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4 years ago

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Angle UZT is congruent to angle

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ss7ja [257]4 years ago

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IF 24% of the sixth grade class is in Mrs Whites class and Mrs White has 30 students how many sixth graders are there in all?

Alexeev081 [22]

Given

0.24 × (number of 6th grade students) = 30

Find

(number of 6th grade students

Solution

Divide by 0.24.

... (number of 6th grade students) = 30/0.24 = 125

4 0

3 years ago

Read 2 more answers

Gianna is making two different salads. One calls for 3 3/4 cups chopped spinach. The other calls for 2 2/3 cups chopped spinach.

ch4aika [34]

<h2> The answer is very simple add the whole numbers then find the LCM of 3 and 4 which is 12 then multiply 3/4 by 3 which will be 9/12 then multiply 2/3 by 4 which will be 9/12 then we add 9/12 + 8/12 which will equal to 5 17/12 which we can reduce and answer will be 6 5/12 spinach.</h2>

8 0

3 years ago

Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o

wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is $x = 274 \ unites$

Step-by-step explanation:

From the question we are told that

The length of the vertical length is $x$

The length of the base leg is L = 330 + d units

The length of the bisecting line segment is h

The base angle is $\theta = 28^o$

The angle between d and line segment is $\theta_1 = 56^o$

For the first angle

$Tan \theta_1 = \frac{x}{d}$

=> $d = \frac{x}{Tan \theta _1}$

For the whole big triangle

$Tan \theta = \frac{x}{330 + d}$

=> $d = \frac{x}{Tan \theta } -330$

So equating the both d

$\frac{x}{Tan \theta _1} = \frac{x}{Tan \theta } -330$

Substitute values

$\frac{x}{Tan (56)} = \frac{x}{Tan (28) } -330$

$0.6745 x = 1.880x -330$

$1.20549 x = 330$

$x = 274 \ unites$

5 0

3 years ago

Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change

OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

we know that

$x+y+z=260$ ----> equation A

$0.05x+0.10y+0.25z=29.75$ ----> equation B

$x=2z$ ----> equation C

substitute equation C in equation A and equation B

$2z+y+z=260$

$3z+y=260$ ---> equation A1

$0.05(2z)+0.10y+0.25z=29.75$

$0.35z+0.10y=29.75$ -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

so

z=75, y=35

<em>Find the value of x</em>

$x=2(75)=150$

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0

3 years ago

Park Rangers at the North Rim of the Grand Canyon recorded the amounts of rainfall over 12 months. What was the total amount of

myrzilka [38]

Answer:

65.532cm of rainfall over 12 months

Step-by-step explanation

5 0

4 years ago