This is hard pls help
The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,
[tex]A=15\times8\\A=120\rm\; cm^2[/tex]
All three parts has equal area. Thus, the area of parallelogram NCMA is,
[tex]A_p=\dfrac{120}{3}\\A_p=40\rm\; cm^2[/tex]
MN is the height of the parallelogram. Thus,
[tex]A_p=h\times AS\\40=h\times15\\h=\dfrac{40}{15}\\h=\dfrac{8}{5}[/tex]
Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
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A triangle has sides with lengths of 31 feet, 72 feet, and 78 feet. Is it a right triangle?
yes
no
=========================================================
Explanation:
We have a triangle with these side lengths
a = 31b = 72c = 78The order of 'a' and b doesn't matter, but we must have c as the largest value. Usually a,b,c are in ascending order.
Plug those values into the formula for the pythagorean theorem. If we get the same thing on both sides, then we have a right triangle.
[tex]a^2 + b^2 = c^2\\\\31^2 + 72^2 = 78^2\\\\961+5184 = 6084\\\\6145 = 6084\\\\[/tex]
We have a false statement at the end, which means the original equation is false for those a,b,c values.
Therefore, we do not have a right triangle.
Instead, this triangle is acute since the [tex]a^2+b^2[/tex] side is larger than the [tex]c^2[/tex] side
---------------
Rules to have in your notebook or on a reference sheet:
[tex]\text{If }a^2 + b^2 = c^2 \text{ then it is a right triangle}\\\\\text{If }a^2 + b^2 > c^2 \text{ then the triangle is acute}\\\\\text{If }a^2 + b^2 < c^2 \text{ then the triangle is obtuse}\\\\[/tex]
For more information, check out the converse of the pythagorean theorem.
Let’s say you’re building a mini city, each apartment complex costs $10 each enough to supply 100 people, how many do I need to supply 50,000 people?
I need help with this asap pleaseee
Answer:
Form: (x+5)^2 = 2
Solution: -6.41, -3.59
Anthony graphed the inequality y < -2x + 1 as shown.
What error did Anthony make?
Answer:
See below ~
Step-by-step explanation:
Anthony has graphed the inequality y ≤ -2x + 1.
For an inequality using a > or < sign, a dotted line has to be used instead of a solid line.
Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. the total area of her yard is 1,000 m2. what is the approximate width of her backyard? a = lw 11.2 m 15.8 m 22.4 m 44.8 m
Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x - 50. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.
Using the image above, what is the measure of Angle J? Round to the nearest hundredth
Answer:
∠J = 31.06°
Step-by-step explanation:
Taking the inverse sin function :
sin ∠J = 1.6/3.1J = sin⁻¹ (0.516)∠J = 31.06°1. Are lines a and b perpendicular?
2. Are lines a and d perpendicular?
3. Are lines b and c parallel?
What is the area of this figure? 28cm 26cm 36cm 18cm
5. A TV program received 7.4 points of audience rating at the first week of its opening. Then, because many advertisements were inserted, its audience rating dropped by 25% at the second week. What was the audience rating at the second week? points Enter the answer Check it skip
Answer:
5.55 points
Step-by-step explanation:
25% reduction so its 75% of the original value
75% of 7.4 is 5.55
A prism has a volume of 125 cubic inches. The base measures 5 in x 5 in What is the height? a. 10 inches b. 25 inches c. 5 inches d. 125 inches
Answer:C
Step-by-step explanation:First multiply 5*5=25 then divide 125/5 = 5
A family of four realized their water bill was high and that a lot of water was being wasted in the shower. They replaced their 5-gallon-per-minute showerheads with ones that only use 3 gallons per minute. If each family member showers for 5 minutes per day and a typical month is 30 days long, how many gallons of water will the family save per month with the new showerheads
Answer:
[tex]5 \times 5 = 25 [/tex]
[tex]25 \times 30 = 750[/tex]
help me pls, will mark brainliest!!!!!!!!!!!!!
Step-by-step explanation:
since he was already on time on the first day, the question is reduced to the probability of being on time on exactly one of the next 2 days.
the probability to be on time on exactly one day means to be on time on one day and to be late on the other.
the probability to be late is the opposite of the probability to be on time, so
1 - 0.7 = 0.3
so, the probability for this combined event for one of the day combinations is
0.7 × 0.3 = 0.21
how many day combinations (1 day on time, the other late) can we have ? 2 (either on time on the first and late on the second, or late on the first and on time on the second).
so, we need to multiply this with the basic probability and get
0.21 × 2 = 0.42
so, b. is the right answer.
how would I solve y=9(x+3)(x-1) I need to find the vertex and the X intercepts
Answer:
See below ~
Step-by-step explanation:
Finding the x-intercepts :
The x-intercept's y-value is always 00 = 9(x + 3)(x - 1)x + 3 = 0 ⇒ x = -3x - 1 = 0 ⇒ x = 1So, hence the x-intercepts are : (-3, 0) and (1, 0)Finding the vertex :
Expand the polynomial from factorized formy = 9(x + 3)(x - 1)y = 9(x² + 3x - x - 3)y = 9(x² + 2x - 3)y = 9x² + 18x - 27Vertex = (h, k)h = -b/2a = -18/2(9) = -1k = 9(-1 + 3)(-1 - 1)k = 9(2)(-2)k = 9(-4) = -36Vertex = (-1, -36)Answer:
x-intercepts: x = 1 and x = -3
vertex: (-1, -36)
Step-by-step explanation:
x-interceptsx-intercepts are when y = 0
⇒ 9(x + 3)(x - 1) = 0
Divide both sides by 9:
⇒ (x + 3)(x - 1) = 0
Therefore:
⇒ (x + 3) = 0 ⇒ x = -3
⇒ (x - 1) = 0 ⇒ x = 1
Therefore the x-intercepts are x = 1 and x = -3
VertexVertex form: [tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Completing the square
[tex]\begin{aligned}y & =ax^2+bx+c\\& =a\left(x^2+\dfrac{b}{a}x\right)+c\\\\& =a\left(x^2+\dfrac{b}{a}x+\left(\dfrac{b}{2a}\right)^2\right)+c-a\left(\dfrac{b}{2a}\right)^2\\\\& =a\left(x-\left(-\dfrac{b}{2a}\right)\right)^2+c-\dfrac{b^2}{4a}\end{aligned}[/tex]
Therefore:
[tex]y=9(x+3)(x-1)[/tex]
[tex]\implies y=9x^2+18x-27[/tex]
Completing the square to rewrite the equation in vertex form:
[tex]\begin{aligned}y & =9x^2+18x-27\\& =9\left(x^2+\dfrac{18}{9}x\right)-27\\\\& =a\left(x^2+\dfrac{18}{9}x+\left(\dfrac{18}{2(9)}\right)^2\right)-27-9\left(\dfrac{18}{2(9)}\right)^2\\\\& =9\left(x-\left(-\dfrac{18}{2(9)}\right)\right)^2-27-\dfrac{18^2}{4(9)}\\\\& =9(x+1)^2-36\end{aligned}[/tex]
Therefore, the vertex is (-1, -36)
complete the statement, and find the value of x in the diagram.
help please!
Answer:
Also the quadrilateral shown is a rhombus
Step-by-step explanation:
PLEASE HELP GIVING BRAINLIST!!! Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = 1/2 XY?
And XZ=1/2XY
XZ be x
XY=YZ=2xNow
x+2x+2x=1075x=107x=21.4unitsXZ=21.4units
Answer:
XZ = 21.4 units
Step-by-step explanation:
If ΔXYZ is an isosceles triangle then XY = ZY
(the dashes on the line segments indicate they are of equal measure)
If XZ = ¹/₂XY then
⇒ 2XZ = XY = ZY
If the perimeter is 107 units:
⇒ Perimeter of ΔXYZ = XY + ZY + XZ
⇒ 107 = 2XZ + 2XZ + XZ
⇒ 107 = 5XZ
⇒ XZ = 107 ÷ 5
⇒ XZ = 21.4 units
6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?
The base of a ladder is 2.8m placed away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calculate the length of the ladder.
Step-by-step explanation:
Hello all beautiful your day
What transformations would result in the image shown?
Δ ABC is reflected over the x-axis and translated right 1 unit.
Δ ABC is reflected over the y-axis and translated up 1 unit.
Δ ABC is reflected over both axes.
Δ ABC is translated right 4 units and up 1 unit.
please 40 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.cannot
2.can
3.cannot
4.can
Step-by-step explanation:
it's actually quite simple. if the angles add up to 180°, it is a triangle. so if they don't, then its not a triangle.
21+28+41= 90 -> not a triangle
65+45+70=180 -> triangle
48+52+54=154 -> not a triangle
16+40+124=180 -> triangle
Translate the sentence into an equation.
Twice the difference of a number and 2 equals 5 .
Use the variable c for the unknown number.
Answer:
2(c-2)=5
Step-by-step explanation:
Twice means to multiply by two. Difference is subtraction, and the difference is between a number (c) and 2. Together, the equation equals 5.
Hope this helps!
Which of the following best describes how to use of the addition property of equality to isolate the variable x
below?
5=x-2
A. add 5 to both sides of the equation
B. subtract 5 from both sides of the equation
C. add 2 to both sides of the equation
D.
subtract 2 from both sides of the equation
please help !!!!!!!!!
Answer:
a) 1
b) 0
c) hundreths
d) .8
Step-by-step explanation:
The order, for this problem, is:
hundreds, tens, ones,
then after the decimal
tenths, hundredths, thousandths, ten thousandths, etc.
as for step d, imagine .08 as 8/100, and 8/10. Would you rather have 8 slices of pizza out of 100 slices, or 8 out of 10 slices of the whole?
I hope I helped!
Please help, I am bad at Trig
Answer:
the correct answer is A, thats when cos of ttheta is
What else would need to be congruent to show that AABC= ADEF by AAS?
8
E
60°
60"
10
10
A
С
O A. ZC=ZF
B. AC = DF
0 0
C. ZA ZD
D. BC = EF
With ∠C=∠F, ΔABC and ΔDEF are congruent by AAS congruence. Therefore, option A is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider ΔABC and ΔDEF,
Here, ∠B=∠E=50°
AB=DE=10 units
With ∠C=∠F
So, by AAS congruence theorem ΔABC and ΔDEF are congruent
Therefore, option A is the correct answer.
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Find sin(b) in the triangle.
A.4/3
B.3/5
C.3/4
D.4/5
The value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.
What are the trigonometric ratios?Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle [tex]\beta[/tex] is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,
[tex]\sin \beta=\dfrac{4}{5}[/tex]
Therefore, the value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.
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Combine the like terms to create an equivalent expression. 8k−5k
Answer:
3k
Step-by-step explanation:
8k and 5k are "like terms" because they have the same variable to the same degree. So because the are like terms they can be subtracted. Similarly to how 8-5 is 3,
8k - 5k is 3k
Dialtion, reduction or enlargment. Explain and show work. Homework is due today!!
Answer the questions and show work please!
Answer:
A)Reduction
B)0.5
Step-by-step explanation:
A)It gets smaller
B)A-D=12
A'-d'=6
6/12=0.5
The area of the following composite figure is 125 square centimeters. What is the value of b?
9 cm
13 cm
14 cm
12 cm
Answer:
b=125
Step-by-step explanation
9cm x 14 - 1 = 125