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polet [3.4K]
1 year ago
7

What is the base (in inches) of a triangle with an area of 161 square inches and a height of 14 inches?

Mathematics
1 answer:
pantera1 [17]1 year ago
7 0

\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=14\\ A=161 \end{cases}\implies 161=\cfrac{1}{2}b(14) \\\\\\ 161=7b\implies \cfrac{161}{7}=b\implies 23=b

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4(PX+1)=64 what is the value of x in terms of p and what is the value of x when p is -5 ?
Oksana_A [137]

Answer:

x = -3

Step-by-step explanation:

4(PX+1)=64\\\\p= -5

Substitute -5 for p in the given equation and solve

4(-5(x)+1)=64\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4\left(-5x+1\right)}{4}=\frac{64}{4}\\\\Simplify\\-5x+1=16\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\-5x+1-1=16-1\\\\Simplify\\-5x =15\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5x}{-5}=\frac{15}{-5}\\\\Simplify\\x = -3

4 0
3 years ago
Lin's father is paying for a $40 meal. He has a 15%-off coupon for the
kap26 [50]
The subtotal of the meal is $34 because 15% of $40 is $6
4 0
2 years ago
At Arnold's Arcade, a child can buy 21 tokens for $6. At this rate, how many tokens would $20 get someone?
nydimaria [60]

Based on the information given, the number of tokens that will be bought if a child has $20 will be 70.

Since a child can buy 21 tokens for $6, the cost of one token will be:

= $6 / 21 = $0.2857143

Therefore, if a child has $20, the number of tokens that will be gotten will be:

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= 70

Therefore, 70 tokens will be bought.

Read related link on:

brainly.com/question/25776703

8 0
2 years ago
The ratio of the number of beads Karen had to the number of beads Patricia had was 2:5 .After Patricia bought another 75 beads,t
blondinia [14]
K:P=2:5
P+75 it is 4:15
at first, P=5 units
so we have
2:5 and 4:15
since the K units didn't change we conver them to the same
2:5 times 2:2=4:10
so from 4:10 to 4:15 is a change of 75 in the right side
therefor 75=5 units so 75/5=15/1= 1 unit
so at first K=4 units=4 times 1 unit=4 times 15=60
P=10 units so 10 times 15=150

at first
Karen=60
Patricia=150
7 0
3 years ago
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