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2 years ago

Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).

Mathematics

1 answer:

pashok25 [27]2 years ago

5 0

Answer is 39 ft square
A=h•b/2
A=13•6/2
A=78/2
A=39 ft square

I attached photo

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Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle

tensa zangetsu [6.8K]

Answer:

The measure of the angles:

24° and 66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

angle 1:

3x+3 = 3*7 + 3 = 21+3 = 24°

angle 2

10x - 4 = 10*7 - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

7 0

2 years ago

Line segment AB has vertices A(-3, 4) and B(1, -2). A dilation centered at the orgin is applied to AB. The image has vertices A(

bixtya [17]

Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, $\frac{4}{3}$ )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = $\frac{A'}{A}$ = $\frac{-1}{-3}$ = $\frac{1}{3}$ and $\frac{\frac{4}{3} }{4}$ = $\frac{1}{3}$

similarly B (1, - 2 ) and B' ( $\frac{1}{3}$ , - $\frac{2}{3}$ )

$\frac{\frac{1}{3} }{1}$ = $\frac{1}{3}$ and $\frac{-\frac{2}{3} }{-2}$ = $\frac{1}{3}$

4 0

1 year ago

Three flavors of juice are offered at a school cafeteria The table shows the number of students who purchased each flavor during

Ilya [14]

Answer: A. 0.2

Step-by-step explanation:

Probability for any event = $\dfrac{\text{Favorable outcomes for event}}{\text{Total possible outcomes}}$

Three flavors of juice are offered at a school cafeteria.

The given table:

Orange Grape Cherry

51 30 69

Total juices = 51+30+69 =150

Now, the probability that a student who bought juice chosen at random purchased the grape flavor= $\dfrac{\text{Number of grape juices}}{\text{Total juices}}$

$=\dfrac{30}{150}=0.2$

Hence, the correct option is A.

6 0

3 years ago

If dy/dx = tan(x), then y=

Vikentia [17]

Dy/dx= tanx, can be answered directly using the derivatives of trigonometric functions but this is how the answer is derived
=(sinx/cosx) basic trigonometric function
= [cosx cox+sinxsinx]/cos^2x
=[cos^2x+sin^2x]/cos^2x
cos^2+sin^2x = 1 ; fundamental trigonometric identities
= 1/cos^2x; reciprocal relations
= sec^2x+C
The answer is letter B.sec^2x+C

6 0

3 years ago

Read 2 more answers

15x-3(3x+4)=6 what is x equal to, IDRC about the work as long as the answer is there

Alexxx [7]

Answer:

x = 3

Step-by-step explanation:

8 0

3 years ago