Answer:
No.
Step-by-step explanation:
The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.
5 + 8 = 13.
13, which is the sum of two sides, is not larger than 16, the third side.
Therefore, a triangle cannot have these side lengths.
Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
[tex]p = MN + NP + PQ + QR + RM[/tex] (1)
[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)
If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:
[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]
[tex]p = 22[/tex]
The pentagon MNPQR has a perimeter of 22 units.
The pentagon MNPQR has a perimeter of 22 units.
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)
p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=
MN
∙
MN
+
NP
∙
NP
+
PQ
∙
PQ
+
QR
∙
QR
+
RM
∙
RM
(1b)
If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:
p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=
(5−2)
2
+(8−4)
2
+
(8−5)
2
+(4−8)
2
+
(8−8)
2
+(1−4)
2
+
(2−8)
2
+(1−1)
2
+
(2−2)
2
+(4−1)
2
p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=
3
2
+4
2
+
3
2
+(−4)
2
+
0
2
+(−3)
2
+
(−6)
2
+0
2
+
0
2
+3
2
p = 22p=22
The pentagon MNPQR has a perimeter of 22 units.
Can someone help pls
Answer:
F
Step-by-step explanation:
I'm guessing wjdhksdjene
Answer:
J
Step-by-step explanation:
The answer is option J
BRAINILIEST PLEASEThe talk-time battery life of a group of cell phone is normally distributed with a mean of 5 hours and a standard deviation of 15 minutes. A) What percent of the phones have a battery life of at least 4 hours and 45 minutes?
The correct answer is 84%
The phone battery lasts at least 4 hours and 45 minutes is 84%.
What is normal distribution of data?A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.
For the given situation,
The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.
50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.
The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.
So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.
Thus, the probability that the battery lasts at least 4 hours and 45 minutes,
⇒ [tex]50+34[/tex]
⇒ [tex]84[/tex]
Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.
Learn more about the normal distribution here
https://brainly.com/question/12707049
#SPJ2
ONLY CORRECT ANSWERS PLEASE HELP ME
Which three-dimensional figure does NOT have a vertex? (a) cylinder (b) rectangular prism (c) rectangular pyramid (d) triangular prism
I need Help with this question. The screenshot is attached below. Help PLS
Answer:
6
Step-by-step explanation:
What is the multiplication sentence for the following diagram?
Answer:
welllllllll thats is the confusion diagram
10x-18=15x+48 solve for the x please.
Answer: 15
Step-by-step explanation:
Use the graph to estimate the selling price for a 4-year old car.
O A. $24,000
B. $20,000
che c. $8,000
D. $16,000
Answer:
The Correct answer would be option D, $16,000.
Step-by-step explanation:
Look at the bottom section of the graph, that is labled
"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.
True or False? When finding the average rate of change if an exponential function, the interval [3, 5] means we want to use the points when x = 3 and when y = 5.
Answer:
yes
Step-by-step explanation:
what is the greatest common factor of 49x^2-21
Answer:
7x
Step-by-step explanation:
First find the common factors of the numbers: 49, 21.
That would be 1 and 7.
The GCF is 7 b/c it is greater than 1.
Find the common factors of x and x^2.
That is x times x
The factor for x ^1 is x itself.
The common factor for the both of them is x.
The GCF is then x.
The multiply the both of the GCFs (x.7) and you now have 7x.
So the GCF is 7x.
The greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.
In this question, the greatest common factor of [tex]49\cdot x^{2}-21[/tex] is the greatest multiple applied on each term of the polynomial. First we notice that greatest common factor may be entirely constant. Then, we proceed to calculate each constant by factor decomposition:
[tex]49 = 7^{2}[/tex], [tex]21 = 3\times 7[/tex]
Hence, we conclude that greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.
We kindly invite you to check question on greatest common factor: https://brainly.com/question/11221202
Boubacar went to the store to buy some walnuts. The price per pound of the walnuts
is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the
coupon, how much would Boubacar have to pay to buy 4 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.
Answer:
Step-by-step explanation:
Price per pound of the walnuts = $ 6.50
Price of 4 pounds of the walnuts = 4 *6.50 = $ 26
Amount needs to be paid = Price of 4 pounds of walnut - coupon amount
= 26 - 3.75
= $ 22.25
Expression:
Cost to buy p pounds of walnuts = p * 6.50 = 6.5p
Cost to buy p pounds of walnuts, assuming at least one pound is purchased = 6.50 + 6.5p
Please answer correctly
QRN= 65º
hope this helps!!
Someone help please!!! I don't understand. (20 points)
Sahiti has a circular tabletop with a 2-foot diameter. She wants to paint a pattern on the table top that includes a 2-foot-by-1-foot rectangle and 4 squares with sides 0.5 foot long. Which information makes this scenario impossible?
A. There will be no room left on the tabletop after the rectangle has been painted.
B. A 2-foot-long rectangle will not fit on the circular tabletop.
C. Squares cannot be painted on the circle.
D. There will not be enough room on the table to fit all the 0.5-foot squares.
Determine o valor da expressão: -1 + 6 x (7 – 4 ÷ 2)
Answer:
29 is the correct answer. Hope you like my answer.
What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the
origin?
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!
area of the painted part
Answer:
36
Step-by-step explanation:
7 + 7 + 11 + 11
Answer:
59.73 cm²
Step-by-step explanation:
[tex]2\pi r[/tex]
2 × π × 7
2 × 3.14 × 7
43.96 ÷ 4
10.99 cm²
11 cm - 7 cm = 4 cm
[tex]2\pi r[/tex]
2 × π × 4
2 × 3.14 × 4
25.12 ÷ 4
6.28 cm²
10.99 cm² + 6.28 cm² = 17.27 cm²
7 cm × 11 cm = 77 cm²
77 cm² - 17.27 cm²
59.73 cm²
find the area of the figure. use 3.14 for pi
Answer:
33.29
Step-by-step explanation:
A=πr^2
A=π2^2=12.57
12.57/2=6.29
7-4=3
3x2=6
6/2=3
4x6=24
6.29+3+24=33.29
1.
35, 56, 34, 44, 52, 12, 34, 45
Mean:
Median:
Mode:
Answer:
Mean x¯¯¯ 39
Median x˜ 39.5
Mode 34
Step-by-step explanation:
Mean: 39
Median: 39.5
Mode: 34
What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?
Given:
The polynomials are:
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
The sum of given polynomials is:
[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]
[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]
Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.
The price for pumpkin last year is $1.40 per kilogram. The price for pumpkin this
year is increased by $0.80 per kilogram. What is the price for pumpkin this year?
Answer:
1.40×0.80=1.12 or 1.40/0.80=1.75
Find the volume of the figure
HELP ME PLEASE IM STRUGGLING!!
Answer:
I got great news for you! I have a wonderful grade in math...
Anyway the answer is 6,318
Step-by-step explanation:
Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).
as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.
1,404+4,914=6,318
So now WALLA we have our answer.
What is the measure of angle z in this picture? NEED HELP ASAP
137
Step-by-step explanation:
43+ z=180
z=180-43
= 137
Answer:
137°
Step-by-step explanation:
Subtract 43 from 180
180 is the degree of a straight line
Angles y and 43 degree angle are equal so to find z you subtract the 43 from 180
180 - 43 = 137
Choose the correct future tense form of the verb in parentheses.
Ellos (saber) la verdad.
sabré
sabrás
sabremos
sabrán
.
Answer:
The correct future tense would be sabrán, which basically means they will know in English.
Step-by-step explanation:
Since the question states "Ellos" (they) as in a group of people, sabrán would be the right one.
These words (in order) basically roughly mean
I will know
You will know
We will know
THEY will know
Answer:
D. sabrán
Step-by-step explanation:
The form of the verb, saber, has to match the form of the pronoun that is doing the action. "Ellos" is doing the action, and ellos means "they". The "they" form of a verb ends with an "en" or "an". So your best answer is sabrán.Please click the heart if this helped.
Fill in the table using this function rule.
y = 2x + 5
Answer:
The answer is
[ X ][ Y ]
[ 1 ][ 7 ]
[ 2 ][ 9 ]
[ 5 ][ 15 ]
[ 7 ][ 19 ]
Brainiest please and lot of likes:)
If a single fair die is rolled, find the probability of rolling a 3 given that the number is prime.
Answer:
1/3 chance
Step-by-step explanation:
2,3, and 5 are prime
1 is NOT a prime number
-4(m + 18) = 8 answer
Answer:
m = -20
Step-by-step explanation:
first distribute:
-4(m + 18) = 8
-4m - 72 = 8
Now add 72 to both sides to get m by itself
-4m = 80
and divide by -4 on both sides
m = -20
Hope this helped! :)
Answer: m = -20
Step-by-step explanation:
−4(m + 18) = 8
Step 1: Simplify both sides of the equation.
−4(m + 18) = 8
(−4)(m) + (−4)(18) = 8 (Distribute)
−4m + −72 = 8
−4m − 72 = 8
Step 2: Add 72 to both sides.
−4m − 72 + 72 = 8 + 72
−4m = 80
Step 3: Divide both sides by -4.
−4m / − 4 = 80 / −4
m = −20
The number of bacteria is doubled every six hours. Estimate the number of bacteria present after 48 hours if initially there were 12 million bacteria present.
Answer:
96million
Step-by-step explanation:
48/6=8
12 000 000 * 8 = 96 000 000
=96 million
Answer:
96 million
Step-by-step explanation:
48/6= 8
8*12 million = 96 million
I need help I just got this today and I don’t know what to do btw it’s due tomorrow
Answer:
x = 35
Step-by-step explanation:
The proper equation of proportions is
x 42
----- = ------ and it yields x = 35
40 48
Answer:
? = 35
Step-by-step explanation:
The lengths of corresponding sides of similar polygons are in the same ratio.
The sides measuring 48 and 40 are corresponding sides.
The ratio of their lengths is 48/40.
The sides measuring 42 and ? are also corresponding, so they are in the same ratio.
That means we can set up a proportion to solve for the side with length ?.
48/40 = 42/?
Simplify the fraction on the left side.
6/5 = 42/?
Cross multiply.
6 * ? = 5 * 42
Divide both sides by 6.
? = 5 * 7
? = 35