Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
1. For multiplication and division), we first compare the number of significant figure (let's call it SF later in the problem) that the factors have. The product will have the least numbers between them. So, for the case of 11.55 x 2.5, 11.55 has 4 SF while 2.5 has 2. So we choose the smallest which is 2 for this case. Hence, the answer is B.
2. Using the same rules as mentioned in Item 1, we first compare the number of SF in the numbers give. 975.0321 has 7 SF while 0.0003 has 1 (all zeroes not following a counting number are not significant). We now solve for the quotient and round it off to 1 SF.
(975.0321/0.0003) = 3250107. Rounding it off, we have 3000000 or 3 x 10⁶. Thus, the answer is D.
3. The rules for multiplication still apply even for more than two factors. So, let's first take note of the SF present in each factor as shown below.
0.00147 = 3 SF
8.314 = 4 SF
7.100 = 4 SF (zeroes after a counting number in the decimal place are considered significant)
From this, we can see that the product must round off to 3 SF. Multiplying the three numbers, we have
0.00147 x 8.314 x 7.100 = 0.086773218
So, the product rounded off to 3 SF is 0.0868 or 8.68 x 10⁻². So, the answer must be C<span>.
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Answer:
5. 34°
6. 29.7
Step-by-step explanation:
5. Using sine law
25/sin(93) = 14/sin(C)
sin(C) = 0.5592325395
C = 34.00273934°
6. Using cosine law
AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)
AC² = 880.507229
AC = 29.67334206
<em>I believe the exponential form above is 5.61 x </em>
Answer:
561
Step-by-step explanation:
A<em> "scientific notation"</em> is being used in order to express large numbers in its <u>simplest form</u>. This is commonly used in careers that use Mathematics very often like<em> engineers</em> or<em> scientists </em>because it makes their computation easier.
The<em> "standard form"</em> refers to the standard or traditional way of writing the numbers.
In order to get the standard form above, you have to check the <em>"power of the number 10." </em>The exponent above is 2. This means that you have to move the decimal point of 5.61 to the<em> right twice.</em> So, the answer is 561.
Answer:
C. 3
Step-by-step explanation:
You know the angle sum is ...
∠FGT +∠TGH = ∠FGH
You can use this relation with the given values to find x.
90 + (8x +4) = 39x +1
93 = 31x . . . . . . . . . . . . . add -1-8x, collect terms
3 = x . . . . . . . . . . . . . . . . divide by 31
