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grigory [225]
3 years ago
14

X, Y and Z are three points on a map. Y is 43km and on a bearing of 041° from X. Z is 67km and on a bearing of 117° from X. Calc

ulate the distance between Y and Z rounded to 1 DP
Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

70.3km

Step-by-step explanation:

When the bearings are visualized and the points connected as a triangle, The angle x would be the difference of the both bearings from x

i.e 117-41 = 76

Using cosine rule,

YZ²= 43² + 67² - 2 x 43 x 67

cos76

YZ= √4944

= 70.3

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Including a 19% sales tax, a tailored suit costs $357. Find the original cost of the tailored suit.
WITCHER [35]

Answer:

119/100 = 357/X

Step-by-step explanation:

since 357 is the price with the extra 19% tax, you can put 119 and 357 as numerators in a fraction because thats the price % of total cost with the tax, then have the denominators as the normal price without tax. so 119/100 bc 119 is the total cost % with tax, and 100 as the normal cost %. same for the opposite side, 357/X. 357 being the price with the tax and X being the price without the tax. so you just cross multiply to find X. so 100 × 357 (35,700) then divide the answer of that by 119 (35,700/119) to find X (300)

4 0
3 years ago
A six-faced die is rolled .
STatiana [176]

Answer:

[A] 2/6

[B] 1/2

Step-by-step explanation:

Given:

A six-faced die is rolled .

To Find:

Find the probability of it landing on a value more than 4

Find the probability of it landing on an even number

Part A:

Knowing that a six-faced die has six number on it (1,2,3,4,5,6)

Thus, the probability of it landing on an value more than 4 is 2/6.

Because 5 and 6 is more than 4

Part B:

1,3,5 = Odd

2,4,6 = Even

Thus, the probability of it landing on an even number is 3/6 Simplify 1/2 . Which also is 50%.

<em>~Lenvy~</em>

8 0
2 years ago
Suppose according to past data for a small boutique, about 30% of the customers who walk into the store purchase at least one it
sashaice [31]

Answer:

Step-by-step explanation:

Let X be the no of customers who purchase atleast one item.

X is binomial since there are two outcomes and each customer is independent of the other.

a) Here n =10

Out of 10 customers we expect np = 3 customers to buy at least one item.

b) exactly 3 of the customers would purchase at least one item

=P(X=3)=10C3(0.3)^3(0,7)^7\\=0.2668

c) the probability that no more than 3 customers would purchase at least one item

=P(X\leq 3)\\= 0.6496

6 0
3 years ago
Wendy jumped 9/10 meters and Judy jumped 10/9 meters. Draw a number line to model the distance of each girls long jump. Who jump
romanna [79]
Well if you were to draw a number line from 0 to 2, 9/10 will be placed right before 1. 10/9 will be placed after one. Wendy jumped the shorter distance.
4 0
3 years ago
Read 2 more answers
If the lengths of two sides of a triangle are 3 and 12, which could be the length of the third side?
Ierofanga [76]

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:

6 0
3 years ago
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