Answer:
123 degrees
Step-by-step explanation:
angle 1 is equal to angle 3, it is 123 degrees
Answer:
A. 36°
Step-by-step explanation:
Given:
m<NST = 15x - 4
m<RSN = 6x
m<RST = 122°
Required:
m<RSN
Solution:
First we need to create an equation to determine the value of x.
Thus:
m<NST + m<RSN = 122° => angle addition postulate
15x - 4 + 6x = 122 (substitution)
Add like terms
21x - 4 = 122
21x - 4 + 4 = 122 + 4
21x = 126
21x/21 = 126/21
x = 6
✔️m<RSN = 6x
Plug in the value of x
m<RSN = 6(6) = 36°
Let's translate each sentence into "Math".
Pineapple = p
Orange = x
is means equal
Pineapple is 7 times as heavy as an orange: p = 7x
Pineapple weighs 870 grams more than orange. p = 870 + x
Substitute p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
divide by 6
x = 145
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
Well, an even decimal die has probability 0.5 of rolling even and 0.5 of rolling odd.
The chances of rolling exactly one even number on five rolls is P(even)⋅(P(odd))4=0.5⋅0.54=0.55=132." role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">P(even)⋅(P(odd))4=0.5⋅0.54=0.55=132.P(even)⋅(P(odd))4=0.5⋅0.54=0.55=132.
The chances of rolling exactly three even numbers on five rolls is (P(even))3⋅(P(odd))2=0.53⋅0.52=0.55=132" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">(P(even))3⋅(P(odd))2=0.53⋅0.52=0.55=132(P(even))3⋅(P(odd))2=0.53⋅0.52=0.55=132.
The chances of rolling exactly five even numbers on five rolls is (P(even))5=0.55=132" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">(P(even))5=0.55=132(P(even))5=0.55=132.
Further, the probability of independent events is the sum of their probabilities, so the probability of rolling an odd number of even numbers is 332" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">332
Answer:
a= 20
b= 169.7
c= 29.71
Step-by-step explanation:
The formula of a triangle is (h*b)/2
a= (5*8)/2
b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2
c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2