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4 years ago

Triangle E D F has sides that are of varying lengths. Side E D has a length of 4 and side E F has a length of 9.

Mathematics

2 answers:

KonstantinChe [14]4 years ago

5 0

Answer:

DE + EF > DF

5 < DF < 13

Triangle DEF is a scalene triangle

Step-by-step explanation:

Got it right on Edge.

9966 [12]4 years ago

3 0

Answer:

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

we have the triangle EDF

where

$ED=4\ units\\EF=9\ units$

<u><em>Applying the triangle inequality theorem</em></u>

$ED+EF > DF\\4+9 > DF\\13 > DF\\DF < 13\ units$

$ED+DF > EF\\4+DF > 9\\DF > 5\ units$

The length of DF is the interval -----> (5,13)

The triangle DEF is a scalene triangle (the three length sides are different)

therefore

<em>The statements that are true are</em>

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

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drek231 [11]

Answer:

9 and 3

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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5 0

3 years ago

Find (19 × 105) − (5 × 104). A) 1.805 × 105 B) 1.805 × 106 C) 1.85 × 105 D) 1.85 × 106

Pavel [41]

Answer:

1850000

scientific notation:

= 1.85 × 10^6

Step-by-step explanation:

Don't have one sorry

4 0

3 years ago

Read 2 more answers

Voce 2x-u - 1x2-3x+3 = 2

kumpel [21]

Answer:

u=−x2−x+1

Step-by-step explanation:

Let's solve for u.

2x−u−1x^2−3x+3=2

Step 1: Add x^2 to both sides.

−x2−u−x+3+x2=2+x2

−u−x+3=x2+2

Step 2: Add x to both sides.

−u−x+3+x=x2+2+x

−u+3=x2+x+2

Step 3: Add -3 to both sides.

−u+3+−3=x2+x+2+−3

−u=x2+x−1

Step 4: Divide both sides by -1.

−u/−1=x2+x−1

−1/u=−x2−x+1

Answer:

u=−x2−x+1

5 0

3 years ago

Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$

7 0

4 years ago