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gavmur [86]
2 years ago
11

116 is 35% of what number

Mathematics
1 answer:
Savatey [412]2 years ago
5 0
40.6 is the answer to the problem
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In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

8 0
3 years ago
the product of 2 consecutive positive into is 1,332. Explain how you can write and solve a quadratic equation to find the value
Dominik [7]
Let the smaller one is x so the larger is x+1 
x(x+1)=1332 
x^2+x=1332 
x^2 +x -1332 =0 
(x - 36)(x + 37) =0
so x = 36 or x = -37
therefor the larger integer is either 37 or -36

8 0
3 years ago
Read 2 more answers
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Thursday. There were fewer cheeseburgers sold th
myrzilka [38]

Answer:

the number of hamburgers sold on Thursday were 325.

Step-by-step explanation:

The total number of hamburger and cheese burger is missing

i will replace it with any figure, you can replace it wit your given data and you will get the solution.

A local hamburger shop sold a combined total of 593 hamburgers and cheeseburgers on Thursday

There were 57 fewer cheeseburgers sold than hamburgers

How many hamburgers were sold on thursday

Let h be the number of hamburgers and c be the number of cheeseburgers.

Using this information we can set up two equation as:

h+c=593\\c=h-57

Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:

h+h-57=593\\2h-57=593\\2h=650\\h=325

Therefore, the number of hamburgers sold on Thursday were 325.

6 0
3 years ago
I need help on this question. I need all the steps too, so please don’t just copy and paste something off of the internet.
Lorico [155]

Answer:

Find the LCM of 3.5 and 2.25

Step-by-step explanation:

which is 31.5

4 0
3 years ago
Read 2 more answers
A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up
miv72 [106K]

Answer:

height = 26.96 feet

Step-by-step explanation:

sin 64° = height/30

0.8988 = height/30

height = 26.96 feet

7 0
2 years ago
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