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joshua used two wood beams, pc and qa, to support the roof of a model house. the beams intersect each other to form two similar triangles qrp and arc, as shown in the figure below. the length of segment pr is 3.7 inches, and the length of segment cr is 5.6 inches. the distance between a and c is 4.9 inches.

what is the distance between the endpoints of the beams p and q?

a. 3.2 inches
b. 3.7 inches
c. 4.2 inches
d. 4.4 inches

Option A. 3.2 inches

Step-by-step explanation:

As shown in the figure it is given that Δ QRP and Δ ARC are two similar triangles.

Given lengths are mPR = 3.7 inches

mCR = 5.6 inches

Distance between A and C is = 4.9 inches

By the theorem of similar triangles in Δ PQR and Δ ACR

Therefore Option A. mPQ = 3.2 inches is the answer

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: