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Katen [24]
3 years ago
11

The area of the triangle shown is 40.0 centimeters squared What is the height of the triangle?

Mathematics
1 answer:
mash [69]3 years ago
8 0

Answer:

6.4cm

Step-by-step explanation:

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The length of an arc of a circle is 6.28 units, and the measure of the corresponding central angle is 1.12 radians. What is the
lorasvet [3.4K]
Hello,

arc=\theta \ * R\\\\
R= \frac{6.28}{1.12} =5,607142857...≈5.61
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3 years ago
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Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 fee
dangina [55]

the height of the tree is 23 feet .

<u>Step-by-step explanation:</u>

Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:

According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So

⇒ Tanx=\frac{y}{32}

But , From tony scenario

⇒ Tanx=\frac{5.75}{8}

Equating both we get :

⇒ \frac{y}{32}  = \frac{5.75}{8}

⇒ y=\frac{5.75(32)}{8}

⇒ y=23ft

Therefore , the height of the tree is 23 feet .

3 0
3 years ago
Please I need help for number 6 for brainlest and answer ! And show your work on how you got it
solmaris [256]

Answer:

Step-by-step explanation:

inverse variation. if value of x increase, y value decrease.

For example,

If x=10;   y =1/10 = 0.1

If x =100 ;  y = 1/100 = 0.01

8 0
3 years ago
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write the standard form of the equation of the circle with endpoints of a diameter at the points (9,2) and (-7,5)
AnnyKZ [126]

Answer:

Step-by-step explanation:

Answer:

(x-1)²+(y-3.5)² = 265/4

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+-7)/2, (2+5)/2

(1, 3.5) = center

then distance formula to find diameter

√(9- -7)²+(2-5)²=√256+9 = √265

The radius is half the diameter = (√265)/2

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-1)²+(y-3.5)² = 265/4

4 0
3 years ago
Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1
taurus [48]

\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.

5 0
3 years ago
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