Answer:
Less than
Step-by-step explanation:
Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
Know about the following<span> topics. </span>1<span>. Converse of Pythagorean Theorem. </span>2. 45-45-<span>90 </span>Right Triangles<span>. </span>3<span>. 30-60-90 </span>Right Triangles<span>. </span>4<span>. Tangent Ratio. </span>5. Sine Ratio. 6<span>. ... </span>Check<span> to see whether the </span>side lengthssatisfy the equation c2. = a2 + b2. (√113)2<span> = 72 + 82. 113 = 49 + 64. 113 = 113 </span>✓<span>. </span>7<span>. 8. √113 ? ? The triangle is a.</span>
Do you understand how to solve or do you want me to explain
Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be
and
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):

(Eq. 2) is (Eq. 1):





From (Eq. 2):



The weights of each cylinder and prism are 3 and 4 ounces, respectively.