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ANEK [815]
3 years ago
11

Find the measure of angle ABC. Round to one decimal place.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
M<ABC= (AD+CE)/2=(100+45)/2=145/2
m<ABC=72° 30'
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Candy and Tim share a paper route. It takes Candy 85 min to deliver all the papers, and it takes Tim 65 min. How long does it ta
RSB [31]

Answer:

The time required to finish the work by both candy and Tim working together = 36.83 minute

Step-by-step explanation:

Time taken by the candy to finish the work T_{1}= 85 min

Time taken by the Tim to finish the work T_{2}  = 65 min

Thus the time taken by both to finish the work = \frac{T_1 \times\ T_2}{T_1 + T_2}

Put the values of T_{1} and T_{2}  we get ,

                    T_{} = \frac{85 \times\ 65}{85 + 65}

                    T_{} = \frac{221}{6}

                    T_{} = 36.83 minute

Thus the time required to finish the work by both candy and Tim working together = 36.83 minute

3 0
3 years ago
Solve for the right triangle given only one side and angle
34kurt

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

8 0
3 years ago
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Complete the statements.
IRISSAK [1]

Answer:

ax+b

Step-by-step explanation:

6 0
3 years ago
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What is the y value of the vertex 4x^2+8x-8
Oksana_A [137]

Answer:

The y-value of the vertex is -12

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

f(x)=4x^{2}+8x-8 -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+8=4x^{2}+8x

Factor the leading coefficient

f(x)+8=4(x^{2}+2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+8+4=4(x^{2}+2x+1)

f(x)+12=4(x^{2}+2x+1)

Rewrite as perfect squares

f(x)+12=4(x+1)^{2}

f(x)=4(x+1)^{2}-12

The vertex is the point (-1,-12)

The y-value of the vertex is -12

5 0
3 years ago
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Help plzzz...also give steps
geniusboy [140]

Answer:

392π

Step-by-step explanation:

Equation is 1/3(piR^2)*h

Radius is 7, 7 squared is 49.

1/3(49π)(24)

392π

3 0
3 years ago
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