Answer:
x = √72 and yes, it forms a Pythagorean triple
Step-by-step explanation:
a^2 + b^2 = c^2,
3 is a, x is b, anf 9 is c
3^2 + x^2 = 9^2
9 + x^2 = 81
Subtract 9 from both sides
x^2 = 72
x = √72
a Pythagorean triple is a^2 + b^2 = c^2, and this has it
Answer:
X = 9.4
Step-by-step explanation:
Pythagorean Theorem:
Formula: a² + b² = c²
- A Pythagorean triple consists of any three positive integers.
Answer:
iiiiiiiipppppppppppp
b . An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain? c. What is the ratio of gold to other metals in 14 ct gold?
d. What is the ratio of gold to other metals in 9 ct gold?
To calculate the mass of other metals in each scenario, we need to use the given ratios.
Given:
- Pure gold is 24 carats (ct).
- 18 carat gold is an alloy of gold and other metals in the ratio 18:6 (18/24 parts pure gold and 6/24 other metals).
a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add?
First, let's find the mass of other metals in the 18 ct gold alloy.
18 ct gold contains 18/24 parts pure gold and 6/24 parts other metals. So, if the jeweller uses 3 grams of pure gold, the amount of other metals in the alloy can be calculated as follows:
Mass of other metals = (6/24) * 3 grams
Mass of other metals = (1/4) * 3 grams
Mass of other metals = 3/4 grams
b. An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain?
Similarly, for the 18 ct gold chain containing 4 grams of pure gold:
Mass of other metals = (6/24) * 4 grams
Mass of other metals = (1/4) * 4 grams
Mass of other metals = 4/4 grams
Mass of other metals = 1 gram
c. What is the ratio of gold to other metals in 14 ct gold?
For 14 ct gold, the ratio of gold to other metals is 14:10 (since 14 + 10 = 24, and gold is 14 out of 24 parts, while other metals are 10 out of 24 parts).
d. What is the ratio of gold to other metals in 9 ct gold?
For 9 ct gold, the ratio of gold to other metals is 9:15 (since 9 + 15 = 24, and gold is 9 out of 24 parts, while other metals are 15 out of 24 parts).
Answer:
The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 5/9.
Step-by-step explanation:
As given: Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
A pair of dice has 36 possible outcomes.
The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is or
Let 'A' and 'B' be the events that the sum of the numbers rolled is a multiple of 3 and a multiple of 4 respectively.
Set for A = {(1, 2), (1, 5), (2, 1), (2, 4), (3, 3), (3, 6), (4, 2), (4, 5), (5, 1), (5, 4), (6, 3), (6, 6)}, and set for B = {(1, 3), (2, 2), (2, 6), (3, 1), (3, 5), (4, 4), (5, 3), (6, 2), (6, 6)}.
So, together they form 20 sets ((6,6) is repeating so take once)
Hence, we get 20/36=5/9
Each point label on the box plot should be matched to its description as follows;
Point A ↔ minimum value.
Point B ↔ first quartile.
Point C ↔ median.
Point D ↔ maximum value.
In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set include the following:
Read more on boxplot here: brainly.com/question/29648407
#SPJ2
(1, -19) and (-2, -7)?
Answer:
i need help
Step-by-step explanation:
for the formula for slope is y=mx+b
and m is the slope
the answer
so the slope
-1