Given that ∠ABC ≅ ∠DBE, which statement must be true? ∠ABC ≅ ∠ABD ∠ABD ≅ ∠CBE ∠CBD ≅ ∠DBE ∠CBD ≅ ∠ABC

Find the area of this shape

Lilit [14]

$9 \times 13 = 117 {cm}^{2}$

4 0

2 years ago

Chelsea wants to buy a new iPhone that costs $324. She

vampirchik [111]

Answer:

13.4 or about two weeks

Step-by-step explanation:

so if she already has $56 and she needs $268 more to buy the phone so we'll do 268 divided by 20 to see how many weeks it will take which is 13.4 so you can either put 13.4 as the answer or you can put about two weeks because there are 7 days in a week and 13.4/7 is ~1.9 or 2

5 0

3 years ago

Read 2 more answers

A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

qaws [65]

The projectile's horizontal and vertical positions at time $t$ are given by

$x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t$

$y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2$

where $g=9.8\dfrac{\rm m}{\mathrm s^2}$ . Solve $y=0$ for the time $t$ it takes for the projectile to reach the ground:

$30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s$

In this time, the projectile will have traveled horizontally a distance of

$x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m$

The projectile's horizontal and vertical velocities are given by

$v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ$

$v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt$

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about $\sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}$ .

7 0

3 years ago

The number -3 can be classified as which of the following?

sp2606 [1]

<u>Answer</u>:

-3 is an integer, rational number and real number , so correct option id D) that is all of the above.

<u>Explanation:</u>

Integer is all natural number that a 1 , 2 , 3 , 4 ……. And zero and negative of natural numbers like -1 , -2 , -3 , - 4 ……. So -3 is an integer.

Rational number is the number which can be represented in the form of p/q where p and q are integers and q ≠ 0 . As -3 can be represented as (-3)/1 . hence -3 is also a rational number.

Real number is all number which can be represented on number line. All integers and rational numbers are real numbers . so -3 is also a real number.

Hence as -3 is an integer, rational number and real number , so correct option id D) that is all of the above.

5 0

3 years ago

13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?

den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

$5.4a+7.1$ and $-1.2a-6.3$