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ipn [44]
3 years ago
5

ΔABC ~ ΔDEF. What is the length DF?

Mathematics
1 answer:
lana [24]3 years ago
3 0

ΔABC ~ ΔDEF

that means the ratio of DF to AC = the ratio of DE to AB

x:3.5 \\6:4

cross multiply

4x=6(3.5)\\4x=21\\x=\frac{21}{4}\\ x= 5.25

so DF = 5.25 cm

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You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where
Anastasy [175]

Answer:

<h3>55 secs</h3>

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

4 0
3 years ago
Whats the are of a parralelagram thats 9,3,20 23 5
vampirchik [111]

Answer:

Step-by-step explanation:

That is not a parallelogram. It has more than four sides.

Area of the white part of the figure is 4×20 = 80 m²

If you expand the figure to include the white part, its area is 9×23 = 207 m².

Green area = 207-80 = 127 m²

8 0
3 years ago
Solve a÷b(×)-c=0 for x<br>Help me please :)
adell [148]
A b x−c=0 Step 1: Multiply both sides by b. ax−bc=0 Step 2: Add bc to both sides. ax−bc+bc=0+bc ax=bc Step 3: Divide both sides by x. ax x = bc x a= bc x Answer: a= bc x
3 0
3 years ago
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
zysi [14]
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}
note: we don't need to write the base in case of the base =10

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>

3 0
4 years ago
Read 2 more answers
Jacob and Ashley run an animal shelter that houses only cats and dogs. they have 37 adult animals 21 cats and 16 dogs. A group o
Bond [772]
The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
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The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156
3 0
3 years ago
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