Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
Answer:
To solve a system of linear equation graphically, it is best to write both equations in slope-intercept form first. After you put them in slope-intercept form, you should be able to graph them easily.For one solution, the two lines have to intersect at exactly one point, since both equations are satisfied at the intersection.
For no solution, the two lines have to never intersect, which means they have to be parallel lines. In other words, no solution will satisfy both equation.
Answer:
3
Step-by-step explanation:
If I remember how to solve these questions correctly, if there is a triangle that is 45 degrees, the hypotenuse will be times the square root of 2 of the other two sides (which are equal to eachother). Hope this helped!
Answer:
The total sale price that Gechina paid was $5,274.71.
Step-by-step explanation:
Given that Gechina Galvez shopped at a department store during the end-of-summer sale in which all luggage was marked down 35 percent, and she purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8,000, and a tote bag that regularly sells for $39.99, in order to know the total sale price, the following calculation has to be made:
100 - 35 = 65
(8,000 + 74.95 + 39.99) x 0.65 = X
8,114.94 x 0.65 = X
5,274.71 = X
Therefore, the total sale price that Gechina paid was $5,274.71.
Answer:
4b + 6t = 80
Step-by-step explanation:
A restaurant can seat 100 people it has booth that seat four people and tables that seat six people.
Let b = the number of booths in the restaurant.
Let t = the number of tables in the restaurant.
A total of 100 people will occupy (4b + 6t) seats in the restaurant.
(4b + 6t) seats lesser than or equal to 100.
So far, five of the booth are full. This means that a total of 4×5 = 20 people are already seated. Number of seats left would be 100 - 20= 80 seats.
The expression that matches the current situation can be expressed as follows:
4b + 6t + 20 = 100
4b + 6t = 100 - 20 = 80
4b + 6t = 80
