iveyana19 iveyana19

05-06-2024
Mathematics

Answered

In ΔXYZ, x = 1.2 cm, y = 9.1 cm and ∠Z=125°. Find the length of z, to the nearest 10th of a centimeter.

Answer :

mhanifa mhanifa

05-06-2024

9.8 cm

====================

Use the Law of Cosines:

z² = x² + y² - 2xy cos(Z)

Substitute the given values:

z² = 1.2² + 9.1² - 2(1.2)(9.1)cos(125°) ≈ 96.78

Calculate z:

z = √96.78 ≈ 9.8 cm (rounded to the nearest tenth)

Answer Link

Other Questions

Lia must work at least 5 hours per week in her family's restaurant for [tex]\$8[/tex] per hour. She also does yard work for [tex]\$12[/tex] per hour. Lia's pare

Consider a square-based prism water tank with dimensions [tex]$1 \, \text{m} \times 1 \, \text{m} \times 2 \, \text{m}$[/tex]. Assume the density of water is [t

Select the correct answer from the drop-down menu.A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and

Select the correct answer.How many solutions for [tex]$x$[/tex] does the following equation have?[tex]$2(x+4) - 1 = 2x + 7$[/tex]A. 1 B. 7 C. Infinite D. 0

QUESTION 4Psychologists look at _________ key indicators to determine if a behavior is considered abnormal.A. Two B. Five C. Seven D. Ten

Evaluate the function below for x=4

Reducing Customer Churn Rates in Netflix? descriptive analysis objective

Consider two variables which reflect for an individual in a certain population (1) hours worked and (2) their effective hourly wage rate. Do you think those two

Phenytoin is supplied in ampoules of 250 mg in 5 mL.What dose in milligrams is required to give 7.5 mg/kg to a 37 kg patient?Possible answers:A. 277.5 mg B. 250

Which of the following shows a correct in-text citation in APA style?A. (Liu, J.)B. (Liu, pg. 34, 2023)C. (Liu, 2023)D. (Jennifer Liu 2023)

The vast grasslands that border the great desert region of the Sahara are known as savannahs. jungles. wetlands. meoris. transvaals.

After taking over the Italian Peninsula, which areas did Rome conquer first?

explain why the value of k cannot be equal to 0

Which is a major function of diffusion in cells? A. to produce proteins B. to carry out mitosis C. to convert food into energy D. to get rid of waste material

Why do the cells in all living things need energy? A. to fuel their chemical reactions B. to help them decompose C. to communicate with other cells D. so they c

What is the answer to 8n+16.2=1.6

One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster? WHY? WHY

How is diffusion related to smelling the odor of a skunk that is far away

Why are we called carbon based life forms?

What is the value of the expression? 12.4 + (–2 + 1.6) A.11 B.12 C.15 D.16