{3x-9})=\text{log}8[/tex]
(3x - 9)log5 = log8
3x - 9 = [tex]\frac{\text{log}8}{\text{log}5}[/tex]
3x - 9 = 1.292
3x = 9 + 1.292
x = [tex]\frac{10.29202}{3}[/tex]
x = 3.4306
x ≈ 3.431
On dividing -8016 by x, the value obtained is -16. Find the value of integer x.
Answer:
x=501
Step-by-step explanation:
so to find x we take -8016 divide by -16 which equal 501
The required value of x when dividing -8016, the value obtained is -16, is 501.
On dividing -8016 by x, the value obtained is -16. Find the value of integer
What is simplification?In mathematics to operate and interpret the function to make function simple or more understandable called simplification.
Here,
-16 = -8016/x
x = 8016/16
x = 501
Thus, the required value of x when dividing -8016, the value obtained is -16, is 501.
Learn more about simplification here:
https://brainly.com/question/12501526
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A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. The formula for volume of a prism is V = Bh. The variable B stands for the . In this prism, B equals in.2. The variable h stands for . In this prism, h is in. The volume of the prism is in.3. This question is from e2020
Answer:
Variable B is the area of triangular base.
B = 38.5 [tex]in^{2}[/tex].
Variable h is the height of pyramid.
In the given prism, h is 9 inches.
The volume of prism is 346.5 [tex]in^{3}[/tex].
Step-by-step explanation:
Please refer to the attached image for the detailed labeling of all the sides.
[tex]\triangle ABC[/tex] is the triangular base of the prism.
BC is the base of triangular base of the prism.
AP is the height of triangular base.
Area of triangular base is represented by B and is calculated by following formula of area of a triangle.
[tex]Area = \dfrac{1}{2} \times \text{Base}\times \text{Height}[/tex]
[tex]\Rightarrow \dfrac{1}{2} \times 11 \times 7\\\Rightarrow 38.5\ in^{2}[/tex]
Hence, B = 38.5 [tex]in^{2}[/tex].
Height of prism, h = 9 in
h is represented as side BE in the attached image.
It is know that volume of prism is given as :
V = Bh
Putting values of B and h:
[tex]V = 38.5 \times 9\\\Rightarrow V = 346.5\ in^{3}[/tex]
Answer:
The formula for volume of a prism is V = Bh.
The variable B stands for the ✔ area of the base.
In this prism, B equals ✔ 38.5 in.².
The variable h stands for ✔ height.
In this prism, h is ✔ 9 in.
The volume of the prism is ✔ 346.5 in.³.
Explanation:
The answer above mine is correct. I hope this helps!
Complete this section.
Answer:
1: [tex] \frac{7}{4} [/tex]
2: [tex] \frac{17}{6} [/tex]
3: [tex] - \frac{31}{3} [/tex]
4: [tex] - \frac{49}{10} [/tex]
5: [tex] \frac{197}{24} [/tex]
Everything thanks appreciate it
Answer:
433
Step-by-step explanation:
Break apart into 3 hundreds, 1 ten, and 2 ones.
745 - 300 = 445
445 - 10 = 435
435 - 2 = 433
What is the slope of the line that passes through the points (2, -4) and
(5, -6)?
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Slope = [tex]Slope = \frac{y 2 - y1}{x2 - x1}[/tex]
lets assume is assume that (x1,y1) are (2,-4)
and (x2,y2) are (5,-6)
Substitute them into the equation and you will get 2/3
Hope this helps
Answer:
(2, -4) and (5, -6)
m = y2 - y1 / x2 -x1
m = -6 + 4 / 5-2
m = -2 / 3
Step-by-step explanation:
1. label the ordered pairs xs and ys
2. write down the slope formula
3. replace the xs and ys by their values
4. add and/or subtract
5. slope is -2/3
Please help me now plz help I will mark you brainliest
Answer:
I think the answer is (-3, -3)
Process:
[tex]\frac{3}{4}[/tex] [6 - (-6)] = -3
[tex]\frac{3}{4}[/tex] [(-6) - (-2)] = -3
what is the answer -
Answer:the probability is 6/10 or 3/5
Step-by-step explanation:
Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?
Answer:
C
Step-by-step explanation:
Took the test
Given the net with dimensions below, find the surface area of the shape.
6 ст
3 cm
4 cm
Answer:
108cm^2
Step-by-step explanation:
SA=2(6x3)+2(6x4)+2(3x4)
= 108cm^2
Answer:
i dont understand your question
1180:21 pleas help
brainly!
A bowl of fruit is on the table. It contains 3 apples, 2 oranges, and 5 bananas. Ethan and Jordan arrive home from school and randomly grab one fruit each. What is the probability that both grab an apple?
show work pls thanks!
Answer:
1/15
Step-by-step explanation:
There are a total of 10 fruits, 3 of which are apples.
The probability that the first selection is an apple is 3/10.
There are now 9 fruits remaining, 2 of which are apples. So the probability that the second fruit is an apple is 2/9.
The total probability is (3/10) (2/9) = 1/15.
Your total cost for lunch is $18.50 for food and $1.48 for tax. A. Find the percent of sales tax on the food total. B. Find the amount of an 18% tip on the food total.
Answer:
A: 8% B: $3.33
Step-by-step explanation:
A: divide the tax by the total cost
B: divide the total cost without tax by 100, then multiply by 18
The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, point, 5, right parenthesis, squared, plus, left parenthesis, y, minus, 3, point, 5, right parenthesis, squared, equals, 16 What is its center? ((left parenthesis ,,comma ))right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The radius is 4 units long.Step-by-step explanation:
The given equation is
[tex](x-0.5)^{2} +(y-3.5)^{2} =16[/tex]
This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.
You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have
[tex]r^{2} = 16\\r=\sqrt{16}\\ r=4[/tex]
Therefore, the radius is 4 units long.
Betty saves $161 a month. She saves $141 less each month than Jack. How much will jack save in 2 years?
Given that Betty saves $161 per month which is $141 less than Jack per month. find the amount that Jack will save in 2 years.
First, find how much Jack saves. We can do this buy adding 141 to 161 since Betty saves 141 less meaning we can reverse it by adding it.
141 + 161 = 302
Now, that we know how much Jack saves per month.
Then, we have to find out how many months are in 2 years.
We already know that there is 12 months in a year, so for 2 years, we can simply multiply by 2.
12 x 2 = 24
Therefore, there are 24 months in two years.
Lastly, multiply 24 months by the amount that Jack saves to get the amount in total.
24 x 302 = 7,248
Thus, Jack will save approximately $7,248 in 2 years.
Answer:
Jack will save $7248 in 2 years.
Step-by-step explanation:
Because we know that Betty saves $161 a month, but it's $141 less than Jack saves each month.
Adding $141 to $161 let's us know how much Jack saves.
$141 + $161 = $302
Jack saves $302 each month.
There are 24 months in 2 years.
$302 × 24 = $7248.
Hope that helped!
marking braineist!!!
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3
how many 1/3 fraction unit cubes does it take to fill the prism?
Answer:
36 cubes
Step-by-step explanation:
Im pretty sure that you have to divide 4 by 1/3*1/3, so 4÷1/9 which is 36 do keep change flip to get 4/1 * 9/1 and multiply 4 by 9 to get 36/1 which is 36. I hope this helps
Sorry Im making an edit to this, i made a mistake, you have ot find the volume of the mini cube, so the volume would be 1/27 not 1/9 (which is the area) so the answer would be 108 sorry again
A rectangular prism has sides of 4 cm, 2.5 cm, and 5.5
cm. The figure is dilated by a scale factor of 3.
4 cm
What is the volume of the new prism?
cm.
What can be concluded about the effect of the change
on the new volume?
The new volume is times the original volume.
2.5 cm
5.5 cm
Answer:
What is the volume of the new prism? 1,485 cm^3
The new volume is 27 times the original volume
Step-by-step explanation:
I got it right on ed 2020
Answer:
A rectangular prism with length 5.5 centimeters, width 2.5 centimeters, and height 4 centimeters.
A rectangular prism has sides of 4 cm, 2.5 cm, and 5.5 cm. The figure is dilated by a scale factor of 3.
What is the volume of the new prism?
✔ 1,485
cm3.
What can be concluded about the effect of the change on the new volume?
The new volume is
✔ 27
times the original volume.
Step-by-step explanation:
which polynomial has a leading coeficient of 4 and a degree of 3
Answer:
The answer is "[tex]\bold{4x^3+x^2+2}[/tex]".
Step-by-step explanation:
Some information which is choices is missing in the given question, so the correct choice can be described as:
The degree of the polynomial relates to its maximum "x" power, which occurs in the equation. Its leading coefficient shows the number until the "x" max power, that's why the equation "[tex]4x^3+x^2+2[/tex] " is the correct answer to this question.Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
10 cm * 6 cm = 60 cm²
Step-by-step explanation:
There is a formula to calculate thevarea.
Tthe area of a rectangular (flat) surface is length * width.
If the length is 10 cm and the width is 6 cm then you have found your answer just by substituting those numbers.
Please also note the proper unit of the area, which is in this question defined in square cm. You can easily see why, because cm * cm results in cm². Mathematics (and physics) is wonderful !
In your piggy bank, you have 15 quarters, 2 dimes, 1 nickel and 32 pennies. You tip the bank, and out rolls one, then another , then another coin. Find the probability that the coins came out as the follows:
a) 1 penny, 1 quarter, 1 dime
b) 1 penny, 1 quarter, 1 penny
Please show work. Thank You!
Answer:
B) Is the answer.
Step-by-step explanation:
If you have 15 quarters and 32 pennies, you have more than twice the amount of pennies that you do quarters. There is a small chance that it could be a dime or a nickel but this is unlikely. The chance of a quarter and penny falling out is much greater than a dime or nickle.