Answers
The diagonals of a rectangle are equal and bisect each other.
NQ= 2×5 =10
Using Pythagoras theoram,
PQ²+NP²=NQ²
4²+ NP²= 10²
NP²= 100-16
NP²= 84
NP =√84
NP=2√21 = 9.2Related Questions
find the value of x and y in the parallelogram
Answers
Answer:
x=14
y=40
Step-by-step explanation:
A parallelogram is like a rectangle 2 parallel sides are equal.
so x+3=17 and y-2=38
x+3=17
x=17-3
x=14
y-2=38
y=38+2
y=40
(a) If (x - 2)(x-5) <0 and x e N then find x.
Answers
Answer:
x = 3 or x = 4.
Step-by-step explanation:
We are given the following inequality:
[tex](x - 2)(x - 5) < 0[/tex]
It is a product, and a product is negative when one term is positive and the other is negative.
First case:
[tex]x - 2 > 0 \rightarrow x > 2[/tex]
And
[tex]x - 5 < 0 \rightarrow x < 5[/tex]
Thus, in the natural set: x = 3 and x = 4.
Second case:
[tex]x - 2 < 0 \rightarrow x < 2[/tex]
And
[tex]x - 5 > 0 \rightarrow x > 5[/tex]
Empty set.
Union of the cases:
Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.
a) Two thirds of the class are freshman
Is it parameter or statistic
Answers
Answer:
parameter
Step-by-step explanation:
A debt of $9000 is to be amortized with 4 equal semiannual payments. If the interest rate is 7%, compounded semiannually, what is the size of each payment?
Answers
Answer:
Instalment = Loan / PVAF (r%, n)
Where r is int rate per six months & n is no. of half years
= $ 9000 / PVAF (5% , 4)
= $ 9000/ 3.5460
= $ 2538.11
Pls comment, if any further assistance is required.
Step-by-step explanation:
The sum of two numbers is 67. The difference of the two numbers is 41. What are the two numbers.
Let 3 be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 67."
Write an equation that expresses the information in the sentence "The difference of the two numbers is 41."
Solve the system you have written above.
The larger number, 2 is
The smaller number, y is
Answers
Answer:
32
Step-by-step explanation:
4 lemons required to make 6 cups of lemonade
Answers
Answer:
If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade
Step-by-step explanation:
If you simplify 4/6 it would be 2/3
HELP EDCITEE !! PLEASE !!!
Answers
Answer:
75.3074525 dgrees
Step-by-step explanation:
law of sines
29/sin(115 degrees) = 13/sin(B)
==> B = 0.418374736 rad
or 75.3074525 dgrees
PLEASE HELP !! WILL MARK BRAINLIEST !!!
Answers
Answer:
5
Step-by-step explanation:
We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent
Now isolate x:
7y=3y+20
7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)
7y-3y=20
4y=20 (simplify)
4y/4=20/4 (divide by 4, division property if equality)
y=5
Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.
O 81x² - 12
O x^2 + 25
O 4x^2 – 25
O 9x^2 – 16
O x^2-50
O x^2-81
O x^2-100
Answers
Answer:
81x² - 12, no as 12 is not a perfect square x^2 + 25, no as it is a sum of squares 4x^2 - 25, yes 9x^2 - 16, yes x^2 - 50, no as 50 is not a perfect square x^2 - 81, yes x^2 - 100, yesWhich table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1
Answers
Answer:
Table C is the answer
Step-by-step explanation:
what are the possible zeros of f(x)= x^3-3x^2+x+5
Answers
Answer:
the only zero should be -1
Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
OTwo sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
45
Answers
Answer:
two sides have the same length which is less than the length of third side
Step-by-step explanation:
The sum of the lengths of the two sides is equal to the length of the third side.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle,
The side opposite to the equal angle are equal.
Now,
We have two 45 angles.
This means,
The sides opposite to the 45 angles will be congruent.
And,
The other angle is 90 degrees.
Which is a right triangle
Thus,
The sum of the lengths of the two sides is equal to the length of the third side.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
Use the formula for simple interest to help solve the following questions
Answers
Answer:
1. ₹ 382.50
2. ₹ 14,583.33
3. 6%
Step-by-step explanation:
Interest = p × r × t
p = principal amount
r = rate of interest
t = time in years
(1) Interest = 10,200 × 0.025 × 1.5
= ₹ 382.50
(2) Principal = [tex]\frac{I}{(r\times t)}[/tex]
= [tex]\frac{1750}{(0.04 \times 3)}[/tex]
= [tex]\frac{1750}{0.12}[/tex]
= ₹ 14,583.33
(3) [tex]Rate=\frac{(I \times 100)}{(p \times t)}[/tex]
[tex]=\frac{(1186.5 \times 100)}{(5650 \times 3.5)}[/tex]
[tex]=\frac{118650}{19775}[/tex]
= 6%
What is the volume of a cube whose sides are each 1 3/4 ft?
Answers
Answer:
5.4 (rounded)
Step-by-step explanation:
the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.
find two numbers whose ratios is 3 to 5 and whose sum is 88
Answers
Answer:
33 and 55
Step-by-step explanation:
[tex]\frac{x}{y}: \frac{3}{5}[/tex]
x + y = 88
3 + 5 = 8
[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]
[tex]x= \frac{3}{5}y[/tex]
[tex]y+\frac{3}{5}y=88[/tex]
[tex]\frac{8y}{5}=88[/tex]
[tex]5(\frac{8y}{5})=5(88)[/tex]
8y = 440
8y ÷ 8 = 440 ÷ 8
y = 55
x + y = 88
x + 55 = 88
x + 55 - 55 = 88 - 55
x = 33
(3+8i) (3+8i) multiply
Answers
Answer:-55+48i
Step-by-step explanation:
Answer:
Step-by-step explanation:
73
Given the lease terms below, what is the total price of this car if you buy it
after leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
.
Down payment: $1500
.
Monthly payment: $279
Security deposit: $350
• Acquisition fee: $700
O A. $26,346
B. $29,246
C. $27,100
OD. $20,876
Answers
9514 1404 393
Answer:
A. $26,346
Step-by-step explanation:
The cost is the sum of all of the payments made:
cost = down payment +24×monthly payment +deposit +acquisition fee +after-lease price
cost = $1500 +24×279 +350 +700 +17100 = $26,346
The total price of the car if you buy it after leasing is $26,346.
Before simplifying, how many terms are there in the expression -2x+8 -6y + 8x + 11?
5
6
3
4
Answers
Answer:
There are 5 terms in the given expression.
What is the x-intercept of the line y = 2x – 10?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
(5,0)
»»————- ★ ————-««
Here’s why:
I have graphed the equation in a program. When graphed, the point crosses through the point (5,0). This means that (5,0) is the x-intercept. See the graph attached below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Ali surveyed his classmates to see who liked tennis. In all, 32 males liked tennis, and 6 males did not like tennis; 13 females liked tennis, and 4 females did not like tennis. How many females did Ali survey
Answers
Answer:
Ali surveyed 17 females.
Step-by-step explanation:
From Ali's survey:
13 females liked tennis, while 4 did not.
This means that Ali's surveyed 13 + 4 = 17 females.
How many females did Ali survey?
Ali surveyed 17 females.
Tessellations (image below)
Answers
9514 1404 393
Answer:
regular octagon
Step-by-step explanation:
In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.
An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.
Octagons will not tessellate a plane.
Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)
Answers
Answer:
D is the answer to the question
In each turn of a game you toss two coins. If 2 heads come up, you win 2 points and if 1 head comes up you win one point
Answers
Answer:
I don't understand pls explain
In how many ways can 10 people be seated in 10badjacenr seats in a theater
Answers
What is the horizontal distance between (−5/3, -2) and (4, -2)?
ANSWER QUICK GIVING BRAIN LEST
Answers
Answer:
-2?
Step-by-step explanation:
use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.
Which point on the x-axis lies on the line that passes point C and is parallel to line AB
Answers
Answer:
(2,0)
Step-by-step explanation:
Definition: A number greater than 0 is called ____.
Answers
Answer:
a positive number as 0 is a neutral.
help me solve this question its coming in my next math test and i cant solve it!
Answers
Answer: sorry I can't help you
Step-by-step explanation: because the picture won't show up.
PLEASE HELP MEEEEEEEEEEEEEE
triangle area ?
Answers
Base is 5. Height is 5 root 3
Multiply then divide by 2
Answer:
A= 21.65063509
Step-by-step explanation:
triangle area is =base*hight/2
Because we have a right triangle we can apply the trigonometric functions
sin30 =base/hypothenuse = base/10
cos 30 = hight/hypothenuse =hight/10
sin30 = base /10 ; multiply both sides by 10
base = 10*sin30
cos 30 = hight /10 ; multiply both sides by 10
hight = 10 cos 30
A= 10*sin30*10*cos30/2 =
100*sin 30*cos 30/2=
50*sin30*cos30 = ; use calculator make sure is set up in degrees
A= 21.65063509
URGENT!! Bacteria tend to grow exponentially, by a common factor over equal
time intervals, because each cell divides into two daughter cells. A
particular bacteria culture begins with 1000 bacteria. The number of
bacteria doubles about every 12 h.
Answers
Answer:
Double the bacteria, 2000, 4,000, 8,000, 16,000 so on.
Step-by-step explanation:
Hope this helps
