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netineya [11]
3 years ago
10

Point A is the point of concurrency of the angle bisectors of ΔDEF. What is the length of ZA? ZA = 3cm ZA = 4cm ZA = 5cm ZA = 6c

m

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
5 0
The picture in the attached figure

we know that
The angle bisectors of a triangle intersect in a point (incenter) that is equidistant from the three sides of the triangle
so
ZA=YA=XA-----> <span>are the radii of the inscribed circle
XA=3 cm

therefore
ZA=3 cm

the answer is
ZA=3 cm</span>

leonid [27]3 years ago
5 0

Answer: Option A

Step-by-step explanation:

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Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then
yulyashka [42]
Height of the flagpole = x
distance from flagpole to the mirror = 48 ft
height of Michele = 5 ft
distance from Michele to the mirror = 12 ft

Now, set the proportion.

x/48 = 5/12
48 * x/48 = 5/12 * 48
x = 240/12
x = 20

So, the height of the flagpole is 20 ft.

HOPE THIS HELPS!!!!
5 0
3 years ago
Can someone please check if this is correct?
Solnce55 [7]

Answer:

Just two corrections!  See attached image.

Step-by-step explanation:

The product of 8 and b taken <u>from</u> 10 means begin with 10 and subtract 8b from it.

8 times the difference of 10 and b means find 10 - b first, <u>then</u> multiply by 8.

7 0
2 years ago
Q5 Q3.) How​ far, to the nearest​ foot, is the ship from the​ statue's base?
dusya [7]
Distance from base = 305 / tan(29.5deg)
= 539 ft
7 0
3 years ago
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
10/15 as a % to 2 decimal places
PolarNik [594]

Answer:

0.67

Step-by-step explanation:

all you need to do is divide 10 by 15

3 0
3 years ago
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