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3 years ago

What is the expression 3 fewer than k

Mathematics

1 answer:

konstantin123 [22]3 years ago

3 0

K-3 is the expression for 3 fewer than K

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Solve the following proportion. P/6 = 7/8 A: P=5.25 B: P=8 C: P=10.5 D: P=42

ValentinkaMS [17]

Answer:

Step-by-step explanation:

given $\frac{P}{6}$ = $\frac{7}{8}$

using the method of cross- multiplication then

8P = 42 ( divide both sides by 8 )

P = $\frac{42}{8}$ = 5.25

4 0

3 years ago

areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,

maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles: $40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2$

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

$A(n)=40\cdot1.5^{2(n-1)}$

We want to determine which triangle has an area greater than $15000cm^2$ .

When A(n)=15000

$40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31$

Therefore, the 9th triangle has an area greater than $15000cm^2$ .

5 0

3 years ago

In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3).

allsm [11]

52, i am so sorry this is probably incorrect

4 0

3 years ago

Read 2 more answers

PLEASE SOMEONE HELP ME!!! I WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

taurus [48]

8.8 squared + 9.5 squared = square root 12.94 rounded 12.1

3 0

3 years ago

PQR is an isosceles triangle in which PQ = PR

otez555 [7]

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is ASA or Angle, Side, Angle and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that triangle QNR is congruent to triangle RMQ.

The image in the attachment shows the angles and their included side, which are colored.

3 0

3 years ago