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3 years ago

What is the area of this triangle?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

5 0

Answer:

Area of the given triangle = 6.51 ft²

Step-by-step explanation:

If we redraw the triangle as shown in the figure attached we get the height of the triangle as x feet and base = 4.3 feet

Therefore area of ΔABC = (1/2) × Height (AD) × Base(BC)

From ΔABD

sin 53 = AD/AB = x/3.8

x = 3.8 × sin 53

= 3.8 × 0.7986 = 3.03 feet

Now area of ΔABC = (1/2)×3.03×4.3 = 6.51 feet²

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Calculate the unit rate: write your answer as a decimal 1/2 mile in ever 1/3 hour

Alexandra [31]

Answer:

$unit \: rate = \frac{distance}{time}$

unit rate is similar to speed / velocity:

$unit \: rate = \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\ \\ = \frac{1}{2} \div \frac{1}{3} \\ \\ = \frac{1}{2} \times \frac{3}{1} \\ \\ = > { \boxed{ \boxed{unit \: rate = \frac{3}{2} \: miles \: per \: hour}}}$

[unit rate must have units including per <time> ]

7 0

2 years ago

Solve by substitution X^2= 2y + 10 3x-y = 9

Viefleur [7K]

Answer:

$x=-4\\ x=-2\\ y=-21\\ y=-15$

Step-by-step explanation:

$x^{2} =2y+10$

$y=-9+3x$

$x^{2} =2(-9+3x)+10$

$x^{2} =-18+6x+10$

$x^{2} =6x-8$

$x^{2} -6x+8$

$x=-4, -2$

$y=-9+3(-4)$

$y=-9-12$

$y=-21$

$y=-9+3(-2)$

$y=-9-6$

$y=-15$

8 0

4 years ago

Read 2 more answers

Y is 1 less than 2 times X which order pair fits this rule

Anni [7]

Answer:

y < 2X - 1

y = 2X - 1

Step-by-step explanation:

Let's try to make an equation from the worded problem.

"is Less than " means <

2 times means 2 * X

= 2X

y < 2X - 1

y = 2X - 1

3 0

3 years ago

What is 10^6 in standard form?

Colt1911 [192]

I hope this helps you

10^6=10.10.10.10.10.10=1000000

10^6=(2.5)^6=2^6.5^6

3 0

3 years ago

Read 2 more answers

Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's ticket

RUDIKE [14]

Answer:

The number of children attending = 324

The number of adults attending = 176.

Step-by-step explanation:

Here, the total number of people attending = 500

Let us assume the umber of children attending the breakfast = m

So, the number of adults attending the breakfast = 500 - m

Cost of ticket for each children = $12.95

So, the cost of m children's tickets = m x ( Cost of 1 children ticket)

= m x ( $12.95) = 12.95 m .... (1)

Cost of ticket for each adult = $17.95

So, the cost of (500 -m) adults's tickets

= (500 - m) x ( Cost of 1 adult ticket) = (500 -m) x ( $17.95)

= 8,975 - 17.95 m .... (2)

Now, the total earnings from the total ticket sold = $7355

So, The earning from ( Adult's + children's tickets) = $7355

⇒ 12.95 m + 8,975 - 17.95 m = $7355

or, - 5 m = 7355 - 8975 = -1620

or, m = 1620/5 = 324

⇒ m =324

Hence the number of children attending = m = 324

The number of adults attending = 500 - m = 500 - 324 = 176.

7 0

3 years ago