1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Phoenix [80]
2 years ago
12

In △ABC, AB=9.2 ft, BC=11.9 ft, and m∠B=27°.

Mathematics
1 answer:
VladimirAG [237]2 years ago
8 0
To calculate the area of a triangle you need the base & the altitude to this base:

Area triangle = 1/2(B x H)

Let's draw the altitude A intersecting BC in H. WE get now a right triangle AHB. We know AG = 9.2 we know the angle B =27°, so we can find the altitude AH through trigonometry :
sin(B) = opposite side over hypotenuse
sin(27°) = AH/AB==> sin(27°) =0.454 ==0.454= AH/9.2==>AH =0.454*9.2

AH = 4.177

Area triangle ABC = (1/2) * 11.9 * 4.177= 24.85
You might be interested in
Find the area of this semi-circle with radius, r = 66cm. Give your answer rounded to 1 DP.​
Darya [45]

Answer:

414.857143

Step-by-step explanation:

r=66

=2*66*22/7

=414.857143

4 0
1 year ago
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we
Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

          $=\frac{1.82}{0.04}$

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0
2 years ago
What is the value of 4x - 7 when x = 4<br><br> 1<br> 9<br> 16<br> 23
inn [45]

Answer:

(4×4)_7

16_7

=9 as the answer

7 0
2 years ago
Read 2 more answers
QUICK need help right now
Mekhanik [1.2K]

Answer:

98 degrees

Step-by-step explanation:

angle kj and lm r equal

8 0
3 years ago
What is the value of variable in the equation below D +7×2 = 20
aleksklad [387]

Answer:

D=6

Step-by-step explanation:

So, first, we can multiply 7x2=14. Then, it would be D+14=20. 20-14=6, so D=6.

7 0
1 year ago
Read 2 more answers
Other questions:
  • This is the term in a polynominal without a variable
    5·2 answers
  • Rewrite the Product in Exponential Form : a. a. a. b. b. b. b ​
    15·1 answer
  • For your job, you often fly between Seattle and Miami. The distance between cities is 3,724 miles. You earn a free flight after
    14·1 answer
  • Will someone please help me?
    14·2 answers
  • Someone help me please need help
    13·2 answers
  • Explain the translation shown in the picture below
    7·1 answer
  • Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transfo
    11·1 answer
  • If you take half my age and add 7, you get my age 13 years ago. How old am I?
    9·1 answer
  • Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.
    15·1 answer
  • PLS HELP! ONLY IF YOUR 100% SURE PLS ANSWER NO PHONY ANSWERS PLS PLS PLS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!